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Two coupled coils with L1 = L2 = 0.5 H have a coupling coefficient of K = 0.75. The turn ratio N1/N2 =?
  • a)
    4
  • b)
    0.5
  • c)
    2
  • d)
    1
Correct answer is option 'D'. Can you explain this answer?
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Two coupled coils with L1= L2= 0.5 H have a coupling coefficient of K ...
Correct option is D.
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Two coupled coils with L1= L2= 0.5 H have a coupling coefficient of K ...
Given:
- L1 = L2 = 0.5 H (inductance of both coils)
- K = 0.75 (coupling coefficient)

To find:
- Turn ratio N1/N2

Solution:
The turn ratio N1/N2 can be determined using the formula:

K = √(L1/L2)

Given that L1 = L2 = 0.5 H and K = 0.75, we can substitute these values into the formula to find the turn ratio.

Calculation:
K = √(L1/L2)

0.75 = √(0.5/0.5)

0.75 = √1

0.75 = 1

Therefore, the turn ratio N1/N2 is 1.

Explanation:
The turn ratio is a measure of the relative number of turns in the two coils. A turn ratio of 1 indicates that the two coils have an equal number of turns. In this case, since the inductance of both coils is the same and the coupling coefficient is 0.75, it means that the two coils are tightly coupled. Therefore, the turn ratio N1/N2 is 1.
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