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Question

A square-shaped wire loop of side L is carrying a current I. What is the magnetic field at the point of intersection of diagonals of the square wire loop?

The correct answer is

(2√2 μ0I) / (πL)

The magnetic field at the center of a square loop carrying current I can be found using the Biot-Savart law. The contribution from each side is considered, and the superposition principle is applied. The derived formula for the net magnetic field at the intersection of diagonals is:
B = (2√2 μ0I) / (πL).
Thus, the correct answer is option (b).

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Important Questions from Moving Charge and Magnetism

  1. A square-shaped wire loop of side L is carrying a current I. What is the magnetic field at the point of intersection of diagonals of the square wire loop?

  2. The magnitude of a magnetic force on a current-carrying conductor is given by:

  3. Under the influence of a uniform magnetic field, a charged particle moves with a constant speed v in a circle of radius r. The time period of the revolution of the particle:

  4. The magnitude of a magnetic force on a current-carrying conductor is given by:

  5. Under the influence of a uniform magnetic field, a charged particle moves with a constant speed v in a circle of radius r. The time period of the revolution of the particle:

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