Question

A non - conducting sphere has a mass of 100 g and radius 20 cm. A flat compact coil of wire with turns 5 is wrapped tightly around it with each turns concentric with the sphere. This sphere is placed on an inclined plane such that plane of coil is parallel to the inclined plane. A uniform magnetic field of 0.5 T exists in the region in
vertically upward direction. Compute the current I required to rest the sphere in equilibrium .
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Answer 1

Explanation:

Given A non - conducting sphere has a mass of 100 g and radius 20 cm. A flat compact coil of wire with turns 5 is wrapped tightly around it with each turns concentric with the sphere. This sphere is placed on an inclined plane such that plane of coil is parallel to the inclined plane. A uniform magnetic field of 0.5 T exists in the region in

• The plane of coil is parallel to the inclined plane.A uniform magnetic field of 0.5 T exists in the region in vertically upward direction. We need to find the current required to rest the sphere in equilibrium.
• Now the torque is given by
• Tg = mg sin theta  x r
•     = 0.1 x 10 x 0.2 sin theta (r = 0.2, m = 0.1)
•     = 0.2 sin theta Nm ---------1
• Now current in the magnetic field, torque is given by
• Tm = B x I x A sin theta x N
•      = 0.5 x I x π x 0.2^2 x sin theta x 5
•      = 0.1 I π sin theta--------2
• Equating both 1 and 2 equations we get
•   0.2 = 0.1 I π
•  Or I = 0.2 / 0.1 x π
•  Or I = 2 / π A

Reference link will be

https://brainly.in/question/4675112

Answer 2

Answer:

1=2teta A will be the correct answer