Transformer Output Voltage

Introduction to transformer output voltage:

A transformer is a device, which can convert high alternating voltage into low alternating voltage and low alternating voltage into high alternating voltage. The transformer is based on the phenomenon of the mutual induction. If the transformer converts, the high alternating voltage into low alternating voltage it is called the step down transformer and if it converts the low alternating voltage into high alternating voltage it is called the step up transformer.I like to share this Formula of Density with you all through my article.


Construction of Transformer output voltage :


A simple transformer consists of the two coils called primary coil and the other is called the secondary coil. In one of the coil the number of turns of thick, insulated copper wire is less as compared to the other. If the primary coil has more number of turns it behaves like a step down transformer and if the secondary coil has more number of turns it behaves like a step up transformer. If the numbers of turns in the primary coil are Np and the number of turns in the secondary coil are Ns. Let the input voltage is Ep and the output voltage is Es. According to the energy conservation, we get

Ep / Np = Es / Ns = k ( K is called the transformation ratio)

Here we get the output voltage Ep = Es Np / Ns

If Ns < Np then the output voltage is more than the input voltage and the transformer is step up.

If Ns > Np then output voltage is less than input voltage and the transformer is step down.

As the voltage is stepped up or stepped down the current is also reduced or increased in the same ratio.

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Example for the transformer output voltage :


The ratio of the number of turns in the primary and the secondary coil of a step up transformer is 1: 200. It is connected to ac mains of 200 V. Calculate the voltage developed in the secondary coil.

Solution

Here, Np / Ns = 1 / 200, Ep = 200 V

Es / Ep = Ns / Np

Es / 200 = 200 / 1

Es = 40000 Volt.