A 90-ohm resistor, a 32 mH inductor, and a 5 uF capacitor are connected in series across the terminals of a sinusoidal voltage source, vs = 125∠-60° V. If the angular velocity is ω = 5000 rad/s, find: a. The value of capacitance that yields a steady-state output current i with a phase angle of -105°. Express your answer in 2 decimals. b. The magnitude of the steady-state output current i. Express your answer in the nearest whole mA

A 90-ohm resistor, a 32 mH inductor, and a 5 uF capacitor are connected in series across the terminals of a sinusoidal voltage source, vs = 125∠-60° V. If the angular velocity is ω = 5000 rad/s, find: a. The value of capacitance that yields a steady-state output current i with a phase angle of -105°. Express your answer in 2 decimals. b. The magnitude of the steady-state output current i. Express your answer in the nearest whole mA

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter17: Resistive-inductive Series Circuits

Section: Chapter Questions

Problem 2PP: Assume that the voltage drop across the resistor, ER, is 78 V, that the voltage drop across the...

See similar textbooks

Similar questions

DISCRETE TIME GIVEN SYSTEM.Determine the poles and zeros of this system, and show how they relate to each other.The system is only marginally stable True False Find the frequency response of this system. ( NEED NEAT HANDWRITTEN SOLUTION ONLY OTHERWISE DOWNVOTE).
A 50ft transmission line is used for a microwave system. Aportion of the transmission line is found to have an inductanceof 0.5 mH, a capacitance of 1000 uF, 1000Ω resistance and 1uSconductance. Find the characteristic impedance of the trans lineassuming at Low frequency application.
characteristic impedance z0 = 50 ohms is a short-circuited coaxial (coaxial) cable with a length d = 0.3λ component is wanted to be made. Use Its frequency is f = 8 GHz. (a) Identify the component. (b) Find the impedance value of the component. (c) Find the parameter value of the component. lesson:electrical and electronical engineering
For the circuit shown below, the initial conditions are zero, Idc is a current source continuous and switch S is open at t = 0.a)Determine the equivalent impedance to the right of points a and b of the circuit, Z(s).b)Obtain the voltage between points a and b of the circuit in the frequency domain, V(s). Employ the initial and final value properties and calculate the values of v(0) and v(∞).c)Find the expression for v(t). Check that the values of v(0) and v(∞) agree with those calculated in the previous item.d)Obtain currents i1(t) and i2(t).
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
For the circuit shown below, the initial conditions are zero, Vdc is a voltage source continuous and switch S is closed at t = 0.a)Determine the equivalent impedance to the right of points a and b of the circuit, Z(s).b)Obtain the input current of the circuit in the frequency domain, I(s). employ the properties of the initial and final value and calculate the values of i(0) and i(∞).c)Find the expression for i(t). Check if the values of i(0) and i(∞) agree with those calculated in the previous item.d)Obtain voltages v1(t) and v2(t).
The current in the 20 mH inductor is 10 cos(10,000t + 30°)mA.Calculate (a) the inductive reactance; (b) the impedance of the inductor;(c) the phasor voltage V; and (d) the steady-state expression for v(t)
For the circuit shown below, determine:a)The expression of the input current of the circuit in the time and frequency domain, respectively, i(t) and I(s).b)The circuit impedance, Z(s) = V(s)/I(s).c)The stress expression, v(t).d)The currents in the resistor, iR(t), and in the capacitor, iC(t).e)Repeat items c and d if v(0) = – 5 V.
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.
4.b 1- Draw the SFG diagram 2- When8u(t)is applied as input, enter the steady-state value of the system into the solution field given below
Communication system Let's consider a communication system where four signals with different frequencies f1, f2, f3, and f4) are combined to form a single composite signal. The composite signal is represented by the equation: s(t) = 3 sin(500m (k, x t) + T/6) + 4 sin (10007 (kz × t) + T/4) + 2 sin(1500t (k3 X t) + T/3) + 5 sin(2000m(k. X t) + /2) Given the scaling factors: kg = 0.8, kz = 1.6, k3 = 2.4, and k4 = 3.2. Determine the fundamental frequency
In case the sound from the engine of a vehicle is modelled by the function y(t) = cos[ω(t + τ) + θ] where time delay=τ & phase=θ Determine the frequency & period of the signal u(t) whena)[ω, τ, θ] = [π/3, 1/2, π/2]b)[ω, τ, θ] = [3π/4, 1/2, π/4] N.b time should be in seconds & frequency in Hertz. c) y(t) = e-atu(t) for t≥0 & y(t) = 0 for t<0 where a>0 is a constant The function above defines the model of the decay of the vibration of a vehicle engine. i.Make a sketch of the signal y(t) & determime its fourier transform.