Question

A charge 'q' is moving in a circular path of radius 'r' with uniform speed 'v'. The magnetic moment associated with the charged particle is ____________.

विकल्प

• `(2"q")/"vr"`

• 2pvr

• `(2"v")/"qr"`

• `"qvr"/2`

Answer 1

A charge 'q' is moving in a circular path of radius 'r' with uniform speed 'v'. The magnetic moment associated with the charged particle is `"qvr"/2`.

Explanation:

Magnetic moment m = IA

`"I" = "q"/"t" = "e"/((2pi"r")/"v") = "eV"/(2pi"r")`

`"A" = pi"r"^2`

`"M" = "eV"/(2pi"r") xx pi"r"^2`

` = "evr"/2`