Grouping Of Cells - Practice Questions & MCQ

Quick Facts

Series and Parallel Grouping of cell is considered one of the most asked concept.
12 Questions around this concept.

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The figure shows three circuits I, II and III which are connected to a 3V battery. If the powers dissipated by the configurations I, II and III are P1, P2 and P3 respectively, then :

A

P1 > P2 > P3

B

P1 > P3 > P2

C

P2 > P1 > P3

D

P3 > P2 > P1

Concepts Covered - 1

Series and Parallel Grouping of cell

series grouping of cell:

In series grouping anode of one cell is connected to the cathode of other cells

$n-$ identical cells which are connected in series, then

Equivalent e.m.f of combination is
Equivalent internal resistance $r_{eq}=nr$
Main current / current from each cell $i=\frac{nE}{R+nr}$
Power dissipated in the external circuit is
Conditions for Maximum Power is $R=nr$
$P_{max}=n(\frac{E^{2}}{4r})$ when $nr<<R$

Parallel grouping of cell

In parallel grouping, all anodes are connected to one point and all cathode together at other points

For n cells connected in parallel

Equivalent e.m.f

Equivalent internal resistance

The main current is

The potential difference across the external resistance

$V=iR$

Current from each cell

The power dissipated in the circuit

Condition for Maximum Power

$R= \frac{r}{n}$

$P_{max}=n \left ( \frac{E^{2}}{4r} \right )$ when $r>>nR$

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Series and Parallel Grouping of cell

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