If the voltage waveform depicted in the Figure is applied across the terminals of a 1 µF capacitor, graph the resulting current. (b) Repeat part (a) if the capacitor is replaced with a 17.5 pF capacitor. v (V) 4 3 2 1 2 3 4 5 6 t(s)
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- A coil of 0.5 H inductance and 8 ohms resistance is connected in series with a capacitor across a 200 V, 50 Hz supply. If the current is in phase with the supply voltage, determine the capacitance of th the capacitor and the p.d. across its terminals. Answer: [20.26 µF, 3.928 k]A 30 μF capacitor is connected in parallel with a coil of inductance 50 mH andunknown resistance R across a 120 V, 50 Hz supply. If the circuit has an overallpower factor of unity, find (a) the value of R, (b) the current in the coil, and (c)the supply current.The current in a 20 mH inductor is known to be i=40 mA,t≤0; i=A1e−10,000t+A2e−40.000tA,t≥0. The voltage across the inductor (passive sign convention) is 28 V at t=0. 1. Find the expression for the voltage across the inductor for t>0. 2. Find the time, greater than zero, when the power at the terminals of the inductor is zero.
- In the series circuit of Fig, the source has voltage amplitude 20.0 V and angular frequency 5.40 x 103 rad/s, the inductance is 6.50 mH, the capacitance is 0.600 µF, and the impedance is 474 Ω. Find (a) the resistance, (b) the current amplitude, (c) the resistor voltage amplitude, (d) the inductor voltage amplitude, and (e) the capacitor voltage amplitudeGiven the capacitance of four capacitors Ca= 30 µF, Cb = 20 µF, Cc = 40 µF and Cd = 10 µF. If Cb and Cc are connected in parallel and the parallel combination is connected in series with Ca and the combination is further connected in parallel with Cd, calculate (a) the equivalent capacitance (b) the voltage across each capacitor if the circuit is supplied by 240 volts DC source (c) the charge on each capacitor.Given this network of capacitors: Assuming the dielectric of each capacitor is air and the network is connected to Vab = 30V supply, calculate thefollowing:
- Differential Equation: y′′+6y′+58y=0 describes a series inductor-capacitor-resistor circuit in electrical engineering.The voltage across the capacitor is y (volts). The independent variable is t(seconds). Boundary conditions at t=0 are: y = 6 volts and y′=8 volts/sec . Determine the capacitor voltage at t=0.40seconds . ans:118. Two coils of inductances 4 H and 6 H are connected in parallel. If their mutual inductance is 3 H. Calculate the equivalent inductance of the combination if mutual inductance assists and if mutual inductance opposes the self-inductance respectively.6 A capacitor is constructed with parallel metal plates, If the plate separation is 2 mm and the capacitance is given to 1 nano Farads, determine the area of the parallel plates of the device. Select one: a. 0.12 square meters b. 0.23 square meters c. 0.27 square meters d. 0.20 square meters
- 23. Calculate the reactance of a peterson coil suitable for 1 33kV, 3phase transmission system of which the capacitance to eart of each conductor is 3.2μFCOURSE: Electrical EngineeringSUBJECT: Electrical ApparatusINSTRUCTIONS:• Write the GIVEN with their respective symbols and units.• Do not skip the SOLUTIONS, do it step-by-step with their respective symbols and units• Round up to 3 three decimal places the FINAL ANSWERS and BOX it. PROBLEM:A capacitor in series with a 66 Ω resistor is connected to a 120 V, 60 Hz source. If the impedance of the circuit is 116 Ω, determine the size of the capacitor.1. Find the outer radius of a coaxial cable having a characteristic impedance of 12 and a dielectric constant of 0.06. The outer inner radius of this cable is 4 cm. 2. How much is the inductance of a coil of an instrument that induces 1000 V when its current changes at the rate of 50 mA in 2 µs