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Charges Q1 and Q2 are uniformly distributed in two half of a sphere with radius R....

Charges Q1 and Q2 are uniformly distributed in two half of a sphere with radius R. The two halves rotate around the z-axis with each spinning in opposite directions. The half spheres have angular velocities ω1 and ω2. Using Biot Savart law, find the magnetic field at the center of the sphere.

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