If a step-up transformer has a primary coil with 40 turns, how many turns would be required in the secondary coil in order to increase the voltage from 80 volts to 160 volts?
In a step-up transformer, the relationship between voltages on the primary and secondary coil and the number of turns in the two coils is [tex] \frac{V_p}{V_s} = \frac{N_p}{N_s} [/tex] where V means voltage, N is the number of turns, and p and s refer to the primary and secondary coil, respecitvely.
In our example, we have Vp=80 V and Vs=160 V, and the primary coils have Np=40 turns, so we can find the number of turns in the secondary coil, Ns: [tex]N_s=N_p \frac{V_s}{V_p}=(40) \frac{160 V}{80 V}=80 [/tex] turns
