Resistance of 40Ω, inductance of 0.4Hz and capacitance of 200µF are connected in series and are fed by 200v, 60Hz supply. Find;

CIRCUIT THEOREM EEC 222

A resistance of 40Ω, inductance of 0.4Hz and capacitance of 200µF are connected in series and are fed by 200v, 60Hz supply. Find;

1. Inductance Reactance, X_L
2. Capacitance Reactance, X_C
3. Magnitude of impedance, Z of the RLC Circuit
4. Magnitude of admittance, Y of the RLC circuit

SOLUTION

R = 40 Ω, L = O.4H, Capacitance = 200 × 10^-6F, Frequency = 60Hz, Voltage = 200v.

1.  Inductance Reactance, X_L

X_L  = WL = 2ΠF × L   ;      2 × 3.142 × 60 × 0.4

                                      =150.816 Ω

1. Capacitance Reactance, X_C

X_{C =} 1/W_c = 1/2ΠF × C _{= 13.33}Ω

1. Magnitude of impedance, Z of the RLC Circuit

Z =

Z =

Z =  = 143.187Ω

1. Magnitude of admittance, Y of the RLC circuit

Y =   _{=   =}  ^-3 Ω