(Solved):   Q4 (25P). A lossless metal bar is moving on a conducting rail with velocity \( \bar{u}=\ha ...

 

Q4 (25P). A lossless metal bar is moving on a conducting rail with velocity \( \bar{u}=\hat{a}_{y} 10(\mathrm{~m} / \mathrm{s}) \). If \( \bar{B}=-\bar{a}_{x} 5 \) (T), find the induced emf \( \left[V_{\mathrm{emf}}=\oint_{c}(\bar{u} \times \bar{B}) \cdot d \bar{l}\right] \) for \( h=0.01 \mathrm{~m} \).