1. In the circuit to the right, the switch has been open for a long time...
The switch in the following circuit has been open for a long time and is closed at t=0. Find the constants A, B, a, ß and w in the expression of the current il(t) through the inductor L fort > 0. Is = 3A IL (t) = Aeat + Beßt coswt A Vil(t) ŽR=150 L=15 H Cap t= 0 < (Limit your answer to 3 decimal places) (5 Marks) (5 Marks) (5 Marks) (5 Marks) (5 Marks) 0 3
Consider the circuit depicted in Fig. 2. The switch SW1 has been closed for a long time before it is opened at time t = 0. The switch SW2 has been open for a long time before it is closed att = 0.1 (sec). i) Find the initial current I(0) flowing in the inductor and the initial voltage V(0) across the capacitor. ii) Find the voltage V(t) across the capacitor and the current I(t) through the inductor for 0 ≤ t ≤...
do not use s domain method ,use only differential equation 3. In the circuit shown, switch 1 has been closed for a long time before it is opened at t 0, and switch 2 has been opened for a long time before it is closed at t = 0. SW2 sw, 0.5Ω R2 1(2 A, 20 A i(t) 0.5 H a. Find the initial voltage v(O)- Vo across the capacitor and initial current through the inductor (0) lo at t...
7. Given the circuit below. The switch has been opened for a very long time. At t = 0, we close the switch. M 2007 M 100 av ile & 5mH a. What will be the initial current of the inductor at I.(t = 0)? (before switch is closed)? Why? b. What will be the final current of the inductor 1, (t +00)? (after switch has been closed for a long time) Why? C. Find the first order linear differential...
1. (25 points) The switch has been open for a long time and at time t-0, it is closed. Find the inductor current i(t) for t> 0. 120 40 ZA 3.5H
The switch in the circuit below has been open for a long time, It is closed at time t=0 Give the value of decor the rate of change of the current at t=0t, 347A 360 = 1F SY
After the switch in the circuit of Fig. P 7.35 has been open for a long time, it is closed at t=0. Calculate (a) the initial value of i; (b) the final value of i; (c) the time constant for t≥0; and (d) the numerical expression for i(t) when t≥0.
AP 7.8 The switch in the circuit have been open for a long time. The initial charge on the capacitor is 0. At t=0, switch is closed. Find the expression for i(t), v(t) for t> 0+. 0.1 µF X1%3D0% i(1) 7.5 mA( v(t) 20 k2 30 kn
For the next set of questions, consider the following circuit. The switch has been open for a long time. At t=0, it is closed. t=0 11 R1 3 1 3 C c IL R2 3 V = Assume the following values: 11=5mA 12=10mA R1=2K R2=2k L1=10mH C1 = luF Find the following: a) 11(0), the initial current through the inductor (in mA): b) The final current thru the inductor after the switch has been closed for a long time (in...
The switch in the circuit has been closed for a long time and is opened at t = 0. a. Calculate the initial value of I b. Calculate the initial energy stored in the inductor. c. What is the time constant of the circuit for t ≥ 0? d. What is the numerical expression for i() for t20? e. What percentage of the initial energy stored has been dissipated in the 4 Ω resistor 5ms after the switch has been opened?