Question

A power-supply transformer has a turns ratio of 5:1. What is the secondary voltage if the primary is connected to a 120 Vrms source?

Answer 1

Given that,

The number of turns in the primary to secondary coil has a ratio of 5:1. The primary is connected to a 120 Vrms source.

To find,

The secondary voltage.

Solution,

The relation between the number of turns in the primary and the secondary coil and the voltage in the primary and the secondary coil is given by :

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

V₂ is the secondary voltage.

$\dfrac{120}{V_2}=\dfrac{5}{N_2}\\\\V_2=24\ V$

So, the voltage in the secondary coil is 24 Volts.

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Transformer

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Answer 2

Given that,

Turns ratio = 5:1

Primary voltage = 120 V

We need to calculate the secondary voltage

Using relation of number of turns and voltage

$\dfrac{N_{1}}{N_{2}}=\dfrac{V_{1}}{V_{2}}$

Where, $N_{1}$= Number of turns in primary coil

$N_{2}$= Number of turns in secondary coil

$V_{1}$= Voltage in primary coil

$V_{2}$= Voltage in secondary coil

Put the value into the formula

$\dfrac{5}{1}=\dfrac{120}{V_{2}}$

$V_{2}=\dfrac{120}{5}$

$V_{2}=24\ v$

Hence, The secondary voltage is 24 V.

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Topic : transformer

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