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Question: In the circuit shown below, the voltmeter is of large resistance. The emf of the cell is ε. The read...

In the circuit shown below, the voltmeter is of large resistance. The emf of the cell is ε. The reading of the voltmeter is –

A

Zero

B

ε10\frac{\varepsilon}{10}

C

ε5\frac{\varepsilon}{5}

D

ε2\frac{\varepsilon}{2}

Answer

ε5\frac{\varepsilon}{5}

Explanation

Solution

VA – VB = ε4+6\frac{\varepsilon}{4 + 6} × 4 = 4ε10\frac{4\varepsilon}{10}

VA – VD = ε6+4\frac{\varepsilon}{6 + 4} × 6 = 6ε10\frac{6\varepsilon}{10}

VB – VD = ε5\frac{\varepsilon}{5}