In a transformer with a turns ratio of 1:4 and primary voltage of 20 volts, what is the secondary voltage?

To determine the secondary voltage in a transformer, you can use the transformer equation that relates the primary voltage, secondary voltage, and turns ratio. The basic formula is:

[

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

]

where ( V_p ) is the primary voltage, ( V_s ) is the secondary voltage, ( N_p ) is the number of turns on the primary coil, and ( N_s ) is the number of turns on the secondary coil.

In this scenario, with a turns ratio of 1:4, it indicates that for every 1 turn on the primary coil, there are 4 turns on the secondary coil. Given that the primary voltage is 20 volts, we can calculate the secondary voltage. Since the turns ratio also indicates how the voltage changes, we can rearrange the transformer equation to find ( V_s ):

[

V_s = V_p \times \frac{N_s}{N_p} = V_p \times turns\ ratio

]

Substituting the known values:

[

V_s = 20, volts \times 4 = 80, volts

]

Therefore, the secondary voltage