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Two protons, each of charge 1.6 x 10-19 C are 2 x 10-5m apart. What is the change in potential energy if they are brought 10-5 m closer together?
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1. 1.15 x 10-23 J
2. 3.20 x 10-19 J
3. 3.20 x 10-16 J
4. 1.60 x10-14 J
There is a hollow, conducting, uncharged sphere with a negative charge inside the sphere. Consider the electrical potential at the inner and outer surfaces of the sphere
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1. The potential on the inner surface is greater.
2. The potential on the outer surface is greater.
3. The potentials on both surfaces are zero.
4. The potentials on both surfaces are equal but not zero.
There are two capacitors with CA bigger than CB and they are connected in series with a battery.
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1. There is more charge stored on CA.
2. There is more charge stored on CB
3. There is the same charge stored on each capacitor.
4. There is the same potential difference across both capacitors.
The potential at P1 is 7 V and the electric field there is 3 V/m.
When I move to P2 , the electric field decreases. However, if I
now triple the size of the charge +Q, the electric field at point P2 becomes 3 V/m. What is the potential at P2 now?
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1. 7/3 V
2. 7 V
3. 12 V
4. 21 V
The potential at P1 is 7 V and the electric field there is 3 V/m.
When I move to point P2 the potential decreases. However, if
I now triple the size of charge +Q the potential at point P2 now
becomes 7 V. What is electric field at P2 now?
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1. 1 V/m
2. 3 V/m
3. 5.2 V/m
4. 9 V/m
An electron is released from rest at the negative plate of a parallel plate capacitor. If the distance across the plate is 5 mm and the potential difference across the plate is 5 V, with what velocity does the electron hit the positive plate? (melectron
= 9.1 x 10-31 kg, qe = 1.6 x 10-19 C)
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1. 2.65 x 105 m/s
2. 5.30 x 106 m/s
3. 1.06 x 106 m/s
4. 1.33 x 106 m/s
If two parallel, conducting plates have equal positive charge, the electric field lines will
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1. leave one plate and go straight to the other plate
2. leave both plates and go to infinity
3. enter both plates from infinity
4. none of the choices
If the distance between two isolated parallel plates that are oppositely charged is doubled, the electric field between the plates is essentially unchanged. However,
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1. the potential difference between the plates will double.
2. the charge on each plate will double.
3. the force on a charged particle that is half way between the plates will get twice as small.
4. the force on a charged particle that is half way between the plates will get four times as small.
Consider two charged spheres, one with charge +2 C and the other with -2 C. A proton (a positively charged particle) is located at the point halfway between the spheres. What is not zero?
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1. the potential energy of the proton
2. the work to move the proton from infinity to that point
3. the force on the proton
4. all of these are zero
An electronics technician wishes to construct a parallel plate capacitor using Rutile (k = 100) as the dielectric. If the cross-sectional area of the plates is 1.0 cm2 , what is the capacitance if the Rutile thickness is 1.0 mm? ( e0 =
8.85 x 10-12 MKS units)
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1. 88.5 pF
2. 177.0 nF
3. 8.85 µ F
4. 100.0 µ F
The dielectric strength of Rutile is 6 x 106 V/m, which corresponds to the maximum electric field that the dielectric can sustain before breakdown. What is the maximum charge that a 10-10 F capacitor with a 1-mm thickness of Rutile can hold?
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1. 1.67 nC
2. 0.60 µ C
3. 0.30 mC
4. 6.0 C
In which case does an electric field do positive work on a charged particle?
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1. When a negative charge moves opposite to the direction of the electric field.
2. When a positive charge is moved to a point of higher potential energy.
3. When a positive charge completes one circular path around a stationary positive charge.
4. When a positive charge completes one elliptical path around a stationary positive charge.
Two capacitors with capacitances of 1.0 and 0.5 microfarads, respectively, are connected in series. The system is connected to a 100 V battery. What electrical potential energy is stored in the 1.0 microfarad capacitor?
