Which of the following statements is correct?

This question was previously asked in
SSC CGL 2020 Tier-I Official Paper 10 (Held On : 18 Aug 2021 Shift 1)
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  1. Magnetic flux is a vector quantity.
  2. Two magnetic field lines may intersect.
  3. The net magnetic flux through any closed surface is zero.
  4. Earth's magnetic poles coincide with the geographic poles.

Answer (Detailed Solution Below)

Option 3 : The net magnetic flux through any closed surface is zero.
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PYST 1: SSC CGL - English (Held On : 11 April 2022 Shift 1)
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Detailed Solution

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The correct answer is The net magnetic flux through any closed surface is zero.

Key Points

  • The net magnetic flux through any closed surface will be zero.

Additional Information

  • Gauss' Law for Magnetism:
    • Gauss' Law for magnetism applies to the magnetic flux through a closed surface. In this case, the area vector points out from the surface.
    • Because magnetic field lines are continuous loops, all closed surfaces have as many magnetic field lines going in as coming out. Hence, the net magnetic flux through a closed surface is zero.
    • Net flux = ∫ B • dA = 0
    • Gauss' Law for charges was a very useful method for calculating electric fields in highly symmetric situations.
    • Gauss' Law for magnetism is considerably less useful, but we'll come up with another law that enables us to calculate magnetic fields in highly symmetric situations. 

Magnetic flux:

  • Magnetic flux is defined as the number of magnetic field lines passing through a given closed surface.
  • It provides the measurement of the total magnetic field that passes through a given surface area.
  • It is a scalar quantity.
  • The SI unit of magnetic flux is Weber (Wb).

​Magnetic flux associated with any area is given as,

⇒ ϕB = BAcosθ

Where ϕB = magnetic flux, B = magnetic field intensity, A = area, and θ = angle between B and A

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