please tell me if this is correct,

A step-down transformer has 16000 turns on the primary and 95 turns on the secondary. If the rms emf across the secondary coil is 120 V, what is the maximum emf across the primary coil?

is the answer 28577.69 V ?

120x95/16000

To determine the maximum emf across the primary coil of a step-down transformer, you can use the transformer turn ratio and the given rms voltage across the secondary coil.

The turn ratio (N) can be calculated by dividing the number of turns on the primary coil (N1) by the number of turns on the secondary coil (N2):

N = N1/N2

In this case, N1 = 16000 turns and N2 = 95 turns. So, the turn ratio is:

N = 16000/95 = 168.42

Next, we can use the turn ratio to find the maximum emf across the primary coil (Emax1) based on the rms voltage across the secondary coil (Erms2):

Emax1 = N * Erms2

Plugging in the values, we get:

Emax1 = 168.42 * 120 V = 20,210.4 V

Therefore, the maximum emf across the primary coil is approximately 20,210.4 V. It seems that the answer you provided (28577.69 V) is incorrect.