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1. 0.065 x 10-3 J
2. 4.30 x 10-3 J
3. 0.80 x 10-3 J
4. 5.45 x 10-4 J
At what distance from a point charge of 8.0 microcoul would the electrical potential be 4.2 x 104 V? (k = 9 x 109 N-m2 /C2)
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1. 0.58 m
2. 0.76 m
3. 1.71 m
4. 2.94 m
A point charge of +3 microcoul is located at the origin of a coordinate system and a second point charge of -6 microcoul is at x = 1.0 m. What is the electric potential at the x = 0.5 m point? (k = 9 x 109 N-m2 /C2 )
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1. 16.2 x 104 V
2. 10.8 x 104 V
3. -10.8 x 104 V
4. -5.4 x 104 V
A point charge of +3 microcoul is located at the origin of a coordinate system and a second point charge of -6 microcoul is at x = 1.0 m. At what point on the x-axis is the electrical potential zero?
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1. -0.25 m
2. +0.25 m
3. +0.33 m
4. +0.75 m
A 0.25 microfarad capacitor is connected to a 400 V battery. What potential energy is stored in the capacitor?
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1. 1.2 x 10-12 J
2. 1.0 x 10-4 J
3. 0.040 J
4. 0.020 J
Two capacitors with capacitances of 1.0 and 0.5 microfarads, respectively, are connected in parallel. The system is connected to a 100 V battery. What charge accumulates on the 1.0 microfarad capacitor?
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1. 150 microcoul
2. 100 microcoul
3. 50 microcoul
4. 33 microcoul
Two capacitors with capacitances of 1.0 and 0.5 microfarads, respectively, are connected in parallel. The system is connected to a 100 V battery. What electrical potential energy is stored in the 1.0 microfarad capacitor?
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1. 1.7 x 10-3 J
2. 7.5 x 10-3 J
3. 5.0 x 10-3 J
4. 10.0 x 10-3 J
Two capacitors with capacitances of 1.0 and 0.5 microfarads, respectively, are connected in series. The system is connected to a 100 V battery. What charge accumulates on the 1.0 microfarad capacitor?
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1. 150 microcoul
2. 100 microcoul
3. 50 microcoul
4. 33 micorcoul
Two point charges of values +3.4 and +6.6 microcoul, respectively, are separated by 0.10 m. What is the electrical potential at the point midway between the two point charges? (k = 9 x 109 N-m2 /C2 )
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1. +1.8 x 106 V
2. -0.9 x 106 V
3. +0.9 x 106 V
4. +3.6 x 106 V
An electron in a TV picture tube is accelerated through a potential difference of 10 kV before it hits the screen. What kinetic energy does the electron gain in the process? (qe = 1.6 x 10-19 C)
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1. 1.0 x 104 J
2. 1.6 x 10-15 J
3. 1.6 x 10-22 J
4. 6.25 x 1022 J
An electron in a TV picture tube is accelerated through a potential difference of 10 kV before it hits the screen. What is the kinetic energy of the electron in electron volts? (1 ev = 1.6 x 10-19 J)
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1. 1.0 x 104 eV
2. 1.6 x 10-15 eV
3. 1.6 x 10-22 eV
4. 6.25 x 1022 eV
A 0.25 microfarad capacitor is connected to a 400 V battery. What is the charge on the capacitor?
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1. 1.2 x 10-12 C
2. 1.0 x 10-4 C
3. 0.040 C
4. 0.020 C
Very large capacitors have been considered as a means for storing electrical energy. If we constructed a very large parallel plate capacitor of plate area 1 m2 using Pyrex (k = 5.6) of thickness 2 mm as a dielectric, how much electrical energy would it store at a plate voltage of 6000 V? ( e0 =
8.85 x 10-12 C/N-m2 )
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1. 0.45 J
2. 90 J
3. 9,000 J
4. 45,000 J
How much charge can be placed on a capacitor of plate area 10 cm2 with air between the plates before it reaches "atmospheric breakdown" where E = 3 x 106 V/m? ( e0 = 8.85 x 10-12 C/N-m2 )
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1. 2.66 x 10-8 C
2. 3.99 x 10-7 C
3. 5.32 x 10-6 C
4. 6.65 x 10-5 C
A uniform electric field, with a magnitude of 5 x 102 N/C, is directed parallel to the positive x-axis. If the potential at x = 5 m is 2500 V, what is the potential at x = 2 m?
