Part A through D please and thank you An external resistor with resistance R is connected to a battery that has emf e and internal resistance r. Let P be the electrical power output of the source. By conservation of energy, P is equal to the power consumed by R. a) What is the value of P in the limit that R is very small? Express your answer in terms of some or all of the variables R, r, and e .b) What is the value of P in the limit that R is very large? Express your answer in terms of some or all of the variables R, r, and e .c) What is the maximum P?d) A battery has e = 94.0 V and r = 4.00 Ω. What is the power output of this battery when it is connected to a resistor R = 2.00 Ω?

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Part A through D please and thank you

An external resistor with resistance R is connected to a battery that has emf e and internal resistance r. Let P be the electrical power output of the source. By conservation of energy, P is equal to the power consumed by R.
a) What is the value of P in the limit that R is very small? Express your answer in terms of some or all of the variables R, r, and e .
b) What is the value of P in the limit that R is very large? Express your answer in terms of some or all of the variables R, r, and e .
c) What is the maximum P?
d) A battery has e = 94.0 V and r = 4.00 Ω. What is the power output of this battery when it is connected to a resistor R = 2.00 Ω?

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