Problem 5 In the given circuit the switch moves from position A to position B at time t = 0. Assuming that the circuit is in steady states before the switching operation c) What are the capacitor voltage and inductor current as a function of time for t> 0? 12Ω 60 12 0 5 H 16 0 A В t = 0 16 Ω 8 V 24 V 12 0 12Ω 0.05 F
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- A generator of constant voltage but of variable frequency is connected to a series RLC circuit. Gradually changing the frequency the current reaches a maximum, when the voltage across the inductor is U1. If the frequency is further increased the current decreases, but the voltage across the inductor still increases. Later the voltage across the coil reaches its maximum of U2 and then it decreases. Determine the ratio U2/U1in terms of R, L, and C.Calculate the current in an RLC circuit with resistances R=11 ohms, L=0.1 H, and C=10^-2 F that is linked to the source V(t)= 10sin 377t. Assume that the capacitor charge and current are both zero at time t=0.Can I get help with this homework question, please? In an RLC circuit, L = 0.1; H,; R = 0.6; Omega,; C = 0.4; F, and E (t) = 60; V. Find the charge at time t . Assume the initial charge on the capacitor is 0 C and the initial current is 7.25 A.
- *The switch shown in (Figure 1) has been open for a long time before closing at t = 0.* Pt A. Choose the correct expression for the capacitor voltage, v(t), for t≥0A 1-F capacitor and initially starts with vC(0) = 0V. (a) Determine iC(t) when vC(t) = x(t), where vC(t) has units of V. (b) Determine vC(t) when iC(t) = x(t), where iC(t) has units of A. Hint: don’t forget the initial conditions. Answer: (0, 4, −4, 0)A, 0V, (2t2−4t+2)V, (−2t2+12t−14)V, 4An L-R-C series circuit has R = 60.0 Ω, L = 0.800 H, and C = 3.00 x 10-4 F. The ac source has voltage amplitude 90.0 V and angular frequency 120 rad/s. (a) What is the maximum energy stored in the inductor? (b) When the energy stored in the inductor is a maximum, how much energy is stored in the capacitor? (c) What is the maximum energy stored in the capacitor?
- Find the steady state current in the RLC circuits when R=18ohm ,L=1H,C=12.5×10^-3F and E = 820 cos 10 t V.assume that initial charge and current are zero18 - If the rise time of a second order damped system is 0.16 s and its natural frequency is 10.4 rad / s, what is the damping ratio? calculate.A) 0.54B) 0.51C) 0.53D) 0.52E) 0.55The switch in the circuit shown in the given figure is closed at t = 0 and VS = 12 V, C = 130 μF, R1 = 6.1 kΩ, R2 = 8.9 kΩ, and L = 30 mH.
- The switch has been in position a for a long time when it is moved to position b at time t = 0. The values for the circuit are as follows:Ia = 0.250A, Ra = 44.0Ω, Rb = 37.0Ω, Rc = 24.0Ω, Rd = 20.0Ω, Re = 30.0Ω, Ve = 45.0V, C = 40.0μF. Recall that for a capacitor, i=C·dv/dt. (Hint: source transformations might help as well.) When the switch has been in position a for a long time, solve for the voltage across Rb, and the voltage across the capacitor. Solve for the voltage across the capacitor immediately after the switch is moved to position b at t = 0, and explain why. After the switch is moved to position b, solve for the time constant of the circuit. Solve for the voltage across the capacitor v(t) as a function of time, when t ≥ 0.A series circuit containing a 20 uF capacitor in series with a 0.5 mega ohm resistor is connected to a 45 V battery. a) determine the time constant of the circuit. Ans. TC = RC = ( 20x10 -6 )( 0.5 x 10 6 ) = 10 sec. b) find the time when the voltage across capacitor is 45 volts. VC = v ( 1 + e – t/RC ); t = infinite or at steady state.The circuit shown is at steady state before the switch closes. The inductor's value is L = 3.5 H. Determine iL(t) for t ≥ 0. Answer: (0.514 + 0.286e−4t) A