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23/12/2021 12:41 pm
Topic starter
In a LCR circuit, find the capacitance in order to get maximum power. Given XL = 250Ω ; f = 50Hz.
(a) 10µF
(b) 12.7µF
(c) 20µF
(d) 27.3µF
1 Answer
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23/12/2021 12:56 pm
Correct answer: (b) 12.7µF
Explanation:
Xc = XL for maximum power transfer
Xc = \(\frac{1}{\omega C}\)
C = \(\frac{1}{\omega X_C}\)
= \(\frac{2}{2 \pi f \times 250}\)
= \(\frac{1}{2 \times 3.14 \times 50 \times 250}\)
= 1.27 x 10-5 = 12.7 µF