The magnetic field inn a region is given by `vec B = veck (B_0)/(L) y where L is a fixed length. A conducting rod of length L lies along the Y - axis between the origin and the point (0,L, 0). If the rod moves with a velocity `v= v_0 veci, find the emf induced between the ends of the rod.

Explanation

To find the induced electromotive force (emf) between the ends of a conducting rod moving in a magnetic field, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Setup**:
- We have a magnetic field given by \( \vec{B} = \frac{B_0}{L} \hat{k} y \).
- A conducting rod of length \( L \) lies along the Y-axis, from the origin (0,0,0) to the point (0,L,0).
- The rod moves with a velocity \( \vec{v} = v_0 \hat{i} \) (along the X-axis).
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