Part A Calculate the equivalent resistance of the circuit of the figure (Figure

Question

Part A

Calculate the equivalent resistance of the circuit of the figure (Figure 1) between x and y.

8.00

Correct

Part B

If a voltmeter is connected between points a and x when the current in the 8.0 resistor is 3.80 A in the direction from left to right in the figure, what will it read?

Part A

Calculate the equivalent resistance of the circuit of the figure (Figure 1) between x and y.

8.00

Correct

Part B

If a voltmeter is connected between points a and x when the current in the 8.0 resistor is 3.80 A in the direction from left to right in the figure, what will it read?

Explanation / Answer

B)

Voltage across 8 ohm = 3.80 x 8 = 30.4 volts

Current in each 16 ohm = Voltage across 16 ohm / 16 = Voltage across 8 ohm / 16 = 30.4 / 16 = 1.9 A

Current through 20 ohm = 3.80 + 1.9 + 1.9 = 7.6 A

Voltage across 20 ohm = 7.6 x 20 = 152 volts

Voltage across X and Y = 152 volts

combination of resistance of lower portion = R = 9 x 18 / (9 + 18)       + 6 = 6 + 6 = 12 ohm

current through lower portion = 152 / 12 = 12.67 A

Voltage across 6 ohm = 12.67 x 6 = 76.02 volts

remaining voltage across a and x = 152 - 76.02 = 75.98 volts

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