Question

The earth magnetic induction at a certain points 7/100000 Wb/m×m . This field is to be annulled by magnetic induction at the centre of a circular conducting loop 5.0 cm in radius . The current required is nearly. (1) 5.6 A. (2)56A. (3)2.8 A. (4) 28 A

Answer 1

Answer on Question #75074, Physics / Electromagnetism

The earth magnetic induction at a certain points 7/100000 Wb/m×m. This field is to be annulled by magnetic induction at the centre of a circular conducting loop 5.0 cm in radius. The current required is nearly. (1) 5.6 A. (2)56A. (3)2.8 A. (4) 28 A.

Solution:

Field created at the center $7 \times 10^{-5} \, \mathrm{Wb/m^2}$

The magnetic field in the center of the circular current is

$$H = \frac{\mu_0}{2r} i$$

So, we get

$$i = \frac{2rH}{\mu_0}$$

Finally

$$i = \frac{2 \times (5 \times 10^{-2} \, m) \times (7 \times 10^{-5} \, \mathrm{Wb/m^2})}{4\pi \times 10^{-7} \, H/m} = 5.6 \, \mathrm{A}$$

Answer: (1) 5.6 A

Answer provided by https://www.AssignmentExpert.com