Question Part Points Submissions Used A nonconducting sphere has mass 76.8 g and

Question

Question Part Points Submissions Used A nonconducting sphere has mass 76.8 g and radius 20.4 cm. A flat, compact coil of wire with seven turns is wrapped tightly around it, with each turn concentric with the sphere. The sphere is placed on an inclined plane that slopes downward to the left (see figure below), making an angle ? with the horizontal so that the coil is parallel to the inclined plane. A uniform magnetic field of 0.336 T vertically upward exists in the region of the sphere. (a) What current in the coil will enable the sphere to rest in equilibrium on the inclined plane?
Question Part Points Submissions Used
Question Part Points Submissions Used
Question Part Points Submissions Used
Question Part Points Submissions Used
Question Part Points Submissions Used A nonconducting sphere has mass 76.8 g and radius 20.4 cm. A flat, compact coil of wire with seven turns is wrapped tightly around it, with each turn concentric with the sphere. The sphere is placed on an inclined plane that slopes downward to the left (see figure below), making an angle ? with the horizontal so that the coil is parallel to the inclined plane. A uniform magnetic field of 0.336 T vertically upward exists in the region of the sphere. (a) What current in the coil will enable the sphere to rest in equilibrium on the inclined plane? A nonconducting sphere has mass 76.8 g and radius 20.4 cm. A flat, compact coil of wire with seven turns is wrapped tightly around it, with each turn concentric with the sphere. The sphere is placed on an inclined plane that slopes downward to the left (see figure below), making an angle ? with the horizontal so that the coil is parallel to the inclined plane. A uniform magnetic field of 0.336 T vertically upward exists in the region of the sphere. (a) What current in the coil will enable the sphere to rest in equilibrium on the inclined plane? (a) What current in the coil will enable the sphere to rest in equilibrium on the inclined plane? Question Part Points Submissions Used

Explanation / Answer

m = 76.8 g, N = 7, r = 20.4 cm

In equilibrium T = m g r sin theta

But T = N mu B, mu = A I

N A B I sin theta = m g r sin theta

I = (m g r) / (N A B )

= m g / (N pi r B)

= (76.8 * 10-3 * 9.8) / (7 * pi * 20.4 * 10-2 * 0.336)

= 0.499 A [anti clockwise]

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