Q27.A regular polygon of 6 sides is formed by bending a wire of length 4 π meter. If an electric current of 4𝜋√3 A is flowing through the sides of the polygon, the magnetic field at the centre of the polygon would be 𝑥× 10-7 T . The value of 𝑥 is ______.
What This Question Tests
This question requires calculating the magnetic field at the center of a regular hexagonal current loop. It involves applying the formula for the magnetic field due to a straight wire and summing contributions using symmetry for the polygon.
Concepts Tested
Formulas Used
B = (μ₀I / 4πd) * (sinα + sinβ)
B_polygon = (nμ₀I / 2πL) * tan(π/n)
📚 NCERT Sections This Tests
4.6 — A 3.0 Cm Wire Carrying A Current Of 10 A Is Placed Inside A Solenoid
Physics Class 11 · Chapter 4
4.6 A 3.0 cm wire carrying a current of 10 A is placed inside a solenoid perpendicular to its axis. The magnetic field inside the solenoid is given to be 0.27 T. What is the magnetic force on the wire?
2.2 — A Regular Hexagon Of Side 10 Cm Has A Charge 5 Mc At Each Of Its
Physics Class 11 · Chapter 2
2.2 A regular hexagon of side 10 cm has a charge 5 mC at each of its vertices. Calculate the potential at the centre of the hexagon.
4.9 — A Square Coil Of Side 10 Cm Consists Of 20 Turns And Carries A Current
Physics Class 11 · Chapter 4
4.9 A square coil of side 10 cm consists of 20 turns and carries a current of 12 A. The coil is suspended vertically and the normal to the plane of the coil makes an angle of 30º with the direction of a uniform horizontal magnetic field of magnitude 0.80 T. What is the magnitude of torque experienced by the coil?
📋 Question Details
- Chapter
- Magnetic Effects of Current
- Topic
- Magnetic field due to a polygon
- Year
- 2024
- Shift
- 01 Feb Shift 1
- Q Number
- Q27
- Type
- Numerical
- NCERT Ref
- Class 12 Physics Ch 4: Moving Charges and Magnetism
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