1.

For the parallel resonant circuit given below, the value of the inductive and capacitive reactance is _________(a) XL = 654.289 Ω; XC = 458.216 Ω(b) XL = 985.457 Ω; XC = 875.245 Ω(c) XL = 785.394 Ω; XC = 785.417 Ω(d) XL = 125.354 Ω; XC = 657.215 ΩThe question was posed to me in examination.The above asked question is from Problems of Parallel Resonance Involving Quality Factor topic in section Resonance & Magnetically Coupled Circuit of Network Theory

Answer»

Correct choice is (c) XL = 785.394 Ω; XC = 785.417 Ω

To EXPLAIN: Resonant Frequency, F = \(\frac{1}{2π\sqrt{LC}} \)

= \(\frac{1}{6.28\sqrt{(100×10^{-6})(162.11×10^{-12})}}\)

= \(\frac{1}{6.28\sqrt{1.621×10^{-14}}}\)

= \(\frac{1}{799×10^{-9}}\) = 1.25 MHz.

Inductive REACTANCE, XL = 2πfL = (6.28) (1.25×10^6)(100×10^-6)

= 785.394 Ω

Capacitive Reactance, XC = \(\frac{1}{2πfC} = \frac{1}{(6.28)(1.25×10^6)(162.11×10^{-12})}\)

= \(\frac{1}{1.273×10^{-3}}\) = 785.417 Ω.



Discussion

No Comment Found

Related InterviewSolutions