Lecture 9: Currents

Friday—February 6

Batteries and EMF

Lecture 10 Monday February 9

Properties of a Current

Slide 22-5

Reading Quiz 1. The charge carriers in metals are

A. electrons B. positrons C. protons D. a mix of protons and electrons

Slide 22-2

The charge carriers in metals are

Elec

tron

s

Pro

tons

Pos

itron

s

A m

ixture

of p

roto

ns and

...

25% 25%25%25%1. Electrons2. Protons3. Positrons4. A mixture of protons

and electrons

Rank the bulbs in the following circuit according to their brightness, from brightest to dimmest

A B C D

25% 25%25%25%1. A2. B3. C4. D

Problems due Monday

• Problems: 22: CQ6, 1, 2, 6, 11• CQ6: ranking currents using sum in = sum out• 1: I =ΔQ/Δt in coulombs and electrons• 6: I =ΔQ/Δt lightning strike• 11: sum in = sum out

QUIZ #4

• In a typical lightning stroke, 2.5 C flows from a cloud to ground in 0.20 ms. What is the current in the strike?

Circuits

• Current needs a complete circuit to flow.• What makes the current flow around the circuit?

We know energy is being lost, for example as heat and light in a light bulb.

• What is flowing?– Electrons in metals– Average velocity very low because so many– Collisions with ions cause energy loss so velocity on the

average is constant even though E field is always accelerating the electrons.

A battery is connected to a resistor. As charge flows, the chemical energy of the battery is dissipated as

Cur

rent

Volt

age

Cha

rge

Ther

mal

ener

gy

25% 25%25%25%

1. Current2. Voltage3. Charge4. Thermal energy

Batteries

The potential difference between the terminals of a battery, often called the terminal voltage, is the battery’s emf.

Slide 22-9

∆Vbat = = Wchem

q____

Simple Circuits

The current is determined by the potential difference and the resistance of the wire:

Slide 22-10

I =∆Vchem

R_____

Resistivity

The resistance of a wire depends on its dimensions and the resistivity of its material:

Slide 22-11

The resistivity of the body is a good measure of its overall composition. A measure of the resistance of the upper arm is a good way to estimate the percent fat in a person’s body. Let’s model a person’s upper arm as a cylinder of diameter 8.0 cm and length 20 cm. We can model the composition of the arm by assuming that the muscle, far, and nonconductive portions (the bone) form simple regions. This simple model actually works quite well. For a typical adult, the bone has a cross-sectional area of 1.0 cm2; to a good approximation, the balance of the arm is fatty tissue or muscle.

A. Assume that the arm has 30% fat and 70% muscle. What is the resistance of the arm?

B. Now, assume that the arm has only 10% muscle. What is the resistance now?

The measurement of the resistance of the arm is made by applying a voltage and measuring a current. Too much current can be uncomfortable and, as we will see, can be dangerous. Suppose we wish to limit the current to 1.0 mA. For each of the above cases, what is the maximum voltage that could be employed?

Measuring Body Fat

Slide 22-14

Wednesday

• 22: 5-6 Ohm’s Law and Power

Wednesday’s Homework

• 22: 13, 14, 16, 17, 18, 19, 21, 27, 40, 41, WB 22: 5-7