Answered

The batteries in a portable CD player are recharged by a unit that plugs into a wall socket. Inside the unit a step-down transformer with a turns ratio of 2:27. The wall socket provides 120 V. What voltage does the secondary coil of the transformer provide?

Answer :

Explanation:

It is given that,

Turn ratio, [tex]\dfrac{N_s}{N_p}=\dfrac{2}{27}[/tex]

Where

[tex]N_p[/tex] is the number of turns in primary coil

[tex]N_p[/tex] is the number of turns in secondary coil.

Input voltage, [tex]V_i=120\ V[/tex]

We need to find the voltage provided by the secondary coil. The relation is as follows :

[tex]\dfrac{V_o}{V_i}=\dfrac{N_s}{N_p}[/tex]

[tex]\dfrac{V_o}{120}=\dfrac{2}{27}[/tex]

[tex]V_o=8.89\ V[/tex]

So, the voltage provided by the secondary coil is 8.89 volts. Hence, this is the required solution.

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