Question

The capacitive reactance in an RLC circuit is determined to be 50 Ω when the inductive reactance is 60 Ω.

Part A

Is the generator frequency ω higher or lower than the natural frequency ω0?

Part B

Is the phase angle ϕ positive or negative?

Part C

Calculate the phase angle ϕ if R=33Ω.

Answer 1

a)

since Xc > XL, so gerator frequency is less than natural frequency

========

b)

phase angle must be negative as the circuit is capacitive in nature

======

c)

phi = arctan (( XL - Xc) / R)

phi = arctan ( (50-60)/33) = arctan ( -10/33)

phi = - 16.86

=======

comment in case any doubt, will reply for sure.. goodluck