Let \( B_{p}, B_{q} \) and \( B_{r} \) be the magnetic fields produced by the three infinite lon...

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Let \( B_{p}, B_{q} \) and \( B_{r} \) be the magnetic fields produced by the three infinite long wires \( P, Q \) and \( R \), respectively. These wires are placed symmetrically inside an equilateral triangular loop as shown in the figure.

Currentin 3 wires are as shown infigure. If \( \int_{A}^{B} \vec{B}_{P} . d \vec{l}=4 \mu_{0} \) and \( \int_{C}^{A} \vec{B}_{Q} \cdot d \vec{l}=-15 \mu_{0} \). Considering SI units, the value of \( I \) is
(A) \( 15 \mathrm{~A} \)
(B) \( 5 \mathrm{~A} \)
(C) \( 13 \mathrm{~A} \)
(D) Information insufficient
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