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A particle having charge 100 times that of an electron is revolving in a circular path by radius 0.8 with one rotation per second. The magnetic field produced at the centre is -

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Question

A particle having charge 100 times that of an electron is revolving in a circular path by radius 0.8 with one rotation per second. The magnetic field produced at the centre is

Options

  • `10^-17  muo`

  • `10^-17 /(muo)`

  • `10^-10  muo`

  • `10^-15  muo`

MCQ

Solution

`10^-17 /(muo)`

Explanation:

Equivalent current i = qv

= `100e xx 1 = 100 xx 1.6 xx 10^-19` A

Induction of a magnetic field in the centre.

B = `(mu_0)/(4pir) - (2pini)/r`

`(mu_0)/2 = (1 xx 100 xx 1.6 xx 10^-19)/.08 = 10^-17  muo`

Induction of a magnetic field at the centre.

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