Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

A multipurpose transformer has a secondary coil with several points at which a voltage can be extracted, giving outputs of 5.60, 12.0, and 480 V. (a) The input voltage is 220 V to a primary coil of 230 turns. What are the numbers of turns in the parts of the secondary used to produce the output voltages

Sagot :

Answer:

Explanation:

A multipurpose transformer can act as step up as well as step down transformer according to the desired setting by a user.

When the voltage at the output is greater than the voltage at the input of the transformer then it acts as step-up transformer and vice-versa acting is a step down transformer.

Given that:

input (primary) voltage of the transformer, [tex]V_i=220~V[/tex]

no. of turns in the primary coil, [tex]N_i=230[/tex]

  • When the output voltage is 5.60 V:

[tex]V_o=5.60~V[/tex]

[tex]\frac{N_i}{N_o} =\frac{V_i}{V_o}[/tex]

[tex]\frac{N_o}{230}=\frac{5.60}{220}[/tex]

[tex]N_o=5.85\approx 6[/tex] turns compensating the losses

  • When the output voltage is 12.0 V:

[tex]V_o=12.0~V[/tex]

[tex]\frac{N_i}{N_o} =\frac{V_i}{V_o}[/tex]

[tex]\frac{N_o}{230}=\frac{12.0}{220}[/tex]

[tex]N_o=12.45\approx 13[/tex] turns compensating the losses

  • When the output voltage is 480 V:

[tex]V_o=480~V[/tex]

[tex]\frac{N_i}{N_o} =\frac{V_i}{V_o}[/tex]

[tex]\frac{N_o}{230}=\frac{480}{220}[/tex]

[tex]N_o=501.8\approx 502[/tex] turns compensating the losses