Question

You wired up this circuit in lab and measured the current through the 2-Ω resistor to
be 4 A. Unfortunately, the ammeter then broke before you could measure the current
through the other three resistors. Use Kirchoff’s Rules to determine the current in
each of the other three resistors.

1ohm
2ohm 3ohm
20v 4ohm 9v

Answer 1

Answer on Question #65741 – Physics / Electric Circuits | Complete

You wired up this circuit in lab and measured the current through the 2-Ω resistor to be 4 A. Unfortunately, the ammeter then broke before you could measure the current through the other three resistors. Use Kirchoff's Rules to determine the current in each of the other three resistors.

1ohm

2ohm 3ohm

20v 4ohm 9v

Solution.

1. Find voltage 2ohm resistor:

$$U_2 = I_2 * R_2;$$ $$U_2 = 4 * 2 = 8V;$$

2. Find current 4ohm resistor:

$$I_4 = \frac{U_4}{R_4} = \frac{E_1 - U_2}{R_4}; \quad I_4 = \frac{20 - 8}{4} = \frac{12}{4} = 3A;$$

3. Find current 3ohm resistor:

$$I_3 = \frac{U_3}{R_3}; \quad I_3 = \frac{9}{3} = 3A;$$

3. Find current 1ohm resistor:

$$I_1 = \frac{U_1}{R_1} = \frac{U_3 - U_2}{R_1}; \quad I_1 = \frac{9 - 8}{1} = \frac{1}{1} = 1A;$$

Answer

Current of 1ohm resistor is 1A;

Current of 2ohm resistor is 4A;

Current of 3ohm resistor is 3A;

Current of 4ohm resistor is 3A;

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