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Q.

A cell sends a current through a resistance R for time t, next the same cell sends current through another resistance r for the same time t. If same amount of heat is developed in both the resistances, then the internal resistance of cell is :

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a

Rr2

b

R+r2

c

Rr2

d

Rr

answer is C.

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Detailed Solution

εR+x2R.t=εr+x2rt

where x is the internal resistance of the cell and ε is the emf of the cell.

solving for x we get x=Rr

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A cell sends a current through a resistance R for time t, next the same cell sends current through another resistance r for the same time t. If same amount of heat is developed in both the resistances, then the internal resistance of cell is :