A uniform conducting wire $A B C$ has a mass of 10 g . A current of 2 A flows through it. The wire i

Question

A uniform conducting wire $A B C$ has a mass of 10 g . A current of 2 A flows through it. The wire is kept in a uniform magnetic field $\mathrm{B}=2 \mathrm{~T}$. The acceleration of the wire will be

Professor PC Thomas Classes · Answer

The force on the bent wire is same as the force on the straight conductor AC. Using the effective straight-line length between the endpoints ( $A C=\sqrt{5^2-4^2}=3 \mathrm{~cm}$ ), the acceleration is $a=\frac{I \cdot L_{A C} \cdot B}{m}=\frac{2 \cdot 0.03 \cdot 2}{0.01}=12 \mathrm{~m} / \mathrm{s}^2$ directed along the positive y -axis (since $\hat{i} 	imes-\hat{k}=\hat{j})$.