stephaniechavez313
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A transformer has a primary coil with 225 turns of wire and a secondary coil with 675 turns.

An AC voltage source connected across the primary coil has a voltage given by the function Δv = (200 V)sin(ωt).

What rms voltage (in V) is measured across the secondary coil?

_______V

Respuesta :

temdan2001

The rms voltage that is measured across the secondary coil is 424.3 V approximately.

What is a Transformer ?

A transformer is an electrical device for changing the size of an A.C voltage. It acts to increase or decrease the EMF of an alternating current.

Given that a transformer has a primary coil with 225 turns of wire and a secondary coil with 675 turns. An AC voltage source connected across the primary coil has a voltage given by the function Δv = (200 V)sin(ωt).

Note that 200v is the peak voltage at primary side

The parameters to consider are;

  • Primary turn [tex]N_{p}[/tex] = 225 turns
  • Secondary turn [tex]N_{s}[/tex] = 675 turns
  • Primary voltage [tex]V_{p}[/tex] = 200 v
  • Secondary voltage [tex]V_{s}[/tex] = ?

Substitute all the parameters in the formula below to get the peak voltage at secondary side.

[tex]V_{p}[/tex] / [tex]V_{s}[/tex] = [tex]N_{p}[/tex] / [tex]N_{s}[/tex]

200 / [tex]V_{s}[/tex] = 225 / 675

Reciprocate both sides

[tex]V_{s}[/tex] / 200 = 675 / 225

[tex]V_{s}[/tex] = 200 x 3

[tex]V_{s}[/tex] = 600 V

[tex]V_{rms}[/tex] = [tex]V_{peak}[/tex] / [tex]\sqrt{2}[/tex]

[tex]V_{rms}[/tex] = 600 x 0.7071

[tex]V_{rms}[/tex] = 424.26 V

Therefore, the rms voltage that is measured across the secondary coil is 424.3 V approximately.

Learn more about Transformer here: https://brainly.com/question/6450076

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