a 90 volt Hz source is connected to 0.1 Henry inductor.what is the current through the inductor?

you forgot the frequency.

anyway, once you have that, just plug in

v = L di/dt

and crank it out.

To determine the current through the inductor, we can use Ohm's Law for inductors, which states that the current through an inductor is equal to the voltage across the inductor divided by the inductance:

I = V / L

where:
I is the current through the inductor,
V is the voltage across the inductor,
L is the inductance of the inductor.

Given that the voltage across the inductor is 90 volts and the inductance is 0.1 Henry, we can substitute these values into the formula:

I = 90 volts / 0.1 Henry
I = 900 Amperes

Therefore, the current through the 0.1 Henry inductor when a 90-volt source is connected to it is 900 Amperes.