A battery of emf having negligible internal resistance is connected in series with…

PHYSICS · Multi-part · CBSE · Physics · Electricity · Electricity

Problem

A battery of emf

24\,\text{V}

having negligible internal resistance is connected in series with three resistors

R_1 = 4\,\Omega

R_2 = 6\,\Omega

and

R_3 = 10\,\Omega

. (i) Derive an expression for the potential difference

V_2

across the resistor

R_2

in terms of the emf

E

and the three resistances. (ii) Hence calculate the numerical value of

V_2

for the given data. (iii) If the resistor

R_2

is replaced by a variable resistor

R_x

, obtain an expression for

R_x

so that the potential difference across it equals

0.60E

. Calculate

R_x

for the given values of

R_1

and

R_3

. (iv) For the value of

R_x

obtained in part (iii), find the current delivered by the source and the power dissipated in

R_x