Solution Found!
A source with emf ? and internal resistance r is connected
Chapter 25, Problem 86CP(choose chapter or problem)
Problem 86CP
A source with emf Ԑ and internal resistance r is connected to an external circuit (a) Show that the power output of the source is maximum when the current in the circuit is one-half the short-circuit current of the source. (b) If the external circuit consists of a resistance R, show that the power output is maximum when R = r and that the maximum power is Ԑ2/4r.
Questions & Answers
QUESTION:
Problem 86CP
A source with emf Ԑ and internal resistance r is connected to an external circuit (a) Show that the power output of the source is maximum when the current in the circuit is one-half the short-circuit current of the source. (b) If the external circuit consists of a resistance R, show that the power output is maximum when R = r and that the maximum power is Ԑ2/4r.
ANSWER:Solution 86CP
Step 1:
Introduction :
In this question, we need to show that power output is maximum when the current in the circuit is half the current short circuit current source
In the second part we need to show that if the external circuit consists of a resistance R, the power output is maximum when R=r and maximum power is
Data given
Emf of the system =
Internal resistance of the circuit
External resistance of the circuit =