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A charge 'q' is circulating with constant speed 'V' in a semi-circular loop of wire of radius 'R'. The magnetic moment of this loop is ______. -

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Question

A charge 'q' is circulating with constant speed 'V' in a semi-circular loop of wire of radius 'R'. The magnetic moment of this loop is ______.

Options

  • `("qV"pi"R")/(2(pi + 2))`

  • qVR

  • `"qVR"/pi`

  • `"qVR"/(pi + 2)`

MCQ
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Solution

A charge 'q' is circulating with constant speed 'V' in a semi-circular loop of wire of radius 'R'. The magnetic moment of this loop is `underline(("qV"pi"R")/(2(pi + 2)))`.

Explanation:

`mu = "A i" = (pi"R"^2)/2 xx "q"/"t"`

t = `(pi"R" + 2"R")/"V" = ("R"(pi + 2))/"V"`

`= (pi"R"^2)/2 xx "qV"/((pi + 2)"R")`

`= ("qV"pi"R")/(2 (pi + 2))`

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Torque Acting on a Magnetic Dipole in a Uniform Magnetic Field
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