## Related questions with answers

A step-down transformer is used for recharging the batteries of portable devices. The turns ratio $N_2/N_1$ for a particular transformer used in a CD player is 1:13. When used with 120-V (rms) household service, the transformer draws an rms current of 250 mA. Find the rms output voltage of the transformer

Solutions

VerifiedGiven values:

$V_{rms}=120 \ \text{V}$ $\dfrac{N_2}{N_1}=1:13$ $I_{rms}=250 \ \text{mA}=250 \cdot 10^{-3} \ \text{A}$

In part $\textbf{a)}$ we have to find rms output voltage of the transformer.

If the primary winding of a transformer has ${N_1}$ turns

and the secondary winding consists of ${N_2}$ turns

and then an input rms voltage $\Delta {V_1}$ is applied to the primary,

the rms voltage in the secondary winding is given by:

$\Delta {V_2} = \dfrac{{{N_2}}}{{{N_1}}}\Delta {V_1}$

The turns ratio

${N_2}/{N_1} = 1:13$

Rms voltage ${V_{rms}} = 120. - {\text V}$

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