A metal rod length l rotates about on end with a uniform angular velocity `omega`. A uniform magnetic field `vecB` exists in the direction of the axis of rotation. Calculate the emf induced between the ends of the rod. Neglect the centripetal force acting on the free electrons as they moving in circular paths.

Explanation

To solve the problem of calculating the induced EMF between the ends of a rotating metal rod in a magnetic field, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Setup**:
- We have a metal rod of length \( L \) that is rotating about one end (let's call it point A) with a uniform angular velocity \( \omega \).
- A uniform magnetic field \( \vec{B} \) is directed along the axis of rotation.

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