secondary voltage = primary voltage · (secondary turns / primary turns) secondary turns = (secondary voltage / primary voltage) · primary turnssecondary turns = (9600-V AC / 120-V AC) · 100 turnsThe transformer supplying power to an artist's light sculpture provides 9600-V AC when supplied by 120-V AC. If there are 100 turns in the transformer's primary coil, how many turns are there in its secondary coil?

8000 turns

Explanation:

the relation between number of turns of primary and secondary coils and the respective voltages are given as

N1/N2=V1/V2

Where,

•N1 is no. of turns in primary coil

•N2 is no. of turns in secondary coil

•V1 is voltage in primary coil ie, Input voltage

•V2 is voltage in secondary coil ie, Output voltage

from the question we get,

V1=120 V

V2=9600 V

N1=100 turns

N2 = N1 x (V2/V1)

= 100 x (9600/120)

= 100 x 80

= 8000

So, No. of turns in secondary coil = 8000