AP EAMCET · PHYSICS · Magnetic Effects of Current
A current \(I\) a flows in a circular arc of radius \(r\) subtending an angle \(\theta\) as shown in the figure. Find the magnetic field at the centre \(O\) of the circle.
- A \(\frac{\mu_0 I \theta}{4 \pi r}\)
- B \(\frac{2 \mu_0 I \cdot \sin \theta}{4 \pi r}\)
- C \(\frac{2 \mu_0 I \sin \theta}{2 r}\)
- D \(\frac{2 \mu_0 I \sin \theta}{4 r}\)
Answer & Solution
Correct Answer
(A) \(\frac{\mu_0 I \theta}{4 \pi r}\)
Step-by-step Solution
Detailed explanation
Magnetic field at the centre due to current carrying circular loop is given as \(B_C=\frac{\mu_0 I}{2 r}\) ...(i) Magnetic field due to current carrying circular arc making an angle \(\theta\) at the centre, is given as…
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