Question

If the magnetic flux is expressed in weber, then magnetic induction can be expressed in
(A) $Weber.{m^{ - 2}}$
(B) $Weber.{m^{ - 1}}$
(C) $Weber.m$
(D) $Weber.{m^2}$

Answer 1

Hint:
In physics, every physical quantity has definite SI units in which their numerical values are expressed, we need to find the SI unit of magnetic induction when the SI unit of magnetic flux is given, we will relate the two quantities of magnetic flux and magnetic induction and then will solve for the SI unit of magnetic induction




Complete step by step solution:
In magnetism, magnetic induction is the amount of magnetic field induced in a given region or simply magnetic induction is the amount of magnetic field produced in the given space. In contrast, the magnetic flux is a quantity that is defined as the product of magnetic induction and the surface area of the region through which magnetic flux is needed to be calculated.
Now, since According to the question, we have given that the unit in which magnetic flux is measured is Weber and we know the area is measured in ${m^2}$ which is meter square
So, we have $Flux = B \times A$
Where, B represents magnetic induction and A is the area.
Then, the unit of magnetic induction B will be the unit of Flux divided by the unit of area which will be $B = Weber.{m^{ - 2}}$
Hence, the correct answer is option (A) $Weber.{m^{ - 2}}$




Therefore, the correct option is A.




Note:
It should be remembered that the magnetic flux actually represents the number of magnetic field lines passing through the given region of surface area, more the magnetic flux means more the magnetic field is passing through that region and vice-versa.