# Does Mutual Inductance Affect Voltage in an Open Circuit?

Master1022
Homework Statement:
You have two coils (eg. in a transformer). The primary coil is connected to a voltage source and the second coil is an open circuit? What is the voltage across the terminals of coil 2?
Relevant Equations:
v = L di/dt
Hi, so my question is basically: Does the mutual inductance from coil 1 show up in the voltage of coil 2 even if coil 2 is an open circuit?

I would think that the answer is yes, as the Mutual inductance depends on the current passing through coil 1? However, the answer scheme seems to ignore the $M_{12} \frac{di_{1}}{dt}$ term and just think about the step-up/down aspect of the voltage.

I would appreciate any help in understanding why this is the case.

I apologise for not providing numbers or anything, but I am just interested in the concept here, rather than any numbers.