Laboratory scientists have created the electric and magnetic fields shown in FIG
ID: 1476222 • Letter: L
Question
Laboratory scientists have created the electric and magnetic fields shown in FIGURE EX34.4.These fields are also seen by scientists that zoom past in a rocket traveling in the x-direction at 1.0*10^6 m/s. According to the rocket scientists, what angle does the electric field make with the axis of the rocket A rocket zooms past the earth at v=2.0*10^6 m/s. scientists on the rocket have created the electric and magnetic fields shown in FIGURE EX34.5. What are the fields measured by an earthbound scientist The magnetic field is uniform over each face of the box shown in FIGURE EX34.6. What are the magnetic field strength and direction on the front surfaceExplanation / Answer
velocity ,V = 1.0*106 = 106 i(cap) m/s ----------------------------in vector form
magnetic field,B = 0.50 k T
electric field ,E = E*cos45 (i) + E*sin 45(j) V/m
E_rocket = E + V*B ---------------1 ( V*B= cross product of V and B)
V*B = 1.0*106 (i) * 0.50 (k)
= 500 *103( -j)
= -500*103 (j)
from eq 1:
E_rocket = E*cos45(i) + E*sin45( j) - 500*103 (j)
= 106*cos 45 (i) + 106*sin45(j) - 500*103(j)
= 707.10*103 (i) + 207.1*103 (j)
tan@ = 207.1*103 / 707.10*103
@ = 16.32 degree
this is the angle that the electric field make with rocket.
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