The expression for average power supplied.
Answer to Problem 58PQ
The expression for average power supplied is
Explanation of Solution
Write the expression for average power.
Here,
Write the expression for current to the circuit connected to an alternating source of emf.
Here,
Write the expression for emf in the circuit.
Here,
Write the expression for energy dissipated in time
Substitute
Substitute
Integrate the expression between the limits
Now,
Substitute,
The above expression can be rewritten as.
Also, rms value of current is given by.
Here,
And,
The rms value of emf is given by.
Here,
Substitute
Therefore, the expression for average power supplied is
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Chapter 33 Solutions
Physics for Scientists and Engineers: Foundations and Connections
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