Question

at what rate would it be necessary for a single conductor to cut the flux in order that current of 1.2 mA flows through it when 10 ohm resistance is connected across its ends?​

Answer 1

Given: A current of 1.2 mA flows through a conductor when 10 ohm resistance is connected across its ends.

To find: Rate at which it will be necessary for a single conductor to cut the flux.

Solution:

• Rate of flux is equal to the emf of the conductor which is, in turn, equal to the product of the current and resistance in the conductor.

        $\frac{d \phi}{dt} = e = RI$

• Here, dΦ/dt is the change in flux of the conductor, e is the emf of the conductor, R is the resistance connected across the ends of the conductor and I is the current flowing through it.
• The current is given as 1.2 mA, which is equal to 1.2 × 10⁻³A.
• So, the rate of flux is,

        $\frac{d \phi}{dt} = 10 * 1.2 * 10^{-3}$

             $= 1.2 * 10^{-2} Wb/s$

Therefore, at 1.2 × 10⁻² Wb s⁻¹ it would be necessary for a single conductor to cut the flux.