Two resistors

MATHEMATICS · Multi-part · ISC · Physics · Current Electricity · Electrical energy and power

Problem

Two resistors,

R_1

and

R_2

, are connected first in series and then in parallel to the same ideal battery of voltage

V

. (i) Derive an expression for the power

P_s

supplied by the battery when the resistors are in series. (ii) Derive an expression for the power

P_p

supplied by the battery when the same resistors are connected in parallel. (iii) Hence obtain the ratio

\dfrac{P_p}{P_s}

in terms of

R_1

and

R_2

. (iv) Evaluate this ratio when

R_1 = 2R_2