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# 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, XL
2. Capacitance Reactance, XC
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, XL

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

=150.816 Ω

1. Capacitance Reactance, XC

XC = 1/Wc = 1/2ΠF × C = 13.33Ω

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

YOU CAN DO IT

### Oluwamuyide Peter

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