Determine the force required to separate two magnetic surfaces with a contact area of 4π cm2 and the magnetic flux density across the surface is 1 wb/m2.

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SSC JE Electrical 07 Jun 2024 Shift 3 Official Paper - 1
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  1. 1000 N
  2. 500 N
  3. 800 N
  4. 100 N

Answer (Detailed Solution Below)

Option 2 : 500 N
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Detailed Solution

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Concept

The force required to separate two magnetic surfaces is given by:

\(F={B^2A\over 2μ_o}\)

where, B = Magnetic flux density 

A = Contact area

μo = Permittivity of free space

Calculation

Given, A = 4π cm2 = 4π × 10-4 m2 

B = 1 wb/m2

μo = 4π × 10-4 

\(F={(1)^2\times 4 π × 10^{ −4 } \over 2\times 4\pi\times 10^{-7}}\)

F = 500 N

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