[PHYS] Example Question: A sinusoidal voltage Δv = 37.5 sin(100t), where Δv is in volts and t is in seconds, is applied to a series RLC circuit with L = 170 mH, C = 99.0 µF, and R = 74.0 Ω.

Example Question

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# Question

A sinusoidal voltage Δv = 37.5 sin(100t), where Δv is in volts and t is in seconds, is applied to a series RLC circuit with L = 170 mH, C = 99.0 µF, and R = 74.0 Ω.

 

What is the impedance (in Ω) of the circuit?

What is the maximum current (in A)?

Determine the numerical value for 𝜔 (in rad/s) in the equation i = Imax sin(𝜔t − 𝜑).

Determine the numerical value for 𝜑 (in rad) in the equation i = Imax sin(𝜔t − 𝜑).

For what value of the inductance (in H) in the circuit would the current lag the voltage by the same angle 𝜑 as that found in part (d)?

What would be the maximum current (in A) in the circuit in this case?

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# Explanation

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