Set up the circuit of Figure 4–32 and solve for currents for the voltage/resistance pair...

Set up the circuit of Figure 4–32 and solve for currents for the voltage/resistance pairs of Problem 1a, 1c, 1d, and 1e.

Reference: Problem 1:

1. a. For the circuit of Figure 4–2(a), show that halving the voltage halves the current.

b. For the circuit of Figure 4–3(a), show that halving the resistance doubles the current.

c. Are these results consistent with the verbal statement of Ohm’s law?

2. For each of the following, draw the circuit with values marked, then solve for the unknown.

a. A 10 000-milliohm resistor is connected to a 24-V battery. What is the resistor current?

b. How many volts are required to establish a current of 20 µA in a 100-kΩ resistor?

c. If 125 V is applied to a resistor and 5 mA results, what is the resistance?

3. For each circuit of Figure 4–7 determine the current, including its direction (i.e., the direction that the current arrow should point).

4. Verify all points on Figure 4–6 for R = 10 Ω.

Reference: Figure 4-2(A):

For a fixed resistance, current is directly proportional to voltage; thus, doubling the voltage as in (b) doubles the current, while tripling the voltage as in (c) triples the current, and so on.

Reference: Figure 4-3(A):

For a fixed voltage, current is inversely proportional to resistance; thus, doubling the resistance as in (b) halves the current, while tripling the resistance as in (c) results in one-third the current, and so on.

Reference: Figure 4-6:

Reference: Figure 4-7: