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- A resistance of 100 Ω, an inductance of 0.1 H, and a capacitance of 5(10−5) F are connected in series.If the total electromotive force is given by 110 sin 377t, such that at t = 0,Q = 0, and i = 0, find thecurrent for t > 0.arrow_forwardThe two series-connected capacitors shown are connected to the terminals of a black box at t=0. The resulting current i(t) for t>0 is known to be 20e−t μA. a. Replace the original capacitors with an equivalent capacitor and find vo(t) for t≥0. b. Find v1(t) for t≥0. c. Find v2(t) for t≥0. d. How much energy is delivered to the black box in the time interval 0≤t<∞? e. How much energy was initially stored in the series capacitors? f. How much energy is trapped in the ideal capacitors? g. Show that the solutions for v1 and v2 agree with the answer obtained in (f).arrow_forward1. Theoretically calculate the voltage across the capacitor in the circuit of Figure 1 when t = 0 s, 5 s, 10 s, 20 s, 30 s, 40 s, and 60 s, assuming that the circuit is under DC conditions when t < 0 s and the switch is opened at t = 0 s. 2. Compare the calculated voltage at t = 20 s with the experimentally measured ∆?.arrow_forward
- In response to a change introduced by a switch at t = 0, the current flowing through a 100 μF capacitor, defined in accordance with the passive sign convention, was observed to be i(t) = −0.4e−0.5t mA (for t > 0). If the final energy stored in the capacitor (at t = ∞) is 0.2 mJ, determine υ(t) for t ≥ 0.arrow_forwardTwo capacitors, of capacitance 3µF and 5µF, are connected as shown to batteries A and B which have EMF 4 V and 12 V respectively. What is the energy stored in each of the capacitors? Calculate also the stored energy in each capacitor when the terminals of battery A are reversed, and when the battery B is disconnected, and the points X and Y are connected together.arrow_forwardThe current (I) flowing in a circuit containing a capacitor that is discharging changes with time (t) according to the equation:I = Io e-t/(CR)A circuit contains a capacitor of 30 x 10-6 F in series with a resistance of 4.7 x 10 5 Ω. If the initial current is 3.5A , calculate the current after 15 s.arrow_forward
- The two parallel inductors shown are connected across the terminals of a black box at t=0. The resulting voltage v for t>0 is known to be 12e−t V. It is also known that i1(0)=2 A and i2(0)=4 A. a. Replace the original inductors with an equivalent inductor and find i(t) for t≥0. b. Find i1(t) for t≥0. c. Find i2(t) for t≥0. d. How much energy is delivered to the black box in the time interval 0≤t<∞? e. How much energy was initially stored in the parallel inductors? f. How much energy is trapped in the ideal inductors? g. Show that your solutions for i1 and i2 agree with the answer obtained in (f).arrow_forwardWrite a small essay about discharging capacitor then: For the circuit shown, the switch was open for a long time, then it is closed at t=0. Find Vc(t) for t>0. *arrow_forwardThe 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 current as a function of time.arrow_forward
- A 100-pF capacitor is constructed of parallel plates of metal, each having a width W anda length L. The plates are separated by air with a distance d. Assume that L and W are bothmuch larger than d. What is the new capacitance ifa. both L and W are doubled and the other parameters are unchanged?b. the separation d is doubled and the other parameters are unchanged from their initialvalues? c. the air dielectric is replaced with oil having a relative dielectric constant of 25 and theother parameters are unchanged from their initial values ?arrow_forwardThe initial values of i1 and i2 in the circuit shown are + 3 A and −5 A, respectively. The voltage at the terminals of the parallel inductors for t≥0 is −30e−5t mV. 1. a) If the parallel inductors are replaced by a single inductor, what is its inductance? 2. b) Find the initial current and its reference direction in the equivalent inductor. 3. c) Use the equivalent inductor to find i(t). 4. d) Find i1(t) and i2(t). Verify that the solutions for i1(t), i2(t), and i(t) satisfy Kirchhoff’s current lawarrow_forwardAn RC circuit with a capacitance of 1E-1 farad, and a resistance of 2Ω, has an EMF of E(t)=4cos(t) volts applied to it. a. Find the charge on the capacitor, q(t), with q(0)=6/13, and the subsequenct current, I(t). Solve the problem mathamatically (DE) and try to restrain yourself from solving it using your physics knowledge.arrow_forward
- Delmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage Learning