Question

In a ac circuit supply voltage and current are given as v=200sinwt and i=105 sin(wt-40), find the impedance in the circuit

Answer 1

Bandwidth=R÷L

Again,

Bandwidth= resonating frequency (fr)÷ Q factor.

Q=(1/R )× (L/C)^1/2

=1÷100 ×(8/0.5)^1/2

=40

Now,100/8=fr/40

=fr=(100×40)÷8=4000/8=500rad/s (ans.)

Answer 2

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Given:

Resistance of the resistor, R = 100 Ω

Supply voltage, V = 220 V

Frequency, ν = 50 Hz

(a) The rms value of current in the circuit is given as

I= (V/R)

= (220)/ (100)

= 2.20 A

(b) The net power consumed over a full cycle is given as:

P = VI

= 220 × 2.2 = 484 W