Question

Draw the connection diagram of Step up transformer by considering the number of turns in one winding is 13.4 and number of turns in another winding is 50, if we give 20V supply voltage to primary winding find out the voltage across secondary winding​

Answer 1

Answer:

Correct option is

C

200 V, 50 Hz

Given,The number of turns in primary winding is Np=500

The number of turns in secondary winding is Ns=5000

The voltage of primary coil is Vp=20V

Let the voltage of secondary coil be Vs

We have,

NpNs=VpVs

Vs20=5000500

⇒Vs=200V

Frequency remains the same, Therefore secondary winding will have an output of 200Vand 50Hz

Therefore option C is correct

Explanation:

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Answer 2

Given:

Number of turns in one of the winding = 13.4

Number of turns in another winding  = 50

Voltage to the primary (V₁) = 20 V

To find:

Voltage across secondary winding.

Explanation:

• A transformer is a device for altering the input voltages. Broadly classifying, transformers are of two types, Step up transformer and Step down transformer.
• A step up transformer is the one in which number of primary winding is less than number of secondary winding $($$N_{P}$ < $N_{S}$$)$. Thus, this type of transformer, increases or steps up the input voltage to a larger value.
• Whereas, a step down transformer is the one in which number of number of primary winding is more than number of primary winding $($ $N_{P}$ > $N_{S}$ $)$. This type of transformer, hence, decreases or steps down the larger input voltage to a lower value.
• Transformers are used on overhead long distance transmission cables such as the one brought into our home is a step down transformer as the main overhead cable has thousands of voltage of electricity which has to be lowered to 240V for home use.
• A simple relation between primary voltage $(V_{P} )$ and secondary voltage $(V_{S} )$ with primary winding $(N_{P} )$ and secondary winding $(N_{S} )$ is

                                 $N_{P} V_{P} I_{P}= N_{S} V_{S} I_{S}$      

       Where, $I_{P}$ and $I_{S}$ is the current through primary and secondary winding respectively.    

Solution:

According to the question,

It is given that the transformer is Step up transformer,

Hence, in the transformer given in the question, the number of winding in secondary will be greater than primary.

Therefore,  $N_{S}$ > $N_{P}$

Now, we have,

$N_{P}=13.4$     $;$  $N_{S}=50$   $;$  $V_{P}=20V$  

Substituting the given values in the equation, we get

$\frac{N_{P} }{N_{S} }= \frac{V_{P} }{V_{S} }$

$\frac{13.4}{500}=\frac{20}{V_{S} }$

Therefore,

$V_{S}=74.6V$

Final answer:

Hence, the voltage across secondary winding will be 74.6 V.

For the diagram, please refer to the attached image below