Question:
A regular polygon of 6 sides is formed by bending a wire of length 4 \(\pi\) meter. If an electric current of \(4 \pi \sqrt3 \) 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 ____.
A regular polygon of 6 sides is formed by bending a wire of length 4 \(\pi\) meter. If an electric current of \(4 \pi \sqrt3 \) 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 ____.
Updated On: Nov 14, 2024
Hide Solution
Verified By Collegedunia
Correct Answer: 72
Solution and Explanation
The magnetic field at the centre of a regular polygon with \(n\) sides is given by:
\[ B = \frac{\mu_0 I n}{4\pi r} \left(\sin 30^\circ + \sin 30^\circ\right) \]
Substituting values:
\[ B = 72 \times 10^{-7} \, \text{T} \]
Was this answer helpful?
0
0
Top Questions on Magnetism and matter
A current-carrying coil is placed in an external uniform magnetic field. The coil is free to turn in the magnetic field. What is the net force acting on the coil? Obtain the orientation of the coil in stable equilibrium. Show that in this orientation the flux of the total field (field produced by the loop + external field) through the coil is maximum.
- CBSE CLASS XII - 2025
- Physics
- Magnetism and matter
- Obtain the relation for magnetic dipole moment \( \mathbf{M} \) of a current-carrying coil. Give the direction of \( \mathbf{M} \).
- CBSE CLASS XII - 2025
- Physics
- Magnetism and matter
- A current-carrying loop can be considered as a magnetic dipole placed along its axis. Explain.
- CBSE CLASS XII - 2025
- Physics
- Magnetism and matter
- A diamagnetic substance is brought, one by one, near the north pole and the south pole of a bar magnet. It is:
- CBSE CLASS XII - 2025
- Physics
- Magnetism and matter
- A 0.5 m long solenoid has 400 turns and carries a current of \( 3 \, \text{A} \). What is the magnetic field at the center of the solenoid?
- MHT CET - 2025
- Physics
- Magnetism and matter
View More Questions
Questions Asked in JEE Main exam
- If \( \alpha + i\beta \) and \( \gamma + i\delta \) are the roots of the equation \( x^2 - (3-2i)x - (2i-2) = 0 \), \( i = \sqrt{-1} \), then \( \alpha\gamma + \beta\delta \) is equal to:
- JEE Main - 2025
- Complex numbers
- A galvanometer having a coil of resistance 30 \( \Omega \) needs 20 mA of current for full-scale deflection. If a maximum current of 3 A is to be measured using this galvanometer, the resistance of the shunt to be added to the galvanometer should be \( X \, \Omega \), where \( X \) is:
- JEE Main - 2025
- Electrical Circuits and Shunt Resistance
- The variance of the numbers 8, 21, 34, 47, \dots, 320, is:
- JEE Main - 2025
- Arithmetic Progression and Variance
- Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : If Young’s double slit experiment is performed in an optically denser medium than air, then the consecutive fringes come closer.
Reason (R) : The speed of light reduces in an optically denser medium than air while its frequency does not change.
In the light of the above statements, choose the most appropriate answer from the options given below : - The increase in pressure required to decrease the volume of a water sample by 0.2percentage is \( P \times 10^5 \, \text{Nm}^{-2} \). Bulk modulus of water is \( 2.15 \times 10^9 \, \text{Nm}^{-2} \). The value of \( P \) is ________________.
- JEE Main - 2025
- System of Particles & Rotational Motion
View More Questions