TS EAMCET · Physics · Magnetic Effects of Current
A conducting wire is in the shape of a regular hexagon which is inscribed inside an imaginary circle of radius \(R\). If a current \(I\) flows the wire, the magnitude of magnetic field at the centre of the circle is
- A \(\frac{\mu_0 J}{2 \sqrt{3} \pi R}\)
- B \(\frac{\sqrt{3} \mu_0 J}{2 \pi R}\)
- C \(\frac{3 \mu_0 J}{2 \pi R}\)
- D \(\frac{\sqrt{3} \mu_0 J}{\pi R}\)
Answer & Solution
Correct Answer
(D) \(\frac{\sqrt{3} \mu_0 J}{\pi R}\)
Step-by-step Solution
Detailed explanation
The given situation is shown in the following figure First we will calculate magnetic field at centre due to current segment \(A B\). \(\therefore \text { In } \triangle O A M \text {, }\) \(\sin 60^{\circ}=\frac{O M}{R} \Rightarrow \frac{\sqrt{3}}{2}=\frac{O M}{R}\)…
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