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CUET · PHYSICS · PYQ PAPER 2025

A tightly wound 100 turn coil of radius 5 cm is carrying a certain amount of current. The magnitude of the magnetic field at the center of the coil is \( 2\pi \times 10^{-4} \, T \). The value of current flowing through the coil is

  1. A \(0.05A\)
  2. B \(0.1A\)
  3. C \(2A\)
  4. D \(0.5A\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(0.5A\)

Step-by-step Solution

Detailed explanation

\( B = \frac{\mu_0 N I}{2R} \) \( I = \frac{2RB}{\mu_0 N} \) \( I = \frac{2 \times 0.05 \, \text{m} \times 2\pi \times 10^{-4} \, \text{T}}{4\pi \times 10^{-7} \, \text{T} \cdot \text{m/A} \times 100} = 0.5 \, \text{A} \)
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