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A non-ideal battery with a fixed internal resistance ~ delivers power to a load resistor of variable resistance R according to the following equation: PL
A non-ideal battery with a fixed internal resistance ~ delivers power to a load resistor of variable resistance R according to the following equation: PL = (r+R)' where: PL = power delivered to the load resistor c = battery voltage Note: you don't need to understand anything about resistors, (non-ideal) batteries, what a load resistor is, or anything about circuits at all in order to solve this problem. Take the derivative of Pr with respect to R using the product rule (not the quotient rule), treating all other quantities as constants. Answer A dR PL = (2 (r+ R)-2 - 262 R(r + R)-1 Answer B: " dR = ( R(r + R) -2 + 26' R(r + R)-3 dPL - (TR) -(R' (2(7+ R) ) Answer C: - dR (r+R) Answer Di dR. APL = (2(r+ R)-2 - 262 R(r + R)-3 Answer E: - dPL. (( TR) +ER' (2(r-R)) dR (r+R)' OC O A OB OD OE
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