Q.

A cell dissipates the same power across each of two resistors R1 and R2 when connected separately. The internal resistance of cell is

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a

R1+R2

b

R1+R22

c

R12+R22

d

R1R2

answer is D.

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Detailed Solution

eR1+r2R1=eR2+r2R2R1R22+r2+2R2r=R2R12+r2+2R1rR1R22+R1r2+2R1R2r=R2R12+R2r2+2R1R2rR1-R2r2=R1R2R1-R2r=R1R2
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A cell dissipates the same power across each of two resistors R1 and R2 when connected separately. The internal resistance of cell is