A cell has an open circuit voltage V1 and a closed circuit voltage V2 when a current is flowing through it. Therefore, the internal resistance of the cell is

A.

\(\frac{V_2}{I}\)

B.

\(\frac{V_1}{I}\)

C.

\(\frac{(V_1 + V_2)}{I}\)

D.

\(\frac{(V_1 - V_2)}{I}\)

E.

\(\frac{(V_2 - V_1)}{I}\)

Correct answer is E

On open circuit, V1 = I; On closed circuit V2 = IR + Ir

V2 = V1 + Ir

r = \(\frac{(V_2 - V_1)}{I}\)