Final answer:
The change in the magnetic flux linkage with the other coil when the current in one coil changes from 0 to 20 A in 0.5 seconds with a mutual inductance of 1.5 H is 30 Weber (Wb).
Step-by-step explanation:
When dealing with mutual inductance, it's critical to understand how a changing current in one coil affects the magnetic flux through another coil. This relationship is governed by Faraday's law of induction, which states that the induced electromotive force (emf) in any closed circuit is equal to the negative rate of change of the magnetic flux through the circuit.
In the given scenario, if the current in one coil changes from 0 to 20 A in 0.5 seconds, and the mutual inductance between the two coils is 1.5 H, the change of flux linkage (ΔΦ) with the other coil can be calculated using the formula ΔΦ = M * ΔI. Here, M is the mutual inductance, and ΔI is the change in current.
Thus, ΔΦ = 1.5 H * 20 A = 30 Weber (Wb), which is the change in the magnetic flux linkage due to the current change in the first coil.