Switch S is closed in position a at time t = 0 for along of time in the below circuit, to being charging an initially uncharged capacitor of capacitance C = 4µF through a resistor of resistance R = 22240 and 11 V battery. After that the switch is closed in position b, the charge that the capacitor lost at the end of two time constants?
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- 4. In what form is the energy of a capacitor stored?A capacitor uses air as a dielectric and has a capacitance of 3 F. A dielectric material is inserted between the plates without changing the spacing, and the capacitance becomes 15 F. What is the dielectric constant of this material?You are working in an industrial plant. You have been instructed to double the capacitance connected to a machine. The markings on the capacitor, however, are not visible. The capacitor is connected to 560 volts and an ammeter indicates a current of 6 amperes flowing to the capacitor. What size capacitor should be connected in parallel with the existing capacitor? What is the minimum AC voltage rating of the new capacitor? What is the minimum DC voltage rating of the new capacitor? What is the minimum KVAR size that can be used in this installation?
- A capacitor is made from two flat parallel plates placed 2 mm apart, .and its capacitance at vacuum is 10-12- F , if 200 volt applied in between then a Dielectric material was entered and its Dielectric constant Is 49 , Calculate : a) the new value of capacitance after the entrance of the Dielectric b) what is the value of charge on Dielectric material surface c) the polarization p of the Dielectric material d) calculate the displacement and the field inside the DielectricA ceramic capacitor is to be constructed to have a capacitance of 0.01µF and to have a steady working potential of 2.5 kV maximum. Allowing a safe value of field stress of 10 MV/m, determine (a) the required thickness of the ceramic dielectric, (b) the area of plate required if the relative permittivity of the ceramic is 10, and (c) the maximum energy stored by the capacitor.All capacitors were initially discharged. at t = 0, S1 is placed at position 1 and S2 is closed. At t = 15 ms, S1 is placed at position 2 and S2 is kept closed. During this phase, it has been determined that the total resistance seen by the equivalent capacitor is 28 kΩ; and that vT = 10 V at t = 15 ms. Calculate the value of the current iT immediately after the switching occurred. Enter your answer in mA rounded to 2 decimal places. At t = 25 ms, S1 is kept at position 2 and S2 is opened. Data: R1 = 6.5 kΩ, R2 = 10 kΩ, R3 = 1.0 kΩ, R4 = 4 kΩ, R5 = 20 kΩ, R6 = 11.5 kΩ; C1 = 4.5 µF, C2 = 4.0 µF, C3 = 12 µF
- An initially uncharged parallel plate capacitor is connected to a circuit containing a battery with emf &=48 V and a resistor, R=2.2MΩ as shown in the figure to below. The capacitor whose plates have an area of A=6.9 mm2 are separated by a distance of d=3.5 mm and one third of the capacitor is filled with a dielectric material, κ1=3.2 and the rest (two thirds) is filled with another dielectric material, κ2=6.5. At t=0 the switch is closed 2.7 seconds after the switch is closed the electric. field within the first dielectric material (κ1) is observed to be 6×103 N/C. Find the potential difference across the capacitor at this instant (t=2.7 s) in terms of permitivity of free spaceϵ? Express your answer using zero decimal place.A capacitor with parallel plates, of area A and separation 2a, is connected to a potential difference ∆V. Then a conductive metal plate of area is introduced A / 2 and thickness a up to the middle of the capacitor (red in the figure). Finally it is introduced an insulating material of dielectric constant κ in the second half (blue in the figure), with equal area and thickness as conductive material. Find The capacity and accumulated energy when the capacitor is empty.Between the plates of a capacitor with an area of A = 40 cm², and distance between the plates of d = 30 cm, three dielectric materials are placed, as shown in the following figure. what is the equivalent capacitance of the capacitor with the three dielectric materials with permittivities ε1= 0.20 F / m, ε2=0.30 F / m, ε3= 0.40 F / m ? a) 3,7mF b) 6,7mF c) 9,7mF d)10mF e)none of the alternatives
- A paper dielectric plate capacitor is to be experimentally tested. The metal plates and the paper material between said plates are all 20 cm in radius and subjected to 10V dc in the test. How much is the capacitance does this capacitor have in picofarads (pF), if the paper material between plates used is 2 cm thick? Input answer in 4 decimal places and in pF. Note: Relative permittivity of the paper ( εr ) : 0.4225An RC circuit (see Figure 4) contains a resistor (10 ohms) anda capacitor (0.2 F) linked in series with an electromotiveforce E(t) = 10 sin 2πt.(a) Use a numerical solver to sketch the graph of thecharge on the capacitor versus time for each of theinitial conditions Q(0) = −1, −0.75, −0.5,..., 1 onthe time interval [0, 15]. What appears to happen toeach of the solutions with the passage of time? Explain what might be meant by a steady-state response.(b) What is the frequency of the emf? What appears to bethe frequency of the steady-state response? Hint: Recall that in the function f (t) = sin ωt, ω is called theangular frequency, the period is given by T = 2π/ω,and the frequency is the reciprocal of the period.Think of the frequency as the number of cycles persecond, a unit known as Hertz (Hz).5 Assume that you have been tasked with evaluating a new inductor. The inductor has a Q of 1454 at 50KHZ; a 0.1mm diameter, and is fabricated by wrapping a 10meter length copper wire wound around a magnetic core. Assume the following parameters for copper wire wound around a magnetic permeability of copper is 1. A. what is the inductance of the inductor? B. Assuming that the skin affect does not affect the Q at 50KHZ at all, determine the Q at 50MHZ.