A new physical quantity X is defined by the relation X = B M , where B is the magnetic induction, M is the magnetic dipole moment, and is the magnetic flux. Which of the following standard physical quantities has the same dimensions as X ?

Step-by-step solution

The given expression is X = B M . We know the fundamental relationships for these magnetic quantities: 1. Magnetic flux = B A , where A is the area. 2. Magnetic dipole moment M = I A , where I is the electric current. Substitute these relations into the expression for X : X = B (I A) B A Canceling the common terms B and A from the numerator and the denominator, we get: X = I Thus, the quantity X has the dimensions of electric current, which is [A] . Answer: Electric current