Question
Download Solution PDFThe value of magnetic field at the centre of a circular loop is ___________.
This question was previously asked in
OSSC Excise SI (Mains) Official Paper (Held On: 17 Oct, 2024 Shift 2)
Answer (Detailed Solution Below)
Option 3 : \(\mu_0 \frac{I}{2}R\)
Detailed Solution
Download Solution PDFThe correct answer is option 3
Key Points
- The formula for the magnetic field at the center of a circular loop is B = (μ₀I)/(2R).
- This formula is derived from the Biot-Savart law.
- Where μ₀ is the permeability of free space, I is the current, and R is the radius of the loop.
- The magnetic field is directly proportional to the current and inversely proportional to the radius.
Important Points
- The magnetic field at the center of a circular loop is uniform and directed perpendicular to the plane of the loop.
- The direction of the magnetic field follows the right-hand rule.
- Increasing the current or decreasing the radius will increase the magnitude of the magnetic field.
- This formula is essential for understanding magnetic fields in circular loops, which is a fundamental concept in electromagnetism.
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