A conducting rod OA of length l is rotated about its end O with an angular velocity `omega` in a uniform magnetic field directed perpendicualr to the rotation. Find the emf induced in the rod, between it's ends.

Explanation

To find the induced electromotive force (emf) in a conducting rod OA of length \( l \) that is rotated about its end O with an angular velocity \( \omega \) in a uniform magnetic field directed perpendicular to the rotation, we can follow these steps:

### Step 1: Understand the Setup
We have a conducting rod OA of length \( l \) rotating about point O with angular velocity \( \omega \). The magnetic field \( B \) is uniform and directed perpendicular to the plane of rotation.

### Step 2: Define a Small Element
Consider a small section of the rod at a distance \( x \) from point O with a width \( dx \). We will analyze this small section to find the induced emf.

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