Current $i$ is passed through a circular arc as shown in the diagram. If the radius of the circle is $R$,then the magnetic flux density at the centre $P$ will be:

  • A
    $\frac{{{\mu _0}i\alpha }}{{4\pi R}} \otimes $
  • B
    $\frac{{{\mu _0}i(2\pi - \alpha )}}{{4\pi R}} \otimes $
  • C
    $\frac{{{\mu _0}i\,\sin \,\alpha }}{{2\pi R}} \otimes $
  • D
    $\frac{{{\mu _0}i\,\sin \,\alpha }}{{4\pi R}} \otimes $

Explore More

Similar Questions

Calculate the magnetic field at point $M$ for the given current distribution.

The magnetic field at point $O$ for the given circuits is provided. Which of the following is correct?
$(i)$ $(ii)$ $(iii)$
$(A). \frac{\mu_0 i}{2r} \odot$ $(A). \frac{\mu_0}{2\pi} \frac{i}{r}(\pi - 2)$ $(A). \frac{\mu_0}{2r} \frac{2i}{r}(\pi + 1) \otimes$
$(B). \frac{\mu_0 i}{2r} \otimes$ $(B). \frac{\mu_0 i}{4\pi} \frac{i}{r}(\pi + 2) \otimes$ $(B). \frac{\mu_0 i}{4r} \frac{2i}{r}(\pi - 1) \otimes$
$(C). \frac{3\mu_0 i}{8r} \otimes$ $(C). \frac{\mu_0 i}{4r} \otimes$ $(C). \text{Zero}$
$(D). \frac{3\mu_0 i}{8r} \odot$ $(D). \frac{\mu_0 i}{4r} \odot$ $(D). \text{Infinite}$

Difficult
View Solution

The magnitude of magnetic induction at the midpoint '$O$' due to the current arrangement shown in the figure is ($\mu_0$ = permeability of free space).

Find the magnetic field at point $P$ due to a straight line segment $AB$ of length $6\, cm$ carrying a current of $5\, A$. (See figure) $(\mu_0 = 4\pi \times 10^{-7}\, T\cdot m/A)$

Define the intensity of magnetic field.

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo