Ampere's circuital law

The diagram below shows a bent wire a b c d a \rightarrow b \rightarrow c \rightarrow d situated in z-x plane. A current I 0 I_0 flows in the direction shown.

An imaginary loop P Q R S PQRS is placed in the x-y plane as shown below.

Calculate B d \displaystyle \oint \vec{B} \cdot \vec{d \ell} over the loop P Q R S PQRS due to current flowing in the bent wire a b c d abcd . If the answer is of the form μ 0 I 0 n \dfrac{\mu_0 I_0}{n} , where n n is a positive integer, enter your answer as the value of n n .


The answer is 3.

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