2. If a voltage v(t) = 10 sin(2000nt + 45°) is applied to a) an inductor with L = 1.6 mH b) a capacitor with C= 1.583 µF; find i) the impedance ii) the phasor current and üi) the current in the time domain for cases a and b.
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- An electrical circuit has a very small resistance so it can be despised. The capacitor on the left was charged up to the voltage of Vo=10 volts and then, at time t=0, the switch S was closed. The capacity of the capacitors are C=60 µF, and the coil inductance is L=0.04 HI) Find the voltage on the left capacitor, at the instant V1=0.001 s.II) Find the voltage in the right capacitor, at the instant t=002 s.The voltage across the terminals of the 5μF capacitor is 30 cos (4000t + 25°) V. Calculate (a) the capacitive reactance; (b) the impedance of the capacitor; (c) the phasor current I; and (d) the steady-state expression for i (t). 5 μF + v iThe voltage pulse applied to the 100 mH inductor shown is 0 for t<0. and is given by the expression v(t)=20te−10t V for t>0. Also assume i=0 for t≤0. Sketch the voltage as a function of time.
- A series circuit has a capacitor of 1.5625x10^(-8)F a resistor of 2x10^4 ohms, and an inductor of 1H. If the initial charge on the capacitor is zero,. if a 12-volt battery is connected to the circuit and the circuit is closed at t=0, determine the charge on the capacitor at any time tA 30 μF capacitor is connected in parallel with a coil of inductance 50 mH andunknown resistance R across a 120 V, 50 Hz supply. If the circuit has an overallpower factor of unity, find (a) the value of R, (b) the current in the coil, and (c)the supply current.All capacitors were initially discharged. at t = 0, S1 is placed at position 1 and S2 is closed. During this phase, it has been determined that Eth and Rth seen by the equivalent capacitor are, respectively, 20 V and 6.0 kΩ. The time constant is 29 ms. At t = 15 ms, S1 is placed at position 2 and S2 is kept closed. Calculate the equivalent capacitor voltage vT at t = 15 ms. Enter your answer in V rounded to 2 decimal places. At t = 25 ms, S1 is kept at position 2 and S2 is opened. Data: R1 = 5 kΩ, R2 = 3 kΩ, R4 = 2 kΩ, R5 = 20 kΩ, R6 = 12.0 kΩ;
- Let Vs=530tᶾ v, leg t >0 and iL (0) = 1 A, in the circuit shown, at t=0.2s, determine the values of the energy stored in the capacitor and the coil. The circuit is in the attached image.The current in a 20 mH inductor is known to be i=40 mA,t≤0; i=A1e−10,000t+A2e−40.000tA,t≥0. The voltage across the inductor (passive sign convention) is 28 V at t=0. 1. Find the expression for the voltage across the inductor for t>0. 2. Find the time, greater than zero, when the power at the terminals of the inductor is zero.In the given circuit, consider M = 1 H. Determine the energy stored in the coupled inductors at t = 2 s. The energy stored in the coupled inductors is J