A proton moving with a constant velocity passes through a region of space without any change in its velocity. If $\vec{E}$ and $\vec{B}$ represent the electric and magnetic fields, respectively, then this region of space may have
$(i) E = 0, B = 0$ $(ii) E = 0, B \neq 0$
$(iii) E \neq 0, B = 0$ $(iv) E \neq 0, B \neq 0$

Question

A proton moving with a constant velocity passes through a region of space without any change in its velocity. If $\vec{E}$ and $\vec{B}$ represent the electric and magnetic fields, respectively, then this region of space may have

$(i) E = 0, B = 0$ $(ii) E = 0, B \neq 0$

$(iii) E \neq 0, B = 0$ $(iv) E \neq 0, B \neq 0$

Infinity Learn · Accepted Answer

Here the proton has no acceleration, so E $$=$$ B $$=$$ $$0$$. When E $$=$$ $$0$$ but B≠$$0$$, but parallel to the motion of proton, there will be no force acting. When E≠$$0$$ and B≠$$0$$ and E, B and motion of proton (v) are mutually perpendicular, there may be no net force. Forces due to E and B cancel each other.

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A proton moving with a constant velocity passes through a region of space without any change in its velocity. If E→ and B→ represent the electric and magnetic fields, respectively, then this region of space may havei E=0, B=0 ii E=0, B≠0iii E≠0, B=0 iv E≠0, B≠0

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