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  • A hypothetical magnetic fields existing in a region is given by  <img alt="\overline{\mathrm{B}}=\mathrm{B}_0 \hat{\mathrm{e}}_{\mathrm{r}}" src="https://entrancecorner.oncodecogs.com/gif

A hypothetical magnetic fields existing in a region is given by  \overline{\mathrm{B}}=\mathrm{B}_0 \hat{\mathrm{e}}_{\mathrm{r}}  where \hat{\mathrm{e}}_{\mathrm{r}}  denotes the unit vector along the radial direction. A circular loop of radius ' a ' carrying a current I, is placed with its plane parallel to the x-y plane and the centre at (0,0, d). The magnitude of the magnetic force acting on the loop is

Option: 1

\frac{2 \pi \mathrm{adiB}}{\mathrm{a}+\mathrm{d}}


Option: 2

\frac{2 \pi \mathrm{adiB}_0}{\sqrt{\mathrm{a}^2+\mathrm{d}^2}}


Option: 3

\frac{\pi \mathrm{a}^2 \mathrm{iB}_0}{\sqrt{\mathrm{a}^2+\mathrm{d}^2}}


Option: 4

\frac{2 \pi \mathrm{a}^2 \mathrm{iB}}{\sqrt{\mathrm{a}^2+\mathrm{d}^2}}


Answers (1)

best_answer

\mathrm{i} \times 2 \pi \mathrm{a} \times \mathrm{B}_{\circ} \frac{\mathrm{d}}{\sqrt{\mathrm{a}^2+\mathrm{d}^2}} \text { (vertical component) }

Posted by

avinash.dongre

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