Question

A series circuit consisted of R= 150 Ω, L= 120 mH , C= 4700 µF is connected to an alternative voltage of V rms = 12 V and frequency of 60 Hz.

Find the following quantities in questions a thorough I. You are required to show the formula with the correct symbols - substitute- calculate- answer and the unit for each question.

HINT: The first one has been done as an example of how you need to do the problem

a) Angular frequency (ω)

ω = 2 π f = 2 π * 60 = 377 rad/s

b) Capacitive Reactance ( X_C)

c) Impedance (Z)

d) rms electric current in the circuit (I rms )

e) Voltage across the resister. V_R

f) Voltage across the inductor. VL

g) Voltage across the capacitor. V

h) Maximum voltage across the circuit V _m ?

i) Maximum electric current in the circuit I _m ?

j) Phase difference (φ) between the total current in the circuit and the voltage a across the circuit.

k) Resonance frequency of the circuit.

Answer 1