EE 202 Q4. a) Find the s-domain expression for Vo in the...

EE 202 Q4. a) Find the s-domain expression for $V_o$ in the circuit in figure. b) Use the s-domain expression derived in (a) to predict the initial- and final values of $v_o$. c) Find the time-domain expression for $v_o$. 7? +15u(t) mA 1 H 0.1 F

Transcript

00:01 Hello students, in this question given as a applied voltage is equal to 1 .875°.

00:08 So, this will be equal to the 1 .8 in bracket cos of 75 degree plus j sine of 75 degree.

00:21 So, after calculation we will get the voltage is 1 .7 minus 0 .7 j and the complex frequency is given as minus 2 plus 1 .5 j per second and the capacitance is given as 250 milli farad.

00:51 In the first part of the question we have to calculate the current in the frequency domain representation.

00:58 So, this is given as is is equal to in the frequency domain representation is equal to v by t, v by 2 and plus c capacitance as frequency v is the voltage.

01:12 Now we will v by 2.

01:15 Write here 0 .85 minus 0 .35 j plus the value of c is 20 .25 farad in bracket.

01:40 The value of s is minus 2 .1 .5 j and in another bracket the value of v voltage is 1 .7 minus 0 .7 j.

02:04 After calculation we will get current in the frequency domain is equal to 0 .25 plus 0 .65 j.

02:23 Now we have to write in another form.

02:26 We will write here the magnitude of this current will be is equal to under root 0 .25 whole square plus 0 .65 whole square.

02:39 Then we will get the amplitude magnitude of the current which is 0 .67 ampere and the angle is represent the sin theta and this is represent the cos theta.

02:52 So tan theta will be equal to the 0 .65 upon 0 .25...

Question

EE 202 Q4. a) Find the s-domain expression for $V_o$ in the circuit in figure. b) Use the s-domain expression derived in (a) to predict the initial- and final values of $v_o$. c) Find the time-domain expression for $v_o$. 7? +15u(t) mA 1 H 0.1 F

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