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Question

Question: Consider the circuit shown in the figure....

Consider the circuit shown in the figure.

A

The current in the 5 Ω resistor is 2A

B

The current in the 5 Ω resistor is 1A

C

The potential difference VA - Ve is 8V

D

The potential difference VA-VB is -5V

Answer

The potential difference VA - Ve is 8V

Explanation

Solution

We interpret the circuit diagram and apply nodal analysis. We set the potential at the positive terminal of the battery to 28V and the negative terminal to 0V. We write down the current conservation equations at nodes A, B, and C, assuming the connections as interpreted from the diagram. We solve the system of linear equations for the potentials at A, B, and C. We find that the potential difference VAVBV_A - V_B is 8V.