N identical cells each of e.m.f E and internal resistance r...

n identical cells each of e.m.f $E$ and internal resistance $r$ are connected in series An external resistance $R$ is connected in series to this combination the current through $\mathrm{R}$ is. (A) $\{(\mathrm{nE}) /(\mathrm{R}+\mathrm{nr})\}$ (B) $\{(\mathrm{nE}) /(\mathrm{n} R+\mathrm{r})\}$ (C) $\{\mathrm{E} /(\mathrm{R}+\mathrm{nr})\}$ (D) $\{(\mathrm{nE}) /(\mathrm{R}+\mathrm{r})\}$

n identical cells each of e.m.f $E$ and internal resistance $r$ are connected in series An external resistance $R$ is connected in series to this combination the current through $\mathrm{R}$ is.
(A) $\{(\mathrm{nE}) /(\mathrm{R}+\mathrm{nr})\}$
(B) $\{(\mathrm{nE}) /(\mathrm{n} R+\mathrm{r})\}$
(C) $\{\mathrm{E} /(\mathrm{R}+\mathrm{nr})\}$
(D) $\{(\mathrm{nE}) /(\mathrm{R}+\mathrm{r})\}$

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Key Concepts

Ohm's Law in Series Circuits

Ohm's law states that the current in a circuit is equal to the voltage divided by the resistance. In the context of a series circuit, the total resistance is the sum of both internal and external resistances, and the total voltage is the sum of the individual cell EMFs, allowing the calculation of the circuit current.

Equivalent Internal Resistance

Each cell comes with its own internal resistance, and in a series configuration, these resistances add up to form a single aggregate internal resistance. This total internal resistance, when combined with any external resistances, influences the total resistance encountered by the current.

Series Connection

This concept refers to connecting circuit elements end-to-end so that there is only one path for the current flow. In a series circuit, individual voltage sources and resistances add directly, affecting the overall voltage supply and total resistance experienced by the current.

Equivalent EMF in Series

When multiple cells are connected in series, their individual electromotive forces (EMFs) add together. This means the effective voltage provided by the cells is the sum of the individual EMFs, which is crucial in determining the current flowing through the circuit.

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