When junctions get Earthed!

Electricity and Magnetism Level 2

In the following circuit, the junctions A A and B B are grounded.
How much current will flow through the battery?

V R \dfrac{V}{R} V 2 R \dfrac{V}{2R} 2 V 3 R \dfrac{2V}{3R} 0 0

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Rohit Gupta by Rohit Gupta , 34, India

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1 solution

Rohit Gupta
Jan 18, 2017

The grounded junction has zero potential. Therefore, both the junction A A and B B have zero potential.

Also, if both the ends of a resistor have equal voltage, then according to the Ohm's law that resistor gets short circuited and no current flows through it.

Hence, no current will flow through the two resistors connected between junctions A A and B B . The current will flow as follows.

Hence, the current that flows through the battery will be V R \boxed{\dfrac{V}{R}} .

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