In the circuit of the figure, for what value of R will the ideal battery transfe

Question

In the circuit of the figure, for what value of R will the ideal battery transfer energy to the resistors at a rate of 59.0 W? (Note, if you want an open circuit or R = infinity, put R = 1..0 times 10^6 ohm, ) R1 = 8.0 ohm, R2 = 30.0 ohm and R3 = 4.00 ohm. ________ In the circuit of the figure, for what value of R, will the ideal battery transfer energy to the resistors at the maximum possible rate? ____________ In the circuit of the figure, for what value of R will the ideal battery transfer energy to the resistors at the minimum possible rate? _____________ What is the maximum possible rate? _______________ What is the minimum possible rate? ____________________

Explanation / Answer

let RT be the total resistance then

power transfered 50w = 242/RT

RT = 11.52

R1 =8

1/R +1/4 +1/30 = 1(11.52-8.0) = 1/3.52

1/R = 1/3.52 - (17/60)

R = 1320 ohm

for R =0

total resistance RT = 8

maximum pwoer transfered = 242/8 = 72w

minimum rate is whe R is infinity or 1.0e+6 ohm then

total resistance = 8 + 1/(1/4+1/30)

power transefered = 242 /11.53 = 49.96 w

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