Mathematics

Mathematics

Problem

Two resistors, R1R_1 and R2R_2, are connected first in series and then in parallel to the same ideal battery of voltage VV. a. (i) Derive an expression for the power PsP_s supplied by the battery when the resistors are in series. b. (ii) Derive an expression for the power PpP_p supplied by the battery when the same resistors are connected in parallel. c. (iii) Hence obtain the ratio PpPs\dfrac{P_p}{P_s} in terms of R1R_1 and R2R_2. d. (iv) Evaluate this ratio when R1=2R2R_1 = 2R_2.

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