1) Quality factor of series tuned resonant circuit. 2) Size of the capacitor for a series tuned LC circuit.

1 ) A series-tuned resonant circuit operates at a resonant frequency of 1 MHz and contains a 0.1 microfarad capacitor and a 300 microfarad inductor with 20 ohms resistance. Calculate the circuit 's quality factor and bandwidth at its resonant frequency. 2) A series-tuned LC circuit with a resonant frequency of 2KHz and a 2 mH inductor has to be designed : what size capacitor should be installed ?

What is the voltage as a function of time, if the initial voltage is zero?

The current flowing through a 5 F capacitor is i=3e^-2t. What is the voltage as a function of time, if the initial voltage is zero? The voltage across a 2F capacitor is v = 20e^-4t volts. What is the instantaneous power?

What current flows through the capacitor?

Please see the attached file for full problem description. 1. The voltage across a 5 uF capacitor is v(t) = 10sin(377t) V. What current flows through the capacitor? 2. The current flowing through a 5 F capacitor i(t) = 5e^(-2t) A. Write down the voltage and plot it for seconds. The capacitor is initially uncharged. 3. A 1 F capacitor is charged to that the initial voltage across it is 1 V. If the current flowing through the capacitor is i(t) = 4e^(-3t) A, what is the voltage? 4. A 1 F capacitor is charged to that the initial voltage across it is 1 V. If the current flowing through the capacitor is i(t) = 4e^(-3t) A, what is the instantaneous power? 5. A 1 F capacitor is ch... click for more

Plot Power

For the circuit attached, plot the real power (watts) delivered to the load as the load is varied as indicated. Please use Matlab and include equations used to plot. Please send source code. A)Plot power vs RL as RL = 800 to 1200 in steps of 20 with XL =1000. B)Plot power vs XL as XL = 800 to 1200 in steps of 20 with RL = 1000. Circuit is attached.

A signal's Fourier transform

I have attached some problems that I think I am working correctly. I wanted to verify the concept is correct. A signal x(t) = exp(-t)*cos(3t) is turned on at t = 0. What is its Fourier transform? Consider the signal in problem 6. What is the Fourier transform of its derivative with respect to time? What is the Fourier transform of x = exp(-pi*16t^2)? What is the inverse Fourier transform of X = cos(f)? What is the inverse Fourier transform of X = cosh(f)?