Electrical Engineering - Transformers - Discussion

Discussion :: Transformers - General Questions (Q.No.16)

16. 

A certain amplifier has 600 internal resistance looking from its output. In order to provide maximum power to a 4 speaker, what turns ratio must be used in the coupling transformer?

[A]. 8
[B]. 0.8
[C]. 0.08
[D]. 80

Answer: Option C

Explanation:

No answer description available for this question.

Shaijuts said: (Jan 9, 2011)  
Pow((Ns/Np),2) = Zs/Zp
ie. pow(k,2) = 4/600
k=sqrt(4/600)
k=0.08

Saritha said: (Aug 24, 2011)  
Here,

Load resistance(destination)=4 ohms
Source resistance=600 ohms

k=(r2/r1)^0.5
=(4/600)^0.5
=0.0816
k=0.0816 ohms

Siri said: (May 24, 2012)  
@Saritha.
Transformation ratio is unit less quantity.
Not measured in ohms.

Manish said: (Jun 21, 2012)  
V2/I2 = 4.

V1/I1 = 600.

V2xI1/V1xI2 = 4/600.

N2 = 4/600N1 = 0.08.

Akash.Bhure said: (Apr 30, 2014)  
Internal resistance(R1)=600 ohms.

Output speaker(R2)=4 ohms.

R1 = R2/K^2.
600 = 4/K^2.
K^2 = 4/600 = 0.0066.
K = sqrt(0.0066) = 0.081.

Love said: (Oct 10, 2014)  
But it is asked to determine turn ratio = 1/K.

Ashim said: (Jan 3, 2015)  
Turns ratio K = N2/N1= sqrt (R2/R1) = sqrt (4/600) = 0.08.

E.Sravani said: (Apr 1, 2015)  
Power = i^2r.

Input power = i1^2r1 = i1^2(600).

Output power = i2^2r2 = i2^2(4).

P(in) = P(out).

i1^2(600) = i2^2(4).

K^2 = (4/600) {(i1/i2)^2 = k^2}.

K = 0.08.

Rakesh Alliwar said: (Jul 3, 2016)  
Yes, 0.08 is the correct answer.

Rajesh said: (Jul 31, 2016)  
Transformer transfer constant power.
V1 * I1 = V2 * I2.
V1 * V1/r1 = V2 * V2/ r2.
V1 ^2 / r1 = V2 ^2 / r2.
Sq of (V2/V1) = r2 / r1.
(V2 / V1) = sq rt of (r2 / r1).
k = sq rt of (4 / 600).
k = 0.081.

Sahal said: (Aug 16, 2016)  
How can we solve the sqrt without a calculator? any one please suggest me.

Mohsin Yaqoob said: (Sep 29, 2016)  
Simple!

Turn ratio = sqr (load impedance/source impedance).
Here load imp is speaker ie, 4ohm and source is 600ohm.
so, sqr (4/600) = 0.08.

Ajit said: (Nov 22, 2016)  
According to me, it's the wrong answer.

The turns ratio = (source impedence/load impedence)^0.5.
Answer = 12.24.

Din said: (Feb 1, 2017)  
As per my knowledge.

Turns ratio = Np/Ns not Ns/Np.
Is/Ip is the turns ratio.

So, I think it is the wrong answers.

Mouneshwara said: (Feb 4, 2017)  
@Din.

Turns ratio ns/np is the correct one.

Amani Naidu said: (Feb 16, 2017)  
No, turns ratio is n1/n2. Transformation ratio is n2/n1.

You are right @Din.

Er Mahesh said: (Apr 12, 2017)  
Thanks a lot @RAJESH & @Sravani.

Suhail said: (Sep 1, 2017)  
Here, K^2=Z1÷Z2.

Nishant said: (Oct 8, 2018)  
I think it is the wrong answers.

Because, turn ratio of the transformer is V1/V2, N1/N2, E1/E2, and I2/I1.
So, transformer transfer constant power.
V1 * I1 = V2 * I2.
V1 * V1/R1 = V2 * V2/ R2.
V1 ^2 / R1 = V2 ^2 / R2.
V1^2/V2^2 = R1/R2,
V1/V2 = Sq. Rt. Of (R1/R2).
We know that T.R:-K = V1/V2
So, K = 600/4 =12.24.

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