An uncharged capacitor C=5 µF is connected in a circuit as shown. The switch S is closed at t=0. Find the voltage (in V) across the capacitor 6 s after closing the switch. C-5 µF 2 MQ 2 MN E = 20 V O 14.0 O 9.0 O 6.6 O 15.1 O 11.0
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- You are an electrician working in an industrial plant. You discover that the problem with a certain machine is a defective capacitor. The capacitor is connected to a 240-volt AC circuit. The information on the capacitor reveals that it has a capacitance value of 10 mF and a voltage rating of 240 VAC. The only 10-mF AC capacitor in the storeroom is marked with a voltage rating of 350 WVDC. Can this capacitor be used to replace the defective capacitor? Explain your answer.An AC circuit contains a 24 resistor, a 15.9-mH inductor, and a 13.3F capacitor connected in parallel. The circuit is connected to a 240-V, 400-Hz power supply. Find the following values. XL=XC=IR=AIL=AIC=AP=WVARsL=VARsC=IT=AVA=PF=%=At t = 0, the switch S is closed and the capacitors are uncharged. Find the charge stored on capacitor C2 in steady state (t -> infinity). R1 = 2R, R2 = 2R, R3 = 3R, R4 = 2R, R5 = 3R, C1 = 6, C2 = 6.
- To measure the capacitance C of a capacitor, you attach the capacitor to a battery and wait until it is fully charged. You then disconnect the capacitor from the battery and let it discharge through a resistor of resistance RR. You measure the time T1/2 that it takes the voltage across the resistor to decrease to half its initial value at the instant that the connection to the capacitor is first completed. You repeat this for several different resistors. You plot the data as T1/2 versus R and find that they lie close to a straight line that has slope 9.00 μF. What is the capacitance C of the capacitor?The input to the circuit shown in the figure below is the voltage V(t) = 4e-20 t V for t > 0 The output is the current i(t) = -1.2e-20t V for t > 0 The initial inductor current is iL(0) = -3.5 A. Find the values of inductance L and resistance R. Please answer in typing format solution pleaseSuppose that at t=0, we connect an uncharged 10{μF capacitor to a charging circuitconsisting of a 2500-V voltage source in series with a 2{MΩ resistance. At t=40s, the capacitoris disconnected from the charging circuit and connected in parallel with a 5{MΩ resistor.Determine the voltage across the capacitor at t=40 s and at t=100 s. (Hint: You may find itconvenient to redefine the time variable to be t′=t−40 for the discharge interval so that thedischarge starts at t′=0.)
- 9. 7.92. b) Suppose the inductor you chose in part (a) has an initial currentof 10 mA. Write an expression for the current through the inductorfor t≥0.A 10 mH inductor, a 1 μF capacitor, and a variable resistor areconnected in parallel in the circuit shown. The resistor is adjusted so thatthe roots of the characteristic equation are −8000±j6000 rad/s. Theinitial voltage on the capacitor is 10 V, and the initial current in theinductor is 80 mA. Find1. R;2. dv(0+)/dt;3. B1 and B2 in the solution for v; and4. iL(t).A 100V electromotive force is applied to an RC-series circuit in which the resistance is 200 ohms and the capacitance is 10-4 F. Find the charge q(t) on the capacitor if q(0) =0. Find the current i(t).
- GENERAL RLC CIRCUITS: Solve and show your solution completely. Make sure your answers are in 4 decimals places. What capacitance must be placed in series with an inductance of 0.05 henry so that at 100 Hz,the impedance becomes equal to the ohmic resistance?For the figure, the circuit has reached steady state with the switch closed. Now the switch opens. a) Determine the time constant of the de-energized circuit.b) Determine the equation for the inductor current.c) Find the inductor current at time t = 17.8 µS.An RLC series circuit contains an unknown capacitor, an inductor with an inductance of 40 mH, and a resistor with a value of 16 Ω. The circuit is connected to a 240-V, 60-Hz line. If a current of 8 A flows in the circuit, determine the value ofthe unknown capacitor? Show your work. a) 2.575 uF b) 25.75 uF c) 257.5 uF d) 2575 uF