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Combination of Resistors

In the follow...

Question

In the following diagram, the Potential difference across $6 V$ cell is :

A

6 V

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B

5.6 V

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C

8.2 V

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D

8.4 V

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Solution

The correct option is D $8.4 V$
Applying Kirchoff's Voltage Law in the loop,

$2 I - 6 + 12 + 3 I = 0$
$⟹ 5 I = - 6$
$⟹ I = - 1.2 A$
P.D across 6V battery $= 6 - 2 I = 6 + 2.4 = 8.4 V$

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