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- 1.3 A coaxial cylindrical capacitor is to be designed with an effective length of 10 cm. The capacitor is expected to have a capacitance of 100 pF and to operate at 11 kV, 1000 kHz. Determine the required thickness if the required insulating material is Polytetrafluoroethylene (P.T.F.E.), &r= 2.0, Eb = 250 kV/cm. Allow a factor of safety of 4 and take to = 8.85x10-1² F/m.Calculate the velocity factor of a coaxial cable used as a transmission line with the characteristic impedance of 50 ohms; capacitance is 40 pF/m and an inductance equal to 50 microH/m.The voltage across the terminals of the 5μF capacitor is 30 cos (4000t + 25°) V. Calculate (a) the capacitive reactance; (b) the impedance of the capacitor; (c) the phasor current I; and (d) the steady-state expression for i (t). 5 μF + v i
- If a capacitor is part of the impedance Z, suggest the specifications (radii and length) of a cylindrical capacitor, which has to be installed in a space of 2.5 m3. Support your suggestion properly.Determine the quality factor for Maxwell's inductance capacitance bridge given below, when the bridge is supplied by a frequency of 50 Hz.27. A phasor can be represented or expressed in either rectangular form (x +j y) or polar form (z cis n) True False 28. By convention, values obtain from time domain representation are always real while in phasor domain representation, values are generally expressed in complex form. True False 31. Value of capacitance is usually affected by the following physical dimensions and construction of a capacitor: such as number of turns, its length, its cross-sectional area and the permeability of the core. True False
- Let Vs=530tᶾ v, leg t >0 and iL (0) = 1 A, in the circuit shown, at t=0.2s, determine the values of the energy stored in the capacitor and the coil. The circuit is in the attached image.A system has the following characteristic equation: s^4+ s^3+ 3s^2+ 2s + 2 = 0 Using the Routh-Hurwitz method, checka. How many roots are to the right of the imaginary axis?b. Is the system stable?.A circuit is constructed with an AC generator, a resistor, capacitor and inductor as shown. The generator voltage varies in time as ε =Va - Vb = εmsinωt, where εm = 120 V and ω = 726 radians/second. The values for the remaining circuit components are: R = 62 Ω, L = 95.6 mH, and C = 13.8μF. 4) What is t1, the first time after t = 0 when the voltage across the inductor is zero? 6) What is VC = Vd - Va, the voltage across the capacitor, at time t = 0? Note that VC is a signed number.
- 3. Write the equation for capacitor voltage, v(t)=V0e−t/τ, for t≥0The characteristic equation of a system is given as s3+25s2+10s+50=0. What is the number of the roots in the right half s-plane and the imaginary axis respectively?A 100 km telephone line has a series resistance of 4 Ω/km, an inductance of 3 mH/km, a leakage conductance of 1 μS/km, and shunt capacitance of 0.015 μF/km, at an angular frequency ω = 5000 rad/s. At the sending end, there is a generator supplying 100 0o V, at 5000 rad/s, in series with a resistance of 300 Ω. The load at the receiving end consists of a 200 Ω resistor. Find: The input impedance The sending-end current and voltage The current and voltage at the midpoint of the line