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Q.

In given circuit resistances R1 and R2 and emfs ε1 and ε2, are known. The internal resistances of the cells can be ignored. For what value of the resistance R, the thermal power generated in it is maximum? And calculate the power also.

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a

R1+R2,ε1R2R2

b

R1R2R1+R2,ε1R2+ε2R1R1+R2214R

c

R1,ε1R2R2

d

R1+R2, zero

answer is B.

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Detailed Solution

Cells can be treated in parallel with internal resistances R1 and R2 withreq=R1R2R1+R2For max. power R=R1R2R1+R2Current I=ϵ1R1+c2R21R1+1R21R+req ∴ Max power =I2R=ε1R2+ε2R1R1+R2214R2×R

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