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1. 1000 V
2. 2000 V
3. 4000 V
4. 4500 V
A uniform electric field, with a magnitude of 5 x 102 N/C, is directed parallel to the positive x-axis. If the potential at x = 5 m is 2500 V, what is the change in potential energy of a proton as it moves from x = 5 m to x = 2 m? (qp = 1.6 x
10-19 C)
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1. 8.0 x 10-17 J
2. 2.4 x 10-16 J
3. 1.9 x 1021 J
4. 500 J
What will be the electrical potential at a distance of 0.15 m from a point charge of 6.0 microcoul? (k = 9 x 109 N-m2 /C2 )
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1. 5.4 x 104 V
2. 3.6 x 105 V
3. 2.4 x 106 V
4. 1.2 x 107 V
Two point charges of values +3.4 and +6.6 microcoul, respectively, are separated by 0.20 m. What is the potential energy of this 2-charge system? (k = 9 x 109 N-m2 /C2 )
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1. +0.34 J
2. -0.75 J
3. +1.0 J
4. -3.4 J
The unit of capacitance, the farad, is dimensionally equivalent to which of the following?
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1. volt/coulomb
2. volt x coulomb
3. joule/volt
4. coulomb/volt
Inserting a dielectric material between two charged parallel conducting plates, originally separated by air and disconnected from a battery, will produce what effect on the capacitor?
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1. increase charge
2. increase voltage
3. increase capacitance
4. decrease capacitance
Increasing the separation of the two charged parallel plates of a capacitor which are disconnected from a battery will produce what effect on the capacitor?
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1. increase charge
2. decrease charge
3. increase capacitance
4. decrease capacitance
Increasing the voltage across the two plates of a capacitor will produce what effect on the capacitor?
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1. increase charge
2. decrease charge
3. increase capacitance
4. decrease capacitance
Which of the following characteristics are held in common by both gravitational and electrostatic forces when dealing with either point masses or charges?
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1. inverse square distance law applies
2. forces are conservative
3. potential energy is a function of distance of separation
4. all of these choices are valid
If three capacitors of values 1.0, 1.5, and 2.0 microfarads each are connected in parallel, what is the combined capacitance?
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1. 4.5 microfarads
2. 4.0 microfarads
3. 2.17 microfarads
4. 0.46 microfarads
If a 10.0 microfarad capacitor is charged so that it stores 2 x 10-3 J of electrical potential energy, what is its electrical potential?
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1. 20 V
2. 15 V
3. 10 V
4. 5 V
The unit of electrical potential, the volt, is dimensionally equivalent to which of the following?
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1. joule x coulomb
2. joule/coulomb
3. coulomb/joule
4. farad x coulomb
The quantity of electrical potential, the volt, is dimensionally equivalent to which of the following?
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1. force/charge
2. force x charge
3. electric field x distance
4. electric field/distance
A free electron in an electric field will experience a force acting in what direction with respect to the field?
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1. parallel
2. anti-parallel
3. perpendicular
4. along a constant potential line
At which location will the electric field between the two parallel plates of a charged capacitor be the strongest in magnitude?
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1. near the positive plate
2. near the negative plate
3. midway between the two plates
4. electric field is constant throughout space between plates
Four point charges are positioned on the rim of a circle of radius 10 cm. The charge on each of the four (in microcoul) is +0.5, +1.5, -1.0, -0.5. If we are told that the electrical potential at the center of the circle due to the +0.5 charge alone is 4.5 x 104 V, what is the total potential at the center due to the four charges combined?
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1. 18.0 x 104 V
2. 4.5 x 104 V
3. zero
4. -4.5 x 104 V
If an electron is accelerated from rest through a potential difference of 1200 V, what is its approximate velocity at the end of this process? (qe = 1.6 x 10-19 C;
me = 9.1 x 10 -31 kg)
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1. 1.0 x 107 m/s
2. 1.4 x 107 m/s
3. 2.1 x 107 m/s
4. 2.5 x 107 m/s
If three capacitors of values 1.0, 1.5, and 2.0 microfarads each are connected in series, what is the combined capacitance?
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1. 4.5 microfarads
2. 4.0 microfarads
3. 2.17 microfarads
4. 0.46 microfarads
If a 12 V battery is connected between two parallel plates separated by 0.6 cm, what is the magnitude of the electric field between the plates?
