Question

(A) Find an impedance, Z, of an RLC ciruits containing R = 2 , L =...

(A) Find an impedance, Z, of an RLC ciruits containing R = 2 , L = 1 mH, and C = 1 F elements connected in series with with the voltage source E = E0 sin( Dt), where D is the driving frequency. (B) Find the expression for the current I. Plot the current amplitude I0 vs. D and show that it is maximum for D = 1/(LC). We call this maximum a resonance (C) Consider the case with no capacitance. Plot the current amplitude I0 vs. D. Does it pass through a resonance?
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Answer #1

The Impedance can be given as

Current will be

Plotting the impedance against D, The current will be maximum when impedance will be minimum which is 2. The corresponding value of D will be

Now theoretically

hence theoretical and experimental value matches.

Plot without the capacitor.

No, the graph does not pass through the resonance point.

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