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80. The applied voltage of a certain transformer isincreased by 75%; while the frequency of the applied voltage is reduced by 25%. Themaximum core flux density will :
- a)increase by seven times.
- b)increase by three times.
- c)reduce to one quarter.
- d)remain the same
Correct answer is option 'B'. Can you explain this answer?
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80. The applied voltage of a certain transformer isincreased by 75%; w...
Ans.
As we know that maximum core flux density is always proportional to the ratio of applied voltage by frequency.
i.e B max is proportional to (V/f)
In terms of percentage
(∆B max/B max)*100=(∆v/v)*100-(∆f/f)*100
Here (∆v/v)*100=75%
(∆f/f)*100= -25%(since it is decreased)
Therefore (∆B max/B max)*100= 75-(-25)=100%
So B max increases by 100%
Most Upvoted Answer
80. The applied voltage of a certain transformer isincreased by 75%; w...
Explanation:
Therefore, the correct option is B.
- The maximum core flux density of a transformer is given by Bmax = V / (4.44 f N A), where V is the applied voltage, f is the frequency, N is the number of turns, and A is the cross-sectional area of the core.
- When the applied voltage is increased by 75%, the new voltage V' = V + 0.75 V = 1.75 V.
- When the frequency is reduced by 25%, the new frequency f' = f - 0.25 f = 0.75 f.
- Substituting these values in the equation for Bmax, we get Bmax' = 1.75 V / (4.44 x 0.75 f N A) = (2.33 V) / (4.44 f N A).
- Comparing this with the original value of Bmax, we get Bmax' / Bmax = (2.33 V) / (4.44 f N A) x (4.44 f N A) / V = 2.33 / 1 = 2.33.
- Therefore, the maximum core flux density will increase by three times (2.33 times).
Therefore, the correct option is B.
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80. The applied voltage of a certain transformer isincreased by 75%; while the frequency of the applied voltage is reduced by 25%. Themaximum core flux density will :a)increase by seven times.b)increase by three times.c)reduce to one quarter.d)remain the sameCorrect answer is option 'B'. Can you explain this answer?
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