1 if the terminal voltage of a circuit is 100 sint 50 sin3t...

If the terminal voltage of a circuit is 100 sin(ωt) + 50 sin(3ωt + 45°) and the current is 10 sin(ωt + 60°) + 5 sin(ωt), calculate the reactive power drawn by the circuit. A voltage given by v = 200 sin(314t) + 520 sin(942t + 45°) is applied to a circuit consisting of a resistance of 20Ω, an inductance of 20 mH, and a capacitance of 56.3μF all connected in series. Calculate the rms values of the applied voltage and current. Find also the power factor of the circuit.

Transcript

00:01 As per the question we are given with the value of v is equal to 100 sine omega t plus 50 sine 3 omega t plus 45 degree.

00:17 This is the value of voltage.

00:21 Similarly, i is equal to 10 sine omega t plus 60 degree plus 5 sine omega t.

00:36 This is the value of current given to us in the question.

00:41 Now we are asked to find the reactive power which is denoted by q in an ac that is alternating alternating current circuit alternating current circuit.

01:04 Reactive power will be equal to q is equal to v root mean square multiplied by i root mean square multiplied by sine theta final minus theta initial.

01:24 Now this is the formula for reactive power.

01:27 We first need to find i rms then r rms both of these root mean square values.

01:36 So let's find them first.

01:40 R ms of voltage that is v root mean square.

01:48 So for given components of v, r ms will be equal to under root 100 whole square plus 50 whole square.

02:03 This will give us under root 10 ,000 plus 2 ,500.

02:13 This will be equal to under root 1 ,2500 that is 12 ,500 which gives us the value of v rms is equal to 111 .8 111 .8 the value of root mean square of voltage root mean square voltage.

02:37 Now to find the phase difference that is theta final minus theta initial.

02:46 These are the reference we would be taking here reference of angle of voltage waveform waveform according to which we have theta final is equal to zero degree because reference angle is not provided.

03:10 Reference angle in the voltage waveform is not provided.

03:17 So the final would be zero...

Question

Please give Ace some feedback