First slide

Cell

Question

n cells of emfs E₁, E₂…………, E_n, and internal resistance r₁, r₂ ……………… r_n are in series to form closed circuit with zero external resistance. For each cell ratio of emf to internal resistance is K then current in circuit is:

Moderate

A

1/K
B

K
C

K²
D

1/K²

Solution

$i = \frac{ε_{1} + ε_{2} + \dots + ε_{n}}{r_{1} + r_{2} + \dots + r_{n}}$
$\frac{E}{r} = K$
$i = \frac{r_{1} K + r_{2} K + \dots + r_{n} K}{r_{1} + r_{2} + \dots + r_{n}} = K$
E = rK

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