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AC Circuits
8. For the circuit shown,
10 N
a.
What is the resonance frequency in Hz?
(10 V) cos wt
10 mH
10 μ
b.
What is the circuit's peak current at resonance?
If the inductance is doubled, what is the new resonance frequency in Hz?
c.
d. If instead of (c), the resistance is tripled, what is the new resonance frequency?
e. The peak current for this circuit at any frequency w is given by:
I =
R? + (X, — Х)2
Explain mathematically why this peak current is maxed out only when driven at the resonance frequency

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AC Circuits 8. For the circuit shown, 10 Ω а. What is the resonance frequency in Hz? (10 V) cos wt 10 mH 10 μF b. What is the circuit's peak current at resonance? с. If the inductance is doubled, what is the new resonance frequency in Hz? d. If instead of (c), the resistance is tripled, what is the new resonance frequency? e. The peak current for this circuit at any frequency w is given by: I = R² + (X1 – X.)² Explain mathematically why this peak current is maxed out only when driven at the resonance frequency HH