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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 ____________.
Options
`(2"q")/"vr"`
2pvr
`(2"v")/"qr"`
`"qvr"/2`
MCQ
Fill in the Blanks
Solution
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`
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