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?

Answer 1

Answer:

Voltage of the secondary coil is 720 volts.

Explanation:

Number of turns in primary coil, N₁ = 60

Number of turns in secondary coil, N₂ = 360

Input rms voltage of primary coil, V₁ = 120 V

We have to find the output rms voltage of the secondary coil. The relationship between the number of coil and voltage is given by :

$\dfrac{N_1}{N_2}=\dfrac{V_1}{V_2}$

$\dfrac{60}{360}=\dfrac{120}{V_2}$

V₂ = output rms voltage of the secondary coil.

After solving above equation, we get :

V₂ = 720 V

Hence, the output rms voltage of the secondary coil is 720 volts.