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**1. Homework Statement**

A perfectly conducting spherical shell of radius 'a' rotates about the z-axis with angular velocity [itex]\omega[/itex] in a uniform magnetic field [itex] \mathbf{B} = B_0 \hat{\mathbf{z}}[/itex]. Calculate the emf developed between the "north pole" and the equator.

**2. Homework Equations**

**3. The Attempt at a Solution**

I don't understand how emf makes sense in this context. I have only seen emf in currents. The emf is defined as an integral around a LOOP:

[tex]\int_{loop} \mathbf{f} \cdot d\mathbf{l} [/tex]

I don't see how you would generalize it here.

I already read this https://www.physicsforums.com/showthread.php?t=112819.

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