A 45-mH inductor is connected to an ac source of emf with a frequency of 250 Hz and a maximum emf of 20 V. If the voltage across the inductor is +20 V at time t = 0, what is the voltage at time t = 2.0 ms? Assume the phase constant is zero.

The the voltage at time (t) = 2.0 ms is equal to -20 Volts.

Given the following data:

To determine the the voltage at time (t) = 2.0 ms:

In an AC source, the voltage across the inductor is given by the formula:

When time (t) = 2.0 ms:

Voltage = -20 Volts.

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-20v

Explanation:

Data provided in the question as per the given situation

L = 45 mH

f = 250 Hz

V_o = 20V

Based on the above information, let us assume voltage across inductor be V at t

So,

t = 2 ms

Now

The voltage at time t = 2.0 ms is

= -20 volt

= -20v

We simply solved the above equation so that the correct voltage could come