Question

Two coils with 150 and 200 turns, wound on a closed iron circuit (section 150 cm², mean length 300 cm), determine mutual inductance and induced EMF in the second coil when the current changes from zero to 10A in the first coil in 0.02 seconds. Given the relative permeability of iron.

Answer 1

Mutual inductance is a property of two coils that measures the amount of mutual electromagnetic induction between them. The mutual inductance can be calculated using the formula M = (μ₀N₁N₂A₁A₂)/l. Also, the induced EMF in the second coil can be calculated using the formula EMF = -M(dI/dt).

Step-by-step explanation:

Mutual inductance is a property of two coils that measures the amount of mutual electromagnetic induction between them. It is denoted by the symbol M and is measured in henries (H). The mutual inductance can be calculated using the formula M = (μ₀N₁N₂A₁A₂)/l, where μ₀ is the permeability of free space, N₁ and N₂ are the number of turns in the coils, A₁ and A₂ are the cross-sectional areas of the coils, and l is the mean length of the iron circuit.

Given the information provided, we can calculate the mutual inductance as follows:

Calculate the values for μ₀, N₁, N₂, A₁, A₂, and l using the given data.

Substitute these values into the formula for mutual inductance to find the result.

The induced EMF in the second coil can be calculated using the formula EMF = -M(dI/dt), where dI/dt is the rate of change of current in the first coil. Substituting the values for mutual inductance and the rate of change of current, we can find the induced EMF in the second coil.