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Use KVL to find resistance R if L=0.5 Henry, E=40 V, i=0 when t=0, i=2A when...
Please do the problem if you can do ALL parts. t-0 a SW1 SW2 0.5 Ω 2 1Ω V. R3 20 A T v(t) 0.5 F 0.5 H 0 Find the initial current i(0) through the inductor and the initial voltage v(0) across the capacitor at t 0. b. Write a node equation at node a fort2 0. c. Represent v(t) as a function of i(t) on the series connection of R2 and L. Find dv(t)/dt. Derive a second-order differential...
R t = i(t) C 2011P E e p gP a P9.09 10ed The voltage applied to this circuit at t 0 (when the switch closes) is v (t) = 75 cos (4,000t - 60°) Volts Also given that R = 400 2 (0hm) and L=75 mH (milli Henry) The initial inductor current is zero for t< 0 The textbook gives you the total response equation as: )_ ?(0-¢)so R2+(w L) Cos(wt+¢-e) -V V m i(t)=itransient(t)+isteady.state(t)=R2 +(wL m - ㅎCOS...
Find the charge on the capacitor in an LRC-series circuit at t = 0.04 s when L = 0.05 h, R = 2 Ω, C = 0.04 f, E(t) = 0 V, q(0) = 6 C, and i(0) = 0 A. (Round your answer to four decimal places.) C Determine the first time at which the charge on the capacitor is equal to zero. (Round your answer to four decimal places.) s
Please provide every step in the procedure.Thanks V (t) Inductor (L) esistor (R) Let L = 0.1 H, Rı-8Q, R2-100, and V(t) = 120 V. Find the currents on the resistors as a function of time after the switch s is closed. You may use the following system and assume (O) 20)0: , di Lat + R14 = V(t) di where i = i1 + i2. Express the system in terms of the currents i1 and i2 and solve it...
Find the the current I(t) in an LRC series circuit, using the given initial current and the charge on the capacitor, when L =0.02H, R =2ohms, c=0.001F, E(t)=150volts, Q(0)=5c and I(0)=0A. Please show each step with any explanation. Thanks
An LR circuit includes a resistor of resistance R, an inductor of inductance L and a battery of emf E = 10 V. At time t = 0 the current in the circuit is I = 0. At time t = 6.1 ms the current is I = 0.66 A. Assume R = 100ohms, find L.
2. A capacitor of capacitance 330 uF is connected in series with a resistance R and a 4.5 V battery via a switch. At t0, the switch is closed charging the capacitor. Figure below shows difference (AV) in the circuit as a function of time. 0.8 (a) Determine the value of R used in the circuit. 0.6 s 0.4 0.2 0.0 10.0 20.0 30.0 Time (ms) (b) Determine the energy stored in the capacitor at t 2. 3. For the...
1) RC Circuits: (15 pts) (a) Use Kirchhoff's voltage law (KVL) to obtain an ordinary differential equation (ODE) describing the charge vs. time function (t) for a capacitor in the discharging RC circuit shown below. Assume that at time t = 0 (right before the switch is closed) the voltage across the capacitor is V = V.. R R W W V. с v(t) с t = 0 t> 0 Fig. 1. Fully charged RC circuit Fig. 2. Discharging RC...
use MATLAB functions to solve this problem The current, i, in a series RLC circuit when the switch is closed at t 0 can be determined from the solution of the V 2nd-order ODE to v t-0 d2i ndi 1 where R, L, and c are the resistance of the resistor, the inductance of the inductor, and the capacitance of the capacitor, respectively. (a) Solve the equation for i in terms of L, R, C, and t, assuming that at...
6: In the circuit shown in Figure-6, input voltage of 15V de was switched ON at t-o. (a) Convert the circuit its Laplace equivalent at t >0, if ILO)-2A and vc (0)-6V. b) Find the capacitor voltage, Ve (s) in the frequency domain (c) Solve Ve (t) in the time domain. Switch L= 5H t-o 15V (0 ) = 2A V (o =6V 0.1F 6: In the circuit shown in Figure-6, input voltage of 15V de was switched ON at...