Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AIIMS 201826 May
Exam
AIIMS
Year
2018
Date
26 May
Subject
Physics
Chapter
Magnetic Effects of Current

AIIMS 2018 · 26 May · Physics · Magnetic Effects of Current

A long cylindrical wire carrying current of 10 A. has radius of 5...

A long cylindrical wire carrying current of 10 A. has radius of 5 mm5 \mathrm{~mm}, then find its magnetic field induction at a point 2 mm2 \mathrm{~mm} from the centre of the wire. Current is uniformly distributed.

Options

  1. A1.6×10−4 T1.6 \times 10^{-4} \mathrm{~T}
  2. B2.4×10−4 T2.4 \times 10^{-4} \mathrm{~T}
  3. C3.2×10−4 T3.2 \times 10^{-4} \mathrm{~T}
  4. D0.8×10−4 T0.8 \times 10^{-4} \mathrm{~T}

Correct answer

A. 1.6×10−4 T1.6 \times 10^{-4} \mathrm{~T}

Step-by-step solution

B=μ0Ir2πR2B=4π×10−7×10×2×10−32π×(5×10−3)2=40×10−1025×10−6=1.6×10−4 T\begin{aligned}B & =\frac{\mu_0 I r}{2 \pi R^2} \\ B & =\frac{4 \pi \times 10^{-7} \times 10 \times 2 \times 10^{-3}}{2 \pi \times\left(5 \times 10^{-3}\right)^2}=\frac{40 \times 10^{-10}}{25 \times 10^{-6}} \\ & =1.6 \times 10^{-4} \mathrm{~T}\end{aligned}
Practice Magnetic Effects of Current on Quantrex Academy →

More from Magnetic Effects of Current

The magnitude of the magnetic induction (B) at a point on the axis at a large distance… MHT CET Medical 2026For a circular coil of radius a , at what distance x along its axis the magnetic field is… MHT CET Medical 2026A circular coil having 'n' turns, each of radius 'r' carries a current 'I'. The magnetic… MHT CET Medical 2026The ratio of cyclotron frequency f to the radius of the path of a charged particle R is… MHT CET Medical 2026In a cyclotron, for the same values of B and R, what is the ratio of the maximum kinetic… MHT CET Medical 2026The magnitude of the magnetic field at point O (centre of the arc) with radius R, in the… MHT CET Medical 2026Two wires of same material A and B, having lengths l and (2l)/(3) carry the currents I… MHT CET Medical 2026An electron is projected with uniform velocity along the axis of a current carrying long… MHT CET Medical 2026 Full Magnetic Effects of Current list All AIIMS PYQs