Question

A transformer has a primary coil with 375 turns of wire and a secondary coil with 1,875 turns. An AC voltage source connected across the primary coil has a voltage given by the function Δv = (130 V)sin(ωt). What rms voltage (in V) is measured across the secondary coil?

Answer 1

The rms voltage (in V) measured across the secondary coil is 459.62 V

Step-by-step explanation:

Given;

number of turns in the primary coil, Np = 375 turns

number of turns in the secondary coil, Ns = 1875 turns

peak voltage across the primary coil, Ep = 130 V

peak voltage across the secondary coil, Es = ?

`(N_P)/(N_s) = (E_p)/(E_s) \\\\E_s = (N_sE_p)/(N_p) \\\\E_s = (1875*130)/(375) \\\\E_s = 650 \ V`

The rms voltage (in V) measured across the secondary coil is calculated as;

`V_(rms) = (V_0)/(√(2) ) = (E_s)/(√(2) ) \\\\V_(rms) = (650)/(√(2) ) = 459.62 \ V`

Therefore, the rms voltage (in V) measured across the secondary coil is 459.62 V