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The current density inside a long solid cylindrical wire of radius a is in the direction of central axis and varies linearly with the distance from that axis r according to J=J0 r/a. Find the magnetic field inside the wire, both in the form of B(r) and also numerically at r=0.5 cm, assuming J0=1A/m2 and a is 1 cm. Hint: solving this problem seems to require integration.
Design a buck converter that has an output of 12 V from an input of 18 V. The output power is 10 W. The output voltage ripple must be no more than 100 mV p-p. Specify the duty ratio, switching frequency, and inductor and capacitor values.
An input signal of 10V at 0o is applied to a parallel RLC circuit with resistor R = 100 , inductive reactance XL = 100 , and capacitive reactance XC = 200 . All three components are connected in parallel to the source. what is The source current.
with general block diagrams, show how to obtain the following frequencies from a 10 MHz clock by using single flip-flop, modulus-5 counters, and decade counters for 5MHz 2.5MHZ 2MHz 1MHz 500kHz 250 kHz 62.5 kHz 40 kHz 10 kHz 1 kHz
An RLC circuit has an initial voltage across the capacitor and polarity as marked on the circuit shown below. The switch is closed at t = 0 and a current i(t) is assumed to flow clockwise in the circuit.
a) What are the FIVE requirements for synchronizing the alternator tot he grid b) What should happen once the synchronous alternator is synchronized At that very instant, what should happen if the above five conditions are met
(a) find the value of a and K so that the relative damping ratio of the system is 0.5 and the rise time step response is approximately 1 s. (b) with the values of a and k found in previous question
(1) After writing the equations for mesh analysis, what parameters will be calculated How can the results be used to determine the branch currents (2) When working with Thevenin's, list the steps for solving for Vth and Rth.
A1. An amplifier has cutoff frequencies of 120.0 Hz and 1.200 kHz. Calculate the bandwidth and center frequency of the amplifier. A2. The upper cutoff frequency of an amplifier is 8.000 MHz and its center frequency is 1 MHz.
Consider a magnetic dipole carrying a current I. a. Calculate the magnetic flux density B at a point P specified in spherical coordinates. Express the answer in terms of the magnetic dipole moment m. Justify all the assumptions adopted.
A voltage divder is required to produce a 5.5V output from 12V source. If one of the resistor values is 1.0k, what value is required for the second resistor so that the voltage across the 1.0k resistor is 5.5V
Calculate the inductance of a solenoid with 125 turns if the length of the solenoid is 18 cm and its radius is 1.6 cm
Write a MATLAB program than can find and plot the pendulum angle as a function of time given an initial swing angle f=f/2. Using the plot command of MATLAB, display and animate a pendulum swinging based on the described conditions.
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