$A$ current of $0.1\, A$ circulates around a coil of $100$ turns and having a radius equal to $5\, cm$. The magnetic field set up at the centre of the coil is $({\mu _0} = 4\pi \times {10^{ - 7}}\,T\cdot m/A)$.
- A$4\pi \times {10^{ - 5}}\,T$
- B$8\pi \times {10^{ - 5}}\,T$
- C$4 \times {10^{ - 5}}\,T$
- D$2 \times {10^{ - 5}}\,T$
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View SolutionFor the given circuits,the magnetic field at point $O$ is given. Which of the following is correct?
$(i)$ $(ii)$ $(iii)$ $(A). \frac{\mu_0 i}{r} \otimes$ $(A). \frac{\mu_0 i}{4}(\frac{1}{r_1} - \frac{1}{r_2}) \otimes$ $(A). \frac{\mu_0 i}{4}(\frac{1}{r_1} - \frac{1}{r_2}) \otimes$ $(B). \frac{\mu_0 i}{2r} \odot$ $(B). \frac{\mu_0 i}{4}(\frac{1}{r_1} + \frac{1}{r_2}) \otimes$ $(B). \frac{\mu_0 i}{4}(\frac{1}{r_1} + \frac{1}{r_2}) \otimes$ $(C). \frac{\mu_0 i}{4r} \otimes$ $(C). \frac{\mu_0 i}{4}(\frac{1}{r_1} - \frac{1}{r_2}) \odot$ $(C). \frac{\mu_0 i}{4}(\frac{1}{r_1} - \frac{1}{r_2}) \odot$ $(D). \frac{\mu_0 i}{4r} \odot$ $(D). 0$ $(D). 0$
| $(i)$ | $(ii)$ | $(iii)$ |
| $(A). \frac{\mu_0 i}{r} \otimes$ | $(A). \frac{\mu_0 i}{4}(\frac{1}{r_1} - \frac{1}{r_2}) \otimes$ | $(A). \frac{\mu_0 i}{4}(\frac{1}{r_1} - \frac{1}{r_2}) \otimes$ |
| $(B). \frac{\mu_0 i}{2r} \odot$ | $(B). \frac{\mu_0 i}{4}(\frac{1}{r_1} + \frac{1}{r_2}) \otimes$ | $(B). \frac{\mu_0 i}{4}(\frac{1}{r_1} + \frac{1}{r_2}) \otimes$ |
| $(C). \frac{\mu_0 i}{4r} \otimes$ | $(C). \frac{\mu_0 i}{4}(\frac{1}{r_1} - \frac{1}{r_2}) \odot$ | $(C). \frac{\mu_0 i}{4}(\frac{1}{r_1} - \frac{1}{r_2}) \odot$ |
| $(D). \frac{\mu_0 i}{4r} \odot$ | $(D). 0$ | $(D). 0$ |
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