What is the secondary voltage output if the primary voltage is 480VAC, with the primary coil having 300 turns and the secondary coil having 125 turns?

To find the secondary voltage output in a transformer, you can use the turns ratio formula, which states that the voltage ratio between the primary and secondary coils is equal to the ratio of the number of turns in those coils. This can be expressed mathematically as:

[ \frac{V_s}{V_p} = \frac{N_s}{N_p} ]

Where:

• ( V_s ) is the secondary voltage,

• ( V_p ) is the primary voltage,

• ( N_s ) is the number of turns in the secondary coil,

• ( N_p ) is the number of turns in the primary coil.

In this scenario, you have:

• ( V_p = 480 ) VAC (primary voltage),

• ( N_p = 300 ) turns (primary coil),

• ( N_s = 125 ) turns (secondary coil).

First, plug the values into the formula to find ( V_s ):

[ \frac{V_s}{480} = \frac{125}{300} ]

Now, simplify the right side:

[ \frac{125}{300} = \frac{5}{12} ]

Thus, the equation becomes:

[ \frac{V_s