A sereis circuit contains a 3.00 inductor, a 3.00 microfarad capacitor and a 30.

Question

A sereis circuit contains a 3.00 inductor, a 3.00 microfarad capacitor and a 30.0 ohm resister connected to a 120 V (rms) source of variable frequency. Suppose the L, C, and R values have been adjusted such that impedance is equal to resistance for his problem.  What is the resulting phase angle between voltage and current?

Question 5 options:

None of the answers are correct

0o

Same as before, as the phase is independent of the values of L, C and R.

45o

90o

None of the answers are correct

0o

Same as before, as the phase is independent of the values of L, C and R.

45o

90o

Explanation / Answer

Impedance of series RLC circuit is

       Z = sqrt ( R^2 + ( X_L - X_C)^2 )

At resonance frequency , inductive reactance is equal to the capacitive reactance. so,

          Z = R

The phase angle between voltage and current is

tan ( phi) = X_L -X_C / Z

Since X_L = X_C

phase angle

        phi = tan^ -1 ( 0)

              = 0 degrees.

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