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JEE Main 202628 JanuaryMorning Shift
Exam
JEE Main
Year
2026
Date
28 January
Shift
Morning Shift
Subject
Physics
Chapter
Magnetic Effects of Current

JEE Main 2026 · 28 January · Morning Shift · Physics · Magnetic Effects of Current

Three long straight wires carrying current are arranged mutually...

Three long straight wires carrying current are arranged mutually parallel as shown in the figure. The force experienced by 15 cm length of wire QQ is ____\_\_\_\_.
Three long straight wires carrying current are arranged mutually parallel as shown in the figure. The force experienced
(μo=4π×10−7 T.m/A\mu_{\mathrm{o}}=4 \pi \times 10^{-7} \mathrm{~T}. \mathrm{m} / \mathrm{A})

Options

  1. A6×10−6 N6 \times 10^{-6} \mathrm{~N} towards PP
  2. B6×10−7 N6 \times 10^{-7} \mathrm{~N} towards PP
  3. C6×10−7 N6 \times 10^{-7} \mathrm{~N} towards RR
  4. D6×10−6 N6 \times 10^{-6} \mathrm{~N} towards RR

Correct answer

D. 6×10−6 N6 \times 10^{-6} \mathrm{~N} towards RR

Step-by-step solution

The force per unit length between parallel wires is F/L=μ0I1I22πdF/L = \frac{\mu_0 I_1 I_2}{2\pi d}.
Force on Q from P (opposite currents, repulsive towards R): FQPL=4π×10−7×3×12π×0.03=2×10−5\frac{F_{QP}}{L} = \frac{4\pi \times 10^{-7} \times 3 \times 1}{2\pi \times 0.03} = 2 \times 10^{-5} N/m.
Force on Q from R (same currents, attractive towards R): FQRL=4π×10−7×1×22π×0.02=2×10−5\frac{F_{QR}}{L} = \frac{4\pi \times 10^{-7} \times 1 \times 2}{2\pi \times 0.02} = 2 \times 10^{-5} N/m.
Total force per unit length towards R: 4×10−54 \times 10^{-5} N/m.
For 0.15 m length: F=4×10−5×0.15=6×10−6F = 4 \times 10^{-5} \times 0.15 = 6 \times 10^{-6} N towards R.
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