Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 202524 JanuaryMorning Shift
Exam
JEE Main
Year
2025
Date
24 January
Shift
Morning Shift
Subject
Physics
Chapter
Magnetic Effects of Current

JEE Main 2025 · 24 January · Morning Shift · Physics · Magnetic Effects of Current

A current of 5A exists in a square loop of side 1 2 ~m . Then the...

A current of 5A exists in a square loop of side 12 m\frac{1}{\sqrt{2}} \mathrm{~m}. Then the magnitude of the magnetic field BB at the centre of the square loop will be p×10−6 Tp \times 10^{-6} \mathrm{~T}. where, value of p is _____ . [\left[\right. Take \left.\mu_0=4 \pi \times 10^{-7} \mathrm{TmA}^{-1}\right]$.

Correct answer

0

Step-by-step solution

Let B be the magnetic field due to single side  then B=μ0i4πd(sin⁡θ1+sin⁡θ2)=10−7×5×2122×12=2×10−6∴Bnet  at centre O=4B=8×10−6\begin{aligned} & \text{ then } B=\frac{\mu_0 \mathrm{i}}{4 \pi \mathrm{ d}}\left(\sin \theta_1+\sin \theta_2\right) \\ & =\frac{10^{-7} \times 5 \times 2}{\frac{1}{2 \sqrt{2}}} \times \frac{1}{\sqrt{2}}=2 \times 10^{-6} \\ & \therefore B_{\text{net }} \text{ at centre } O=4 B \\ & =8 \times 10^{-6} \end{aligned}
Practice Magnetic Effects of Current on Quantrex Academy →

More from Magnetic Effects of Current

A hollow, right circular cone of base radius R and height h , with its tip at the origin… JEE Advanced 2026In a vacuum chamber, a particle of charge 1\ and mass 1 mg is projected with a velocity (… JEE Advanced 2026A current carrying circular loop of radius 2 cm with unit normal n = k + i 2 is placed in… JEE Main 2026A 5 mg particle carrying a charge of 5π× 10^ -6 C is moving with velocity of (3 i +2 k )×… JEE Main 2026A current of 30 A each flows in opposite directions in two conducting wires, placed… JEE Main 2026A small cube of side 1 mm is placed at the centre of a circular loop of radius 10 cm… JEE Main 2026The charged particle moving in a uniform magnetic field of (3 i + 2 j ) T has an… JEE Main 2026A circular coil of radius 2 cm and 125 turns carries a current of 1 A. The coil is placed… JEE Main 2026 Full Magnetic Effects of Current list All JEE Main PYQs