$A$ current $I$ flows in a circular arc of radius $r$ subtending an angle $\theta$ at the centre $O$ as shown in the figure. Find the magnetic field at the centre $O$ of the circle.
- A$\frac{\mu_0 I \theta}{4 \pi r}$
- B$\frac{2 \mu_0 I \sin \theta}{4 \pi r}$
- C$\frac{2 \mu_0 I \sin \theta}{2 r}$
- D$\frac{2 \mu_0 I \sin \theta}{4 r}$
Explore More
Similar Questions
For the given circuits,the magnetic field at point $O$ is given. Which of the following is correct?
$(i)$ $(ii)$ $(iii)$ $(A). \frac{\mu_0 i}{r} \otimes$ $(A). \frac{\mu_0 i}{4}(\frac{1}{r_1} - \frac{1}{r_2}) \otimes$ $(A). \frac{\mu_0 i}{4}(\frac{1}{r_1} - \frac{1}{r_2}) \otimes$ $(B). \frac{\mu_0 i}{2r} \odot$ $(B). \frac{\mu_0 i}{4}(\frac{1}{r_1} + \frac{1}{r_2}) \otimes$ $(B). \frac{\mu_0 i}{4}(\frac{1}{r_1} + \frac{1}{r_2}) \otimes$ $(C). \frac{\mu_0 i}{4r} \otimes$ $(C). \frac{\mu_0 i}{4}(\frac{1}{r_1} - \frac{1}{r_2}) \odot$ $(C). \frac{\mu_0 i}{4}(\frac{1}{r_1} - \frac{1}{r_2}) \odot$ $(D). \frac{\mu_0 i}{4r} \odot$ $(D). 0$ $(D). 0$
| $(i)$ | $(ii)$ | $(iii)$ |
| $(A). \frac{\mu_0 i}{r} \otimes$ | $(A). \frac{\mu_0 i}{4}(\frac{1}{r_1} - \frac{1}{r_2}) \otimes$ | $(A). \frac{\mu_0 i}{4}(\frac{1}{r_1} - \frac{1}{r_2}) \otimes$ |
| $(B). \frac{\mu_0 i}{2r} \odot$ | $(B). \frac{\mu_0 i}{4}(\frac{1}{r_1} + \frac{1}{r_2}) \otimes$ | $(B). \frac{\mu_0 i}{4}(\frac{1}{r_1} + \frac{1}{r_2}) \otimes$ |
| $(C). \frac{\mu_0 i}{4r} \otimes$ | $(C). \frac{\mu_0 i}{4}(\frac{1}{r_1} - \frac{1}{r_2}) \odot$ | $(C). \frac{\mu_0 i}{4}(\frac{1}{r_1} - \frac{1}{r_2}) \odot$ |
| $(D). \frac{\mu_0 i}{4r} \odot$ | $(D). 0$ | $(D). 0$ |
Difficult
View SolutionWhat is the ratio of the electric field to the magnetic field produced by a moving point charge if its speed is $4.5 \times 10^{5} \; m/s$?
DifficultAIIMS 2019
View Solution$20 \, A$ current is flowing in a long straight wire. The intensity of the magnetic field at a distance of $20 \, cm$ from the wire will be:
Easy
View SolutionAn element $dl = dx \hat{i}$ (where,$dx = 1 \, cm$) is placed at the origin and carries a large current $i = 10 \, A$. What is the magnetic field on the $Y$-axis at a distance of $0.5 \, m$?
DifficultAIIMS 2018
View SolutionWrite the formula for the magnetic field at a point on the axis of a circular current-carrying loop of radius $R$ at a distance $x$ from its center,where $x >> R$.
Medium
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo