Physics for Scientists and Engineers
Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 30, Problem 48P

(a)

To determine

The value of peak voltage.

(b)

To determine

The maximum voltage.

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The magnetic field in a plane electromagnetic wave is represented by the equation B = Bmax sin(ky - wt)î where Bmax = 2.94 x 10 T and k = 5.86 x 10' /m. (Assume a standard xyz right-handed coordinate system.) (a) What is the magnitude and direction of the electric field at the instant the magnetic field is a maximum? (Express your answer in vector form.) Emax - 88.2k V/m (b) What is the wavelength of the wave? 10.7 How is the wavelength of EM waves related to the wave number? nm (c) What is the frequency of the wave? 2.80E-15 How is the frequency related to the wavelength? Hz
(a) The magnetic field intensity H of an electromagnetic wave propagating in free space in the z-direction is described in phasor form by H = îH¸e¯i where B is its phase constant. Determine the corresponding electric field from Ampere's law. A long straight wire in air carries a current of 5 A. What is the magnetic field intensity H at a radial distance of 5 m from the wire? (b) A battery of open circuit voltage 2 V and internal resistance 50 2 is connected via a rapid switch to a transmission line of characteristic impedance 50 N terminated in a load of 100 N. Calculate the voltage and current on the line just after the switch is closed, explaining your answer carefully. (c)
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