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Ampere's law: field or line integral from the net enclosed current

This type of question, asked 2 times: 18 Apr 2026 S2, 13 May 2026 S1. All 2 questions below, oldest first.

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  1. Question 1

    18 Apr 2026 S2

    133
    Two wires with current 3A and 1.5A are enclosed in a circular loop P. Third parallel wire with current 1A is situated outside the loop as shown. All the wires are perpendicular to the plane of the circular loop. The value of ∮B⃗⋅dl⃗\oint\vec{B}\cdot\vec{dl} around the loop is (μ0=\mu_0 = permeability of free space)

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  2. Question 2

    13 May 2026 S1

    131
    Six very long insulated copper wires are bound together to form a cable. The currents carried by the wires are i1=10i_1 = 10A, i2=−13i_2 = -13A, i3=10i_3 = 10A, i4=7i_4 = 7A, i5=−12i_5 = -12A and i6=18i_6 = 18 A. The magnetic induction at a perpendicular distance of 1010 cm from the cable is (μ0=4π×10−7(\mu_0 = 4\pi \times 10^{-7} SI units)

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