If the turn ratio of a transformer is 4000:5 and the primary voltage is 2000 volts, what is the secondary voltage?

To determine the secondary voltage of a transformer based on its turn ratio and the primary voltage, you can use the formula that relates the primary and secondary voltages to the turn ratio.

The turn ratio of a transformer is represented as the ratio of the number of turns in the primary winding to the number of turns in the secondary winding. In this scenario, the transformer has a turn ratio of 4000:5. This means that for every 4000 turns in the primary, there are 5 turns in the secondary.

To find the secondary voltage, you can set up the relationship as follows:

[ \text{Secondary Voltage} = \text{Primary Voltage} \times \left( \frac{\text{Number of turns in Secondary}}{\text{Number of turns in Primary}} \right) ]

Plugging in the values:

• Primary Voltage = 2000 volts

• Turn ratio = 4000:5, which can be expressed as (\frac{5}{4000}) for calculating the secondary voltage.

Now apply the formula:

[ \text{Secondary Voltage} = 2000 \times \left( \frac{5}{4000} \right) ]

Calculating this gives:

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