In a step-down transformer with a primary coil of 10 turns and a secondary voltage of 48 volts, how many turns does the secondary coil have?

In understanding the function of a step-down transformer, it's essential to reference the relationship between the number of turns in the primary coil and the secondary coil, as well as the relationship between their voltages. The formula that governs this relationship is given by:

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

where ( V_p ) and ( V_s ) are the primary and secondary voltages, and ( N_p ) and ( N_s ) are the number of turns in the primary and secondary coils, respectively.

In this scenario, you have a primary coil with 10 turns and a secondary voltage of 48 volts. Since it is a step-down transformer, the voltage in the secondary coil is less than the primary voltage. Assuming the primary voltage is greater than 48 volts, you can calculate the secondary turns by rearranging the formula.

Let’s denote the primary voltage as ( V_p ). While it's not provided, you can still set it up as follows for a generic calculation:

1. Rearrange the formula to solve for ( N_s ):

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

2