TS EAMCET · Physics · Magnetic Effects of Current
Consider a current carrying wire shown in the figure. If the radius of the curved part of the wire is \(R\) and the linear parts are assumed to be very long, then the magnetic induction of the field at the point \(O\) is
- A \(\frac{\mu_0}{4 \pi} \frac{i}{R}(2+\pi)\)
- B \(\frac{\mu_d}{2 \pi R}\)
- C \(\frac{\mu_0}{2} \frac{i}{R}\)
- D \(\frac{\mu_0}{4} \frac{i}{R}\)
Answer & Solution
Correct Answer
(A) \(\frac{\mu_0}{4 \pi} \frac{i}{R}(2+\pi)\)
Step-by-step Solution
Detailed explanation
Magnetic field at point \(O=\) Magnetic field due to wire l + Magnetic field due to semi-circle + Magnetic field due to wire 2 \( \therefore B_{\text {at } O}=\frac{\mu_0 i}{4 \pi R}+\frac{\mu_0 i}{4 R}+\frac{\mu_0 i}{4 \pi R}=\frac{\mu_0 i}{4 \pi R}(2+\pi) \)
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