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A cube-shaped permanent magnet is made of a ferromagnetic material with a magnetization M of about The side length is 2 cm. Magnetic field due to the magnet at a point 10 cm from the magnet along its axis is

  • a)
    0.003 T

  • b)
    0.002 T

  • c)
    0.004 T

  • d)
    0.001 T

Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A cube-shaped permanent magnet is made of a ferromagnetic material wit...
Correct Answer :- d
Explanation : μtotal = MV
= (8*105)(2*10-2)
= 6A m2
Magnetic field on the axis of a current loop with magnetic material μtotal is:
B = μμtotal / (2π(x2 + a2)1/2
B = (4π*10-7)(6) / [2π(0.1)]
= 1 * 10-3 T
= 0.001 T
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Community Answer
A cube-shaped permanent magnet is made of a ferromagnetic material wit...
Calculating magnetic field at a point due to a cube-shaped permanent magnet

Given:
Magnetization (M) = 8 * 10^5 A/m
Side length of the cube (l) = 2 cm = 0.02 m
Distance of point from the magnet along its axis (r) = 10 cm = 0.1 m

To find: Magnetic field (B) at the point

Formula:
The magnetic field due to a magnet at a point along its axis is given by:
B = μ₀M/2 * [((l/2)+r)/((l/2)+r)³ - ((l/2)-r)/((l/2)-r)³]

where μ₀ is the magnetic constant (4π * 10^-7 Tm/A)

Calculation:
Substituting the given values in the above formula, we get:
B = (4π * 10^-7 Tm/A) * 8 * 10^5 A/m / 2 * [((0.02/2) + 0.1)/((0.02/2) + 0.1)³ - ((0.02/2) - 0.1)/((0.02/2) - 0.1)³]

Simplifying the expression, we get:
B = 0.001 T

Therefore, the magnetic field at the point is 0.001 T, which is the correct answer.
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A cube-shaped permanent magnet is made of a ferromagnetic material with a magnetization M of about The side length is 2 cm. Magnetic field due to the magnet at a point 10 cm from the magnet along its axis isa)0.003 Tb)0.002 Tc)0.004 Td)0.001 TCorrect answer is option 'D'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A cube-shaped permanent magnet is made of a ferromagnetic material with a magnetization M of about The side length is 2 cm. Magnetic field due to the magnet at a point 10 cm from the magnet along its axis isa)0.003 Tb)0.002 Tc)0.004 Td)0.001 TCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cube-shaped permanent magnet is made of a ferromagnetic material with a magnetization M of about The side length is 2 cm. Magnetic field due to the magnet at a point 10 cm from the magnet along its axis isa)0.003 Tb)0.002 Tc)0.004 Td)0.001 TCorrect answer is option 'D'. Can you explain this answer?.
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