A proton is briefly the accelerated in the direction of the arrow labeled a in t

Question

A proton is briefly the accelerated in the direction of the arrow labeled a in the figure below. The vector r indicates the location of an observation location relative to the initial position of the photon. The vectors a_1 for this observation location is indicated on the diagram. (a) If theta is 22 degree, and the magnitude of the acceleration is 3.6 times 10^17 m/s^2, what is the magnitude of a_1? (b) What is the magnitude of the radiative electric field at the indicated observation location, if the magnitude of r is 0.013 m? (c) At the observation location, what is the direction of the radiative electric field? the same as the direction of a opposite to the direction of a the same as the direction of a_ opposite to the direction of a_ the same as the direction of r^+ opposite to the direction of r^+ into the page out of the page (d) At the observation location, what is the direct of the ordinary Coulomb electric field d to the proton? the same as the direction of a opposite to the direction of a the same as the direction of a_ opposite to the direction of a_ the same as the direction of r^+ opposite to the direction of r^+ into the page out of the page (e) At the observation location, what is the direction of the radiative magnetic field? the same as the direction of a opposite to the direct of a the same as the direction of a_ opposite to the direction of a_ the same as the direction of r^+ opposite to the direction of r^+ into the page out of the page.

Explanation / Answer

Given

proton is moving location is

   theta = 22 dgrees , acceleration a = 3.6*10^17 m/s2

a)magnitude of the a perpendicular is

   a perpendicular = a sin theta

           = 3.6*10^17sin22 = 1.3486*10^17 m/s2

b) Magnitude of radiative electric field is

   E_r = kq*a_pependicular / c^2*r

   c is speed of light and r is location, r= 0.013 m

   E_r = 9*10^9*1.6*10^-19*1.3486*10^17/((3*10^8)^2*0.013)

   E_r = 1.65982*10^-7 N/C

c) opposite to the direction of a_perpendicular

d)
direction of ordinary coulombd field is same as direction of r

e) the direction is out of the page

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