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In the given circuit, an ideal voltmeter...

In the given circuit, an ideal voltmeter connected across the `10 Omega` resistance reads 2 V.The internal resistance r, of each cell is :
a) 1Ω b) 0.5Ω c) 1.5Ω d) 0Ω

Text Solution

Verified by Experts

The correct Answer is:
0.5
Current thorugh battery
`i=(1.5 + 1.5)/((15 xx 10)/(15+10) + 2 + 2r) therefore` Current through `10 Omega` resistor.
`i_(10 Omega) =15/(15 + 10) xx I = 3/5 xx i` `therefore` voltage across `10 Omega` resistor `=(3/5 i) xx 10 =2` (Given)
`rArr 3/5 xx (3 xx 10)/(6+2 + 2r) =2 rArr (8+2t) =90/10 =9 rArr r=1/2 = 0.5 Omega`
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