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CUET · PHYSICS · PYQ PAPER 2023

A wire carries a current of 10 A in south to north direction. The magnetic field due to 1 cm piece of wire at a point 200 cm northeast from the piece :

  1. A \(0.9 \times 10^{-9}\) downwards
  2. B \(0.9 \times 10^{-9} T\) upwards
  3. C \(1.8 \times 10^{-9} T\) south to north
  4. D \(1.8 \times 10^{-9} T\) downwards
Verified Solution

Answer & Solution

Correct Answer

(C) \(1.8 \times 10^{-9} T\) south to north

Step-by-step Solution

Detailed explanation

\(dB = \frac{\mu_0}{4\pi} \frac{I dl \sin\theta}{r^2}\) \(dB = 10^{-7} \frac{10 \times 0.01 \times \sin(45^\circ)}{2^2}\) \(dB = 10^{-7} \frac{0.1 \times \frac{1}{\sqrt{2}}}{4} = 1.767 \times 10^{-9} \approx 1.8 \times 10^{-9} T\) Direction (\(\vec{dl} \times \vec{r}\)): North…
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