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Question

The current in a circuit containing a battery connected to 2 Ωresistance is 0.9 A. When a resistance of 7 Ωconnected to the same battery, the current observed in the circuit is 0.3 A. Then the internal resistance of the battery is

A
0.1Ω
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B
0.5Ω
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C
1Ω
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D
Zero
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Solution

The correct option is B 0.5Ω
case 1 :-
E=0.9(R+r)
E=0.9(2+r)
case 2:-
E=0.3(R+r)
E=0.3(7+r)
0.9(2+r)=0.3(7+r)
6+3r=7+r
2r=1
r=0.5Ω

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