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- 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=%=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.Three capacitors having capacitance values of 20F,40F, and 50F are connected in parallel to a 60 - Hz power line. An ammeter indicates a circuit current of 8.6 amperes. How much current is flowing through the 40F capacitor?
- Suppose that we have two 100-μF capacitors. One is charged to an initial voltage of 50 V, and the other is charged to 100 V. If they are placed in series with the positive terminal of the first connected to the negative terminal of the second, determine the equivalent capacitance and its initial voltage. Now compute the total energy stored in the two capacitors. Compute the energy stored in the equivalent capacitance. Why is it less than the total energy stored in the original capacitors?The capacitor shown in the figure below is initially discharged. At t=0s the switch is moved to position B.Determine an expression for the voltage V across the capacitor for t≥0s.Suppose that we have a 1000-pF parallel-plate capacitor with air dielectric charged to 1000 V. The capacitor terminals are open circuited. Find the stored energy. If the plates are moved farther apart so that d is doubled, determine the new voltage on the capacitor and the new stored energy. Where did the extra energy come from?
- The current in a 100-mH inductor is i(t) = 2 sin377t A. Find a) the voltage across the inductor andb) the expression for the energy stored in the element.A 100-μF capacitor has a voltage given by v( t )=10−10 exp( −2t ) V. Find the power at t=0 and state whether the power flow is into or out of the capacitor. Repeat for t 2 =0.5 s.An RC circuit has an emf of 100 volts, a resistance of 5 ohms, a capacitance of 0.02 farad, and an initial charge on the capacitor of 5 coulombs. Find (a) an expression for the charge on the capacitor at any time t and (b) the current in the circuit at any time t.
- The current shown is applied to a 250 nF capacitor. The initial voltage on the capacitor is zero. 1. Find the charge on the capacitor at t=30 μs. 2. Find the voltage on the capacitor at t=50 μs. 3.How much energy is stored in the capacitor by this current?A large capacitor of 1000 μF is charged by a steady current of 1 mA until it reaches a voltage of100 V. At that voltage, the charging circuit is disconnected. a) Calculate how long the charging takes. b) A 10 kΩ resistor is connected across the capacitor to discharge it. Sketch a graph of the current I in the resistor as a function of time, with appropriate numbers and units marked on the axes.The capacitor voltage can be expressed as: vC=q/C, where q is the time-dependent charge in the capacitor. Derive the expression for q in terms of time t. Explain the behavior of the capacitor charge with time as the capacitor charges.