Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AIIMS 2003
Exam
AIIMS
Year
2003
Subject
Physics
Chapter
Magnetic Effects of Current

AIIMS 2003 · Physics · Magnetic Effects of Current

The earth's magnetic field at a given point is 0.5 × 10^ -5 ~Wb /...

The earth's magnetic field at a given point is 0.5×10−5 Wb/m20.5 \times 10^{-5} \mathrm{~Wb} / \mathrm{m}^2. This field is to be annulled by magnetic induction at the center of a circular conducting loop of radius 5.0 cm5.0 \mathrm{~cm}. The current required to be flown in the loop is nearly

Options

  1. A0.2 A0.2 \mathrm{~A}
  2. B0.4 A0.4 \mathrm{~A}
  3. C4 A4 \mathrm{~A}
  4. D40 A40 \mathrm{~A}.

Correct answer

B. 0.4 A0.4 \mathrm{~A}

Step-by-step solution

The magnetic field at the centre of a circular loop carrying current II is given by B=m0I2rB=\frac{m_0 I}{2 r} where ristheradiusofthecircularloop.Giventhatr is the radius of the circular loop. Given thatr=5.0 \mathrm{~cm}=0.05 \mathrm{~m}.Now,. Now,B=\frac{\mu_0 I}{2 r}=0.5 \times 10^{-5} ⇒\quadI=0.5×10−5×2×0.05μ0=0.5×10−5×0.14π×10−7=0.3978≈0.4A˚\begin{aligned} \Rightarrow \quadI & =\frac{0.5 \times 10^{-5} \times 2 \times 0.05}{\mu_0}=\frac{0.5 \times 10^{-5} \times 0.1}{4 \pi \times 10^{-7}}\\ & =0.3978 \approx0.4 Å \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