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MMLU-Pro / 12164 / The forces experienced by a test charge q for three different velocities at a…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

The forces experienced by a test charge q for three different velocities at a point in a region characterized by electric and magnetic fields are given by F_1= q[E_0i_x + (E_0 - v_0B_0)i_y]forv_1= v_0i_x F_2= q[(E_0 + v_0B_0)i_x + E_0i_y]forv_2= v_0i_y- F_3= q[E_0i_x + E_0i_y]forv_3= v_0i_z where v_0, E_0, and B_0 are constants. FindE and B at the point.

category

engineering

options

  1. E= E_0 (i_x +i_y), B= B_0i_z
  2. E= E_0(i_y - i_x), B= -B_0(i_y + i_z)
  3. E= E_0(i_x + 2i_y), B= B_0(i_y - i_z)
  4. E= -E_0 (i_x +i_y), B= B_0i_z
  5. E= 0, B= B_0(i_x + i_y + i_z)
  6. E= E_0 (i_x +i_y), B= -B_0i_z
  7. E= E_0 (i_x - i_y), B= B_0i_z
  8. E= E_0i_x, B= B_0(i_x + i_y)
  9. E= 2E_0(i_x + i_y), B= 0.5B_0i_z
  10. E= -E_0i_y, B= B_0(i_x - i_z)

src

stemez-Electromagnetics

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Source and history

upstream_id / Original problem ID
12164
task_id
2b01f809-201e-5764-897e-fac1c3cab97f
task_key
default--test--12164
task_revision_id
1
config / split
default / test

Official source

initial import