Question

A step-down transformer providing electricity for a residential neighborhood has exactly 2750 turns in its primary. When the potential difference across the primary is 5670 V, the potential difference at the secondary is 240 V. How many turns are in the secondary? Show all work.

PLEASE HELP

Answer 1

116 turns

Step-by-step explanation:

Using the Turn ratio formula;

Np/Ns = Vp/Vs = Is/Ip

Where, Np and Ns are the number of turns in the primary and secondary coil respectively.

Vp and Vs are the voltage in the primary and secondary coil respectively.

Ip and Is is the current in the primary and secondary coil respectively.

Np = 2750 turns

Vp = 5670 v

Vs = 240 V

But;

Np/Ns =Vp/Vs

Ns = NpVs/Vp

= (2750 × 240)/5670 v

= 116.402

= 116 Turns