An inductive reactance of 6 ohm is connected in series with a parallel combination of a variable resistor R and a capacitive reactance of 15 ohm across 100V , 50 hz supply.  a. Solve for the frequency so that the magnitude of the inductive reactance is 2 times the magnitude of capacitive reactance. b. Solve for the value of R so that the total current I will be maximum.

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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An inductive reactance of 6 ohm is connected in series with a parallel combination of a variable resistor R and a capacitive reactance of 15 ohm across 100V , 50 hz supply. 

a. Solve for the frequency so that the magnitude of the inductive reactance is 2 times the magnitude of capacitive reactance.

b. Solve for the value of R so that the total current I will be maximum.

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