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1. 2.0 x 103 N/C
2. 7.2 x 10-2 N/C
3. 0.5 x 10-3 N/C
4. 0.75 x 106 N/C
An electron (charge = -1.6 x 10-19 C) moves 10 cm on a path perpendicular to the direction of a uniform electric field of strength 3.0 N/C. How much work is done on the electron in this process?
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1. 4.8 x 10-20 J
2. -4.8 x 10-20 J
3. 1.6 x 10-20 J
4. zero
Two positive point charges are initially separated by a distance of 2 cm. If their separation is increased to 6 cm, the resultant potential energy is what factor times the initial potential energy?
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1. 3.0
2. 9.0
3. 1/3
4. 1/9
A proton (+1.6 x 10-19 C) moves 10 cm on a path parallel to the direction of a uniform electric field of strength 3.0 N/C. How much work is done on the proton by the electrical field in this process?
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1. 4.8 x 10-20 J
2. -4.8 x 10-20 J
3. 1.6 x 10-20 J
4. zero
When a proton (+1.6 x 10-19 C) moves 0.10 m along the direction of an electric field of strength 3.0 N/C, what is the magnitude of the electrical potential difference between the proton's initial and ending points?
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1. 4.8 x 10-19 V
2. 0.30 V
3. 0.033 V
4. 30.0 V
An electron with velocity v = 106 m/s is sent between the plates of a capacitor where the electric field is E = 500 V/m. If the distance the electron travels through the field is 1 cm, how far is it deviated (Y) in its path when it emerges from the electric field? (melectron = 9.1 x 10-31 kg, qelectron = 1.6 x 10-19 C)
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1. 2.1 mm
2. 4.2 mm
3. 2.1 cm
4. 4.2 cm
Electrons in an X-ray machine are accelerated from rest through a potential difference of 50,000 V. What is the kinetic energy of each of these electrons in eV? (1 eV = 1.6 x 10-19 J)
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1. 50 eV
2. 80 eV
3. 330 eV
4. 50 keV
A parallel-plate capacitor has dimensions 2 cm x 3 cm. The plates are separated by a 1 mm thickness of paper (dielectric constant k = 3.7). What is the charge that can be stored on this capacitor, when connected to a 9-volt battery? ( e0 =8.85
x 10-12 C2 /N-m2 )
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1. 19.6 x 10-12 C
2. 4.75 x 10-12 C
3. 4.75 x 10-11 C
4. 1.76 x10-10 C
What is the equivalent capacitance of the combination shown?
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1. 20 µ F
2. 90 µ F
3. 22 µ F
4. 4.6 µ F
If C1 = 15 µ F, C2 = 10 µ F, C3 = 20 µ F, and V0 = 18 V, determine the energy stored by C2 .
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1. 0.72 mJ
2. 0.32 mJ
3. 0.50 mJ
4. 0.18 mJ
A parallel-plate capacitor has a capacitance of 20 µ F. What charge on each plate will produce a potential difference of 36 V between the plates of the capacitor?
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1. 7.2 x 10-4 C
2. 3.6 x 10-4 C
3. 1.8 x 10-4 C
4. 0.9 x 10-4 C
What is the equivalent capacitance of the combination shown?
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1. 29 µ F
2. 10 µ F
3. 40 µ F
4. 25 µ F
What is the equivalent capacitance between points a and b ? All capacitors are 1 microfarad capacitors.
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1. 4.00 µ F
2. 1.67 µ F
3. 0.60 µ F
4. 0.25 µ F
If C = 45 µ F, determine the equivalent capacitance for the combination shown.
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1. 36 µ F
2. 32 µ F
3. 34 µ F
4. 30 µ F
If C = 10 µ F, what is the equivalent capacitance for the combination shown?
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1. 7.5 µ F
2. 6.5 7.5 µ F
3. 7.0 7.5 µ F
4. 5.8 7.5 µ F
There are two capacitors with CA bigger than CB and they are connected in parallel with a battery.
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1. There is more potential difference across CA
2. There is more potential difference across CB
3. There is the same charge stored on each capacitor.
4. There is the same potential difference across both capacitors.
