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At time t=0 an electron at the origin is subjected to a force that briefly accel

ID: 2077386 • Letter: A

Question

At time t=0 an electron at the origin is subjected to a force that briefly accelerates it in the -z direction, with an acceleration of 2e + 17 m/s^2. Before trying to answer the following questions, draw a clear diagram Location D is at m At what time is a radiative electric field first detected at location D? What is the direction of propagation of electromagnetic radiation that is detected at location D? What is the direction of the radiative electric field observed at location D? What is the magnitude of the radiative electric field observed at location D? What is the direction of the radiative magnetic field observed at location D? What is the magnitude of the radiative magnetic field observed at location D? At what time is a radiative electric field first detected at location H? What is the direction of propagation of electromagnetic radiation that is detected at location H? What is the direction of the radiative electric field observed at location H? What is the magnitude of the radiative electric field observed at location H? What is the direction of the radiative magnetic field observed at location H? What is the magnitude of the radiative magnetic field observed at location H?

Explanation / Answer

a) Time taken by the light to reach point D = r / c

= (26) / (3 * 108) = 8.67 * 10-8 s

d) Erad = [1 / 4 pi e0] [-q a / c2 r]

= (8.99 * 109 * 1.6 * 10-19 * 2 * 1017) / ((3 * 108)2 * 26))

= 1.23 * 10-10 V/m

e) Brad = Erad / c

= (1.23 * 10-10) / (3 * 108)

Brad= 4.1 * 10-19 T

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a) Time taken by the light to reach point H = r / c

= (14) / (3 * 108) = 4.67 * 10-8 s

d) Erad = [1 / 4 pi e0] [-q a / c2 r]

= (8.99 * 109 * 1.6 * 10-19 * 2 * 1017) / ((3 * 108)2 * 14))

= 2.28 * 10-10 V/m

e) Brad = Erad / c

= (2.28 * 10-10) / (3 * 108)

Brad= 7.61 * 10-19 T