A sphere of radius R carries a surface-charge distribution σ in the region of θ ∈ [π/2−α, π/2 +α], α is a fixed parameter. The rest of the sphere has no charge. The sphere is rotated about the z axis with constant angular velocity ω. (a) (20 pts) Find the magnetic dipole moment ~m. (b) (10 pts) Demonstrate that your solution is correct by considering two limits: α → π/2, α → 0. In the second limit assume that the total current is held fixed.

Aweather forecaster uses doppler radar to predict the track of a storm near the town of meadowlands. when the doppler signal is pointed at the storm from the town's center, the frequencies of the waves appear to be decreasing. what should the weather forecaster predict? a. that the storm will move around the edges of meadowlands without hitting the tosis center o b. that residents should be prepared, because it is impossible to know whether the storm will hit o c. that the storm is moving toward meadowlands and that residents should be prepared d. that the storm is moving away from meadowlands and is not likely to hit the town