Question

An ideal transformer has 60 turns in its primary coil and 360 turns in its secondary coil. If the input rms voltage for the 60-turn coil is 120 V, what is the output rms voltage of the secondary coil

a. 240 V
b. 720 V
c. 360 V
d. 480 V
e. 20 V

Answer 1

720 V

Step-by-step explanation:

Given that,

The number of turns in primary coil, N₁ = 60

The number of turns in secondary coil, N₂ = 360

The input rms voltage, V₁ = 120 V

We need to find the output rms voltage of the secondary coil . The relation between number of turns in primary coil - secondary coil to the input rms voltage to the output rms voltage is given by :

`(N_1)/(N_2)=(V_1)/(V_2)\\\\V_2=(N_2V_1)/(N_2)\\\\V_2=(360* 120)/(60)\\\\V_2=720\ V`

So, the output rms voltage of the secondary coil is 720 V. Hence, the correct option is (b).