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Grouping Of Cells - Practice Questions & MCQ

Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main

Quick Facts

  • Series and Parallel Grouping of cell is considered one of the most asked concept.

  • 27 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 :

 

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 E_{eq}=nE

  • Equivalent internal resistance r_{eq}=nr

  • Main current / current from each cell i=\frac{nE}{R+nr}

  • Power dissipated in the external circuit is \left(\frac{n E}{R+n r}\right)^{2} \cdot R 

  • 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  E_{eq}=E

Equivalent internal resistance R_{e q}=\frac{r}{n}

The main current is

i=\frac{E}{R+\frac{r}{n}}

The potential difference across the external resistance

V=iR

Current from each cell

i^{\prime}=\frac{i}{n}

The power dissipated in the circuit

P=\left(\frac{E}{R+\frac{r}{n}}\right)^{2} \cdot R

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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