Fundamentals of Electromagnetics with Engineering Applications
1st Edition
ISBN: 9780470105757
Author: Stuart M. Wentworth
Publisher: Wiley, John & Sons, Incorporated
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Chapter 4, Problem 4.40P
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9 Inthe circuit of Figure P4.49,
i,(1) = 1, cos (wt +E
I, = 13 mA
C = 0.5 µF
w = 1,000 rad/s
a. State, using phasor notation, the source current.
b. Determine the impedance of the capacitor.
c. Using phasor notation only and showing all work,
determine the voltage across the capacitor,
including its polarity.
The voltage across an inductor plotted as a functionof time is shown in Figure P4.14. If L = 0.75 mH,determine the current through the inductor att = 15 μs.
You can solve the problem using Euler's formula to go from a polar (phasor) representation to a rectangular (real + imaginary) representation and then back to a polar (phasor) representation. The result is a rather complicated expression.....that doesn't mean it is wrong!
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Chapter 4 Solutions
Fundamentals of Electromagnetics with Engineering Applications
Ch. 4 - How long does it take for charge density to drop...Ch. 4 - At a particular point in a slab of silver, a...Ch. 4 - A current density is given by J=e.01taA/m2. Find...Ch. 4 - At t=0s, 60.0C is evenly distributed throughout a...Ch. 4 - A propagating electric field is given by...Ch. 4 - A 10.0-MHz magnetic field travels in a fluid for...Ch. 4 - Modify the simple wave program in MATLAB 4.1 to...Ch. 4 - Modify the traveling wave program in MATLAB 4.2 to...Ch. 4 - Prob. 4.9PCh. 4 - A bar magnet is dropped through a conductive ring....
Ch. 4 - Considering Figure 4.7, suppose the area of a...Ch. 4 - Sometimes a transformer is used as an impedance...Ch. 4 - Prob. 4.13PCh. 4 - The mean length around a nickel core of a...Ch. 4 - A triangular wire loop has its vertices at the...Ch. 4 - Referring to Figure 4.23, suppose a conductive bar...Ch. 4 - Suppose we have a conductive bar moving along a...Ch. 4 - The radius r of a perfectly conducting metal loop...Ch. 4 - Rederive Vemf for the rectangular loop of Figure...Ch. 4 - In Figure 4.16, replace the rectangular loop with...Ch. 4 - Prob. 4.21PCh. 4 - Prob. 4.22PCh. 4 - A Faraday disk generator is similar to the...Ch. 4 - Prob. 4.24PCh. 4 - Prob. 4.25PCh. 4 - Suppose a vector field is given by A=2cosaz Verify...Ch. 4 - A pair of 60cm2 area plates are separated by a...Ch. 4 - Plot the loss tangent of seawater ( =4S/m and r=81...Ch. 4 - A 1.0-m-long coaxial cable of inner conductor...Ch. 4 - Suppose in free space that E(z,t)=5.0e2ztaxV/m. Is...Ch. 4 - An electric field propagating in a lossless...Ch. 4 - A magnetic field propagating in free space is...Ch. 4 - Find the instantaneous expression for E for the...Ch. 4 - Given, at some point distant from a source at the...Ch. 4 - In a lossless, nonmagnetic media, the magnetic...Ch. 4 - Suppose, in a nonmagnetic medium of relative...Ch. 4 - Prob. 4.37PCh. 4 - Prob. 4.38PCh. 4 - Prob. 4.39PCh. 4 - Find E(z,t) in Problem 4.32 using phasors.Ch. 4 - Prob. 4.41PCh. 4 - Find H(y,t) in Problem 4.36 using phasors.Ch. 4 - In MATLAB 4.4, a polar plot of the phasor...
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- 4 Using phasor techniques, solve for the current in the circuit shown in Figure P4.54. 3H ww v:(t) = 12 cos 3t V 1/3 Farrow_forwardQUESTION 8 Consider the complex number show below. Z4 = 42 – 90° Convert Z4 to rectangular form and specify its real part in the box below.arrow_forwardWhen applying cosine as the base function for phasors, what part is used in Euler's identity?arrow_forward
- Solve the question and show solution.Note: Find the value of capacitor and draw the vector diagram of the impedance, power triangle and voltage triangle. The value of the inductor is 51.34 mHThanks!!!arrow_forwardIn your own terms, explain what is a phasor and show the relationshipbetween polar and rectangular forms of phasors.arrow_forward1- Explain why the phasor and the impedance have the same angle. 2- Compare the result for utilized different frequency in same circuit. 3- Give example to utilize the RLC circuit. 4- In general, how would the phasor diagram of Figure 4.1 change if the frequency was raised? 5- In general, how would the phasor diagram of Figure 4.4 change if the frequency was lowered?arrow_forward
- *P4.3. The initial voltage across the capacitor shown in Figure P4.3 is v C (0+ )=-10 V. Find an expression for the voltage across the capacitor as a function of time. Also, determine the time t0 at which the voltage crosses zero. R- 50 k , = 10 V Ic=0.04 aFarrow_forwardCould you solve the following as it is written and then do so again with a different given capacitance and an unknown load, please?arrow_forwardRepeat Problem P4.34 given i L ( 0− )=0 A.arrow_forward
- a. Find the equivalent impedance ZL shown inFigure P4.66(a), as seen by the source, if thefrequency is 377 rad/s.b. If we wanted the source to see the load ascompletely resistive, what value of capacitanceshould we place between the terminals a and b asshown in Figure P4.66(b)? Hint: Find an expressionfor the equivalent impedance ZL, and then find C sothat the phase angle of the impedance is zero.arrow_forwardDetermine the equivalent impedance seen by the sources vs in Figure P4.47 when: Using phasor form. Thank youarrow_forwardDescribe the sinusoidal waveform shown inFigure P4.44, using time-dependent and phasornotation.arrow_forward
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