You are fixing a transformer for a toy truck that uses an 8.0-VV rms voltage to run it. The primary coil of the transformer is broken; the secondary coil has 50 turns. The primary coil is connected to a 120-VV wall outlet. Part A How many turns should you have in the primary coil?

Respuesta :

[tex]V_{s}[/tex] = 16 [tex]V_{rms}[/tex]

[tex]V_{0}[/tex] = 22.67

Explanation:

The number of turns in primary voltage.

[tex]N_{p}[/tex] = 600

The number of turns in secondary coil

[tex]N_{s}[/tex] = 40

The primary coil and secondary coil ratio to number of turns

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

[tex]V_{p}[/tex] = 240 [tex]V_{rms}[/tex]

To calculate [tex]V_{s}[/tex],

[tex]\frac{V_{s} }{240V_{rms} }[/tex] = [tex]\frac{40}{600}[/tex]

[tex]V_{s}[/tex] = 240 [tex]V_{rms}[/tex] × [tex]\frac{40}{600}[/tex]

[tex]V_{s}[/tex] = 16 [tex]V_{rms}[/tex]

To calculate amplitude

[tex]V_{0}[/tex] = [tex]\sqrt{2}[/tex] × [tex]V_{s}[/tex]

[tex]V_{0}[/tex] = [tex]\sqrt{2}[/tex] × 16

[tex]V_{0}[/tex] = 22.67