If the magnetic field intensity is  and the area vector is , then the magnetic flux associated with the area is:

  1. - 4 wb
  2. 3 wb
  3. - 2 wb
  4. 1 wb

Answer (Detailed Solution Below)

Option 3 : - 2 wb
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Detailed Solution

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CONCEPT:

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

CALCULATION:

Given  and 

We know that the magnetic flux associated with any area is given as,

⇒ ϕB = BAcosθ

⇒ ϕB = -6 + 4

⇒ ϕB = - 2 Wb

  • Hence, option 3 is correct.

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