Chapter-VII-Time varying fields and Maxwell’s equations

VIDHYADEEP INSTITUTE OF ENGINEERING AND TECHNOLOGY

Vidhyadeep Campus, Anita (Kim), Ta. Olpad, Dist. Surat

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Subject Name: EF Subject Code: 3140912 Sem: 4th (2019-20)

Chapter-VII-Time varying fields and Maxwell’s equations

1) Write a short note on displacement current

2) Write and explain differential & integral form of maxwell’s equation.

3) State and explain induction heating

4) State and explain eddy current testing of material.

5) Explain the construction and working principle of magneto hydrodynamic (MHD)

generator.

6) What values of A and β are required of two fields E = 120π cos (106 π t βx) āy (V/m)

and H = A cos (106 π t – βx) āz (A/m). Satisfy Maxwell’s in a Medium where εr = 4 and

σ= 0.

Subject Coordinator H.O.D. (Ele.)



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Chapter-IV Poission’s and Laplace’s equation

Chapter-V Magnetic forces, materials and inductance

1) Define poission’s and laplace’s equations.

2) state the use of the poission’s and laplace’s equation and uniqueness theorem.

3) State and explain ampere’s circuital law.

4) Explain concept of scalar magnetic potential and magnetic vector potential.

5) Expression for torque on differential current group in magnetic field when the force

and torque on a closed circuit.

6) State and explain Biotsawart’s law for static magnetic field.

7) State and Explain stoke theorem.

8) Define curl and write significance to decide type of field on bases of curl.

9) State and Explain Ampere circuital law both in integral and differential form.

10) State and explain Biotsawart’s law for static find H due to infinitely long straight

conductor carrying current of 1 amp.

11) For steady magnetic fields prove that ∆ ×H=J




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Chapter-VI Magnetic forces, materials and inductance

1) State and explain the Lorentz force equation.

2) Explain the Lorentz force equation on charge particle and also explain magnetic

torque.

3) Explain magnetic dipole.

4) Write a short note on “ Magnetic material “

5) Explain Magnetic boundary condition.

6) What is induction? Explain self induction and mutual induction.

7) Write a short note on ferrite core and also list out various properties of ferrites.

8) A rectangular conducting loop with a resistance of 0.2 Ω rotates at 500 rpm. The

vertical conductor at r1 = 0.03 m is in the field B1 = 0.25 ār T and other conductor is at

r2 = 0.05 m and in the field B2 = 0.8 ār T. Find current flowing in the loop.

9) Short note on Method of images.

10) Advantage and application of numerical techniques in engineering.

11) Write a short note on “ Finite element method”.




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Chapter-III Conductors, Dielectrics and Capacitance

1) Derive relation between I & J.

2) Derive the continuity equation of current and also explain relaxation time.

3) Explain boundary condition

4) Explain boundary condition for perfect dielectric material.

5) Explain boundary condition for conductor – free space interface.

6) Derive the Poisson’s and Laplace’s equation for fundamental.

7) The finite sheet 0 ≤ x≤ 1, 0≤y≤1 on the z = 0 plane has a charge density ρs = xy (x2 +

y2 + 25)3/2 nC/m2. Find:

1) The total charge on the sheet,

2) The electric field at (0, 0, 5)

3) The force experienced by a – 1 mC charge located at (0, 0, 5).

8) A dielectric-free space interface has the equation 3x + 2y + z = 12 m. The origin side of

the interface has εr1 = 3 and E1 = 2āx + 5āz (V/m). Find E2.

9) A 15-nC point charge is at the origin in free space. Calculate V1 if point P1 is

located at P1(-2,3,-1) and (a) V=0 at (6,5,4); (b) V=0 at infinity; (c) V = 5Vat

(2,0,4).




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Chapter-II Static Electric Fields

1) Explain coulomb’s law & explain vector form of coulomb’s law.

2) Define Electric field intensity. Derive the necessary equation for electric filed

Intensity due to line charge.

3) Derive the expression for electric field intensity due to a uniform line charge over

infinite z- axis.

4) Derive the expression for electric field intensity due to a infinite surface charge

distribution in free space.

5) State and explain gauss’s law and explain special Gaussian surface.

6) State and explain gauss’s law and derive expression for D due to a point charge Q at

the origin.

7) State and explain gauss’s law expression for D due to infinite line charge.

8) State and explain gauss’s law expression for D due to infinite surface charge.

9) Derive Maxwell first equation as applied to the electrostatic, using gauss’s law.

10) Explain divergence theorem.

11) Explain the concept of potential difference.

12) A uniform line charge, infinite in extent with ρL = 20 nc/m lies along the z axis. Find

the E at (6,8,3) m. Find the total charge inside a volume having volume charge



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density as 10z2e

-0.1xsinπy c/m

3. The volume is defined between -2 < x < 2, 0 < y <

1 and 3 < z < 4

13) A charge of -0.3 µ C is located at A(25,-30,15) (in cm), and a second charge of 0.5

µ C is at B(-10,8,12) cm. Find Electric field intensity E at (a) the origin; (b)

P(15,20,50) cm.

14) Determine electric flux density at (4,0,3) if there is a point charge -5 π mc at (4,0,0)

and a line charge 3 π mc/m along the y-axis.




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Chapter-I Review of vector Analysis

1) Explain Cartesian coordinate system in brief and equation of differential length,

differential surface and differential volume elements.

2) Explain how to dot product and cross product of vector is carried out.

3) Explain cylindrical coordinate of system of vectors in brief

4) Define and explain unit vector in Cartesian and cylindrical coordinate system and

spherical coordinate system.

5) Explain spherical coordinate system and give relationship b/w Cartesian and spherical

coordinate system.

6) Define scalar field and vector field with proper example.


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Chapter-VII-Time varying fields and Maxwell’s equations