3. Write the equation for capacitor voltage, v(t)=V0e−t/τ, for t≥0
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3. Write the equation for capacitor voltage, v(t)=V0e−t/τ, for t≥0
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- A 20μF capacitor is subjected to a voltage pulse having a duration of 1 s. The pulse is described by the following equations: vc(t)={30t2 V,0≤t≤0.5 s;30(t−1)2 V,0.5 s≤t≤1 s;0elsewhere. Sketch the current pulse that exists in the capacitor during the 1 s interval.Calculate initial conditions for inductor current and capacitor voltage in circuit presented in Fig. 8.3. Assume: L=1H, C=0.5F, R=1Ω, e(t) = 10 2 sin(t + 45 ) V, i(t) = 2sin(t − 45 ) A.If the roots of the characteristic equation are -3,0 then the system is _________________________. Marginally stable Conditionally stable Stable Unstable
- For t < 0, the capacitor in the given figure is completely discharged. Assume that the switch is thrown at t = 0. Let VS = 15 V, R = 200 Ω, L = 20 mH, and C = 0.1 μF.In the series circuit of Fig, the source has voltage amplitude 20.0 V and angular frequency 5.40 x 103 rad/s, the inductance is 6.50 mH, the capacitance is 0.600 µF, and the impedance is 474 Ω. Find (a) the resistance, (b) the current amplitude, (c) the resistor voltage amplitude, (d) the inductor voltage amplitude, and (e) the capacitor voltage amplitudeFor the circuit shown, determine the energy stored in the inductor. The component values are VS = 11 V, R1 = 9 Ω, R2 = 4 Ω, R3 = 8 Ω, C = 0.161 F, L = 0.01
- The circuit elements in the circuit L=50 mH, and C=0.2 μF. The initial inductor current is−45 mA and the initial capacitor voltage is 15 V.4. The resistance is increased to 312.5 Ω. Find the expression for v(t) for t≥0.2. 7.22 The switch in the circuit has been in the left positionfor a long time. At t=0 it moves to the right position and stays there. 1. a) Write the expression for the capacitor voltage, v(t), for t≥0H5. An RCL circuit connected in series has R = 180 ohms, C = 1/280 farad, L = 20 henries, and an applied voltage E(t) = 10 sin t. Assuming no initial charge on the capacitor, but an initial current of 1 ampere at t = 0 when the voltage is first applied, find the subsequent charge on the capacitor at t=0.5. Use 4 decimal places.
- A series RLC circuit having a resistance of 8 ohm, inductance of 50 mH and capacitance of 90 µF is connected across a 150 V, 50 Hz supply. Calculate (1) the current (2) the power factorA 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 tThe 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 i