An accelerated electron An electron is initially at rest. At time t 1 = 0 it is

Question

An accelerated electron
An electron is initially at rest. At time t1 = 0 it is accelerated upward with an acceleration of a = 1 1018 m/s2 for a very short time (this large acceleration is possible because the electron has a very small mass). We make observations at location A, x = 18 meters from the electron (see the figure).

(a) At time t2 = 8 ns (10-9 s), what is the magnitude and direction of the electric field at location A due to the electron?

(b) At what time t3 does the electric field at location A change?

(c) What is the direction of the electric field at location A at time t3?

(d) What is the magnitude of this electric field?

(not the same as part A)

(e) A positively charged particle was initially at rest at location A. It is released from rest just after time t3. Which of the following are true just after time t3? (Select all that apply.)

Explanation / Answer

a)    magnitude of the electric field    = 8.98 * 109 * 1.6 * 10-19 /182

                                                                                       =   4.43 * 10-12 N/C

Direction = towards left .

b)    time t3 does the electric field at location A change =   6 * 10-8 sec

c)    direction of the electric field at location A at time t3    =   upward .

d)    magnitude of this electric field =   5.89 * 10-10   N/C

e)    The positive charge begins to move because there is a force on it due to the radiative electric field.

        The electric force on the positive charge due to the radiative electric field is upward .

          There is a magnetic force to the right on the positive charge.

        The radiative magnetic field at location A is out of the page.

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