Question

Two similar cells, whether joined in series or in parallel, have the same current through an external resistance of 2 ohm . The internal resistance of each cell is

Answer 1

Answer:

Let ε, r be the emf and internal resistance of each cell. External R=1Ω.

When the two cells are connected in series

Total emf of cells =ε+ε=2ε

Total resistance of circuit =R+r+r=1+2r

Currnet in the circuit, I1=2ε1+2r

When the two cells are connseted in parallel

Effective emf of two cells = emf of single cell=ε

Total internal resistance of two cells

r×rr+r=r2

Total resistance of the circuit =R+r/2=1+r/2.

Current in the circuit, I2=ε1+r/2

As per question, I1=I2

So, 2ε1+2r=ε1+r/2=2ε2+r

or 1+2r=2+rorr=1Ω

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Explanation: