A straight wire is placed in a magnetic field that varies with distance x from origin as \overrightarrow{B}=B_{0}(2-\frac{x}{a}) \hat{k}. Ends of wire are at ( {a}, 0) and (2 {a}, 0) and it carries a current I. If force on wire is \overrightarrow{ {F}= {IB}_{0}(\frac{ {ka}}{2}) \hat{ {j}, then value of k is

WBJEE 2022 Physics and Chemistry Paper

Question : 10 of 80

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A straight wire is placed in a magnetic field that varies with distance x from origin as

→

=B0(2−‌

)

∧

. Ends of wire are at (a,0) and (2a,0) and it carries a current I. If force on wire is

→

=IB0(‌

)

∧

, then value of k is

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