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Question: The reading of a high resistance voltmeter when a cell is connected across it is 2.2 V. When the ter...

The reading of a high resistance voltmeter when a cell is connected across it is 2.2 V. When the terminals of the cell are also connected to a resistance of 5Ω5 \Omega the voltmeter reading drops to 1.8 V. Find the internal resistance of the cell

A

1.2Ω1.2 \Omega

B

1.3Ω1.3 \Omega

C

1.1Ω1.1 \Omega

D

1.4Ω1.4 \Omega

Answer

1.1Ω1.1 \Omega

Explanation

Solution

E=2.2E = 2.2 volt R=5RR = 5 R

r=(EV1)R=(2.21.81)×5=1.1Ωr = \left( \frac { E } { V } - 1 \right) R = \left( \frac { 2.2 } { 1.8 } - 1 \right) \times 5 = 1.1 \Omega