What Is the Effective Current in an RLC Circuit with Given Parameters?

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An RLC circuit with an effective AC voltage of 170 V at 60 Hz consists of a 20.7 mH inductor, a 0.162 μF capacitor, and a 55.1-ohm resistor in series. To find the effective current, the formula I(rms) = I/sqrt(2) and I = emf/Z are used, with Z representing the impedance. The power factor is calculated using the formula power factor = R/Z. The discussion highlights the initial confusion about the formulas needed to solve the problem, but a helpful link was provided to clarify the concepts. Ultimately, the user was able to understand the calculations needed for the effective current, power factor, and power consumed in the circuit.
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Homework Statement



An effective AC voltage of 170 V at 60 Hz
is applied to an RLC circuit with 20.7 mH
inductor, 0.162 μF capacitor, and 55.1
resistor in series.


a) What is the effective current? Answer in
units of A.

b)What is the power factor of the circuit?

c) What is the power consumed in the circuit?
Answer in units of W.

Homework Equations



a) I(rms) = I/sqrt (2), I= emf/Z
b) power factor = R/Z



The Attempt at a Solution




im totally lost i know that those are the related equations but i have difficulties in solving .. since i don't understand this chapter well

need your help please
 
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thanx i got it now
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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