A circuit consists of an inductor and two capacitors all in series. The inductor has a resistance of 10Ω and an inductance of 159μH. The first capacitor has 200pF and the second is a variable capacitor with a wide capacitive range. This series circuit is connected to a 50mV sinusoidal supply of fixed frequency 1MHz. (i) What value of the variable capacitance will be required for a resonance condition  (give the answer in pF)

Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter21: Resistive-capacitive Series Circuits
Section: Chapter Questions
Problem 6RQ: A 15-F AC capacitor is connected in series with a 50 resistor. The capacitor has a voltage rating...
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  1. A circuit consists of an inductor and two capacitors all in series. The inductor has a resistance of 10Ω and an inductance of 159μH. The first capacitor has 200pF and the second is a variable capacitor with a wide capacitive range. This series circuit is connected to a 50mV sinusoidal supply of fixed frequency 1MHz.

(i) What value of the variable capacitance will be required for a resonance condition  (give the answer in pF)?  

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