The frequency will the AC source deliver a power of 250 W
.
Answer to Problem 33.81CP
Explanation of Solution
Given info: The rms potential difference of an AC source is
Formula to calculate the rms current in the circuit is,
Here,
Write the expression for the power deliver to the circuit.
Substitute
Rearrange the equation for
Formula to calculate the impedance of the circuit is,
Here,
Substitute
Substitute
Assume
Substitute
Substitute
Simplify the equation more,
Solve for first equation,
Since the angular frequency is a positive quantity. So, equation can be rewrite as,
Solve the quadratic equation.
Substitute
Formula to calculate the frequency is,
Substitute
Solve for second equation,
Since the angular frequency is a positive quantity. So, equation can be rewrite as,
Solve the quadratic equation.
Substitute
Formula to calculate the frequency is,
Substitute
Since the value of frequency comes out to be two that means the circuit deliver the given power two times one is below resonance and another one is above resonance.
Conclusion:
Therefore, there are two values of frequencies at which the AC source deliver a power of
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Chapter 33 Solutions
Physics for Scientists and Engineers, Technology Update, Hybrid Edition (with Enhanced WebAssign Multi-Term LOE Printed Access Card for Physics)
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