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Find the transformer ratios a and b that the impedance (Zin) is resistive and equal 2.5 Ω when the network is excited with a sine wave voltage of angular frequency of 5000 rad/s.
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- a = 0.5, b = 2.0
- a = 2.0, b = 0.5
- a = 1.0, b =1.0
- a = 4.0, b = 0.5
Correct Option: B
From given data :
Xc = – j20 Ω
XL = j5 Ω
| Now , -20 + | = 0 | |
| b2 |
b = 0.5
| Also , Zin = |  | + j5 |  | - j20 | |||
| b2 | a2 |
| ∴ | = 2.5 | |
| a2 b2 |
| ∴ | = 2.5 | |
| a2 (0.5)2 |
| a2 = | ||
| (0.5)2 |
a2 = 4
∴ a = 2
Option (b) is correct.
