Answer:
1. The number of turns on the secondary output is 18
2. The root mean square power delivered to the transformer is 48 Watts.
Explanation:
A transformer is an electronic device that can be used for increasing or decreasing the value of a given voltage. It consists of primary coils and secondary coil of a definte number of turns. When voltage flows in the primary coil, it induces voltage in the secondary coil. The two types are: step-up and step down transformers.
1. For a given transformer,
[tex]\frac{V_{s} }{V_{p} }[/tex] = [tex]\frac{N_{s} }{N_{p} }[/tex]
where [tex]V_{s}[/tex] is the value of the induced voltage in the secondary coil, [tex]V_{p}[/tex] is he voltage in the primary coil, and [tex]N_{s}[/tex] is the number of turns of the secondary coil, [tex]N_{p}[/tex] is the number of turns in the primary coil.
From the question,
[tex]V_{s}[/tex] = 9.0 V, [tex]V_{p}[/tex] = 120 V, [tex]N_{p}[/tex] = 240, [tex]N_{s}[/tex] = ?
So that,
[tex]N_{s}[/tex] = [tex]\frac{V_{s}*N_{p} }{V_{p} }[/tex]
= [tex]\frac{9 * 240}{120}[/tex]
= 18
The number of turns on the secondary output is 18.
2. [tex]Power_{rms}[/tex] = [tex]I_{rms}[/tex] × [tex]V_{rms}[/tex]
= 0.4 × 120
= 48 W
The rms power delivered to the transformer is 48 Watts.
