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- The 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_forwardCan you please help with this question? The triangular voltage pulse shown below is applied to a 200 mF capacitor. a) Write the expressions thatdescribe vc(t) in the five time intervals t < 0, 0 ≤ t ≤ 2 , 2 ≤ t ≤ 6, 6 ≤ t ≤ 8, and t > 8. b) Derive theexpressions for the capacitor current, power, and energy for the time intervals in part (a).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_forward
- The current in and the voltage across a 5 H inductor are known to be zero for t≤0. The voltage across the inductor is given by the graph shown for t≥0. 1. Derive the expression for the current as a function of time in the intervals 0≤t≤1 s, 1 s≤t≤3 s, 3 s≤t≤5 s, 5 s≤t≤6 s, and 6 s≤t<∞. 2. For t>0, what is the current in the inductor when the voltage is zero? 3. Sketch i versus t for 0≤t<∞.arrow_forwardA capacitor consists of two round plates, each of radius r = 5 cm. The gap between the plates is d = 5 mm. The capacity is given by where S is the surface area, d is the gap between plates, o is the permittivity of free space, and = 1 for air. (a) Determine the maximum charge qmax of the capacitor, in coulombs, if the breakdown potential of the air is Vmax = 10 kV. (b) Find the capacitor energy in both the International (SI) and the English Engineering (EE) systems (see Chapter 21 for a description of these systems).arrow_forwardGiven the circuit below with the switch closed for a long time, then opening at t=0, and with the values R1=129KΩ, R2=128KΩ, R3=103KΩ, calculate the time constant, τ, for the capacitor voltage solution for at t >0.arrow_forward
- 1. 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_forwarda.)If the current through a 1-mH inductor is i(t) = 20 cos 100t mA, find the terminal voltage and the energy stored. b.)The terminal voltage of a 2-H inductor is v = 10(1 – t ) V. Find the current flowing through it at t = 4 s and the energy stored in it at t = 4 s. Assume i(0)=2A.arrow_forward* Determine the charge stored on a 2.2 µF capacitor if the capacitor’s voltage is 5 V. *In some integrated circuits, the insulator or dielectric is silicon dioxide, which has a relative permittivity of 4. If a square capacitor measuring 10 µm on edge, has a capacitance of 100 fF, what is the separation distance between the capacitor’s plates, in µm?arrow_forward
- The 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_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 voltage as a function of time.arrow_forwardThe switch in the circuit in Fig. 2 has been in the left position for a long time. At t=0 it moves tothe right position and stays there.a. Write the expression for the capacitor voltage ?(?), for ? ≥ 0.b. Write the expression for the current through the 50 kΩ resistor, ?(?), for ? ≥ 0+arrow_forward
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