Question

A charged particle of charge q and mass m is placed at a distance 2R from the center of a vertical cylindrical region of radius R where the magnetic field varies as $\vec{B}=(4t^2-2t+6)k$, where t is time. Then which of the following statement(s) is/are true?

• A. Induced electric field lines from closed loops
• B. The Electric field varies linearly with r if r< R, where r is the radial distance from the centerline of the cylinder.
• C. The charged particle will move in a clockwise direction when viewed from the top.
• D. Acceleration of the charged particle is $\frac{7q}{2m}$ when t=2 sec.

Answer 1

Answer: (A), (B), (C)

Induced electric field lines from closed loops

Answer 2

The correct answer is/are option(s):
(A): Induced electric field lines from closed loops
(B): The Electric field varies linearly with r if r< R, where r is the radial distance from the centerline of the cylinder.
(C): The charged particle will move in a clockwise direction when viewed from the top.