1.

(a) Derive a relation between the internal resistance, emf and terminal potential difference of a cell from which current I is drawn. Draw V vs I graph for the cell and explain its significance. (b) A voltmeter of resistance 988 Omega is connected across a cell of emf 2 V and internal resistance 2 Omega. Find the potential difference across the voltmeter and also across the terminals of the cell. Estimate the percentage error in the reading of the voltmeter.

Answer»

Solution :(a) Consider the circuit shown.

By Kirchhoff.s rules we have `E - IR - RI = 0`
`E-V - Ir = 0`
`E= V + Ir`
The V-I GRAPH is as shown.

Significance of Graph: To find emf and internal resistance of the cell.
(b) The diagram is as shown:

`V= E-Ir`
`998 XX I =2 -2I`
I= 0.002A
Therefore, `V= 0.002 xx 998 = 1.996V`
PERCENTAGE error `=(2-1.996)/(2) xx 100 = 0.2`%


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