Electrical Engineering - Transformers - Discussion

Discussion Forum : Transformers - General Questions (Q.No. 10)
10.
A transformer with a 110 V primary has a 15:1 turns ratio. The load resistance, RL, is 120 . What is the approximate voltage across the load?
7.3 V
73 V
88 V
880 V
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
53 comments Page 1 of 6.

KaushalSingh said:   1 decade ago
@Anand

Formula for step up and step down transformer is same only.
that is given by,
Transformer ratio ====> K=N1/N2=V1/V2=I2/I1-------(1).

Now this question will be raise in your mind that how this formula came. So here it is:

we know that Energy(power) cannot be created and destroyed but it can be transfer from one form/primary side to other form/secondary side.
So Power P=VI
Then in transformer===> V1*I1=V2*I2.

=> V1/V2=I2/I1 = K(let it be)-----(2).

And also we know that,
In a transformer, Volts per Turn coil is constant on both sides.
So=> V1/N1=V2/N2.

=> V1/V2=N1/N2 = K (from (2))-----(3).

Compare 2 and 3.

Transformer ratio K = V1/V2=N1/N2=I2/I1.

KaushalSingh said:   1 decade ago
@Anu.

Here N1:N2 is 15:1 and V1:V2 is 110:V2.

Here N1<N2 clearly shows that no.of turns at secondary side of transformer is less than primary turns of the transformer which shows that it is a step down transformer.

So V2 should be less than V1=110 Volts.

And also we know that,

Transformer ratio, N1/N2=V1/V2=I2/I1=k.

So from above take only N and V.

So N1/N2=V1/V2.

=>15/1 =110/V2.

=>V2=110/15.

=>V2=7.33333 Volts.

Hope all of you agree this one.

Pritul Panchal said:   7 years ago
Given Data:

1. Primary Voltage: 110V.
2. Turns ratio: 15:1 (15=Primary turns, 1=Secondary Turns).

V1/V2 = N1/N2.
110/V2 = 15/1.
110*1/ 15 = V2.
Hence V2 = 7.3V across transformer secondary winding.

Now, load is of 120Ohm connected across the secondary winding.

So, the load will face the same secondary voltage.
(9)

Ritesh sharma said:   1 decade ago
See here the most confusing part is TURN RATIO. Which is a per my knowledge is N2/N1. As it is used in earlier question of this quiz. As per this ratio the answer is 1650. I do not know why people are saying that since the answer 1650 is not there so they are using another formula which is reverse of this.

Sujoy said:   1 decade ago
Since V2/V1 + N2/N1

In the ques, N2/N1 can b either 15: 1 or i: 15 depending on the type of transformer ( step up or step down)

If it is step up it is 15 : 1 &, if it is step down, it is 1 : 15

Solve 4 both values to get V2 and look at the options whch value of V2 falls correct.

Have a nice day !

Pintoo said:   10 years ago
Hello guys,

For step down transformer, turn ratio > 1.

For step down transformer, turn ratio < 1.

Here turn ratio is 15, that means greater than 1 then we can say that this is a step down transformer.

So O/P will be less than 110 volt and formula will be Np/Ns = 15/1.

Shenbalaxmi said:   8 years ago
Here, Turns ratio with Primary is 15:1, So, I take it as N1=15, N2=1.

Normally, Turns ratio formula will be N2/N1.Some times it change accordingly with the question.

v1/v2 = n1/n2
110/v2 = 15/1
v2 = 110/15
v2 = 7.3V(Step down Xr).

But why they gave load resistance value?
(1)

Sundar said:   1 decade ago
@Imran

Given value N1:N2 = 15 : 1 (That is N1 = 15, N2 = 1)

Turns ratio = (N1/N2) = 15/1 (ratio > 1 ; Step down transformer).

As you said, V2/V1 = N2/N1

V2/110v = 1/15

V2 = 110v/15

V2 = 7.3333... volts.

Hope this will help to clear your doubts. Have a nice day!

Prashanth nive.. said:   1 decade ago
Given value N1:N2 = 15 : 1 (That is N1 = 15, N2 = 1).

Turns ratio = (N1/N2) = 15/1 (ratio > 1 ; Step down transformer).

As you said, V2/V1 = N2/N1.

V2/110v = 1/15.

V2 = 110v/15.

V2 = 7.3333... volts.

Hope this will help to clear your doubts. Have a nice day!

Jyotindra said:   1 decade ago
We know k = n2/n1.

And here 15:1 is given,
Therefore k = 15:1.

Or n2/n1 = 15/1 = v2/v1.

So we get v2 = (n2/n1)*v1,

= (15/1)*110 = 1650v answer.

But there is no option. Therefore we go on this way,

n1:n2 = 15:1.

We get v2 = 7.333 v.


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