Chapter 20, Problem 18Q

If a moving charged particle is deflected sideways in some region of space, can we conclude for certain, that $\stackrel{\to }{B}\ne 0$ in that region? Explain.

To determine

Answer to Problem 18Q

The existence of magnetic field in some region of the space.

Solution:

Explanation of Solution

A moving charged particle is deflected sideways in some region of space even though the magnetic field zero.

If a moving charged particle is deflected sideways in some region of space, we cannot conclude that magnetic field is nonzero. This is because, a moving charged particle can be deflected sideways even by applying electric field perpendicular to the direction of velocity.

Conclusion:

Hence, we cannot conclude that magnetic field is nonzero.