﻿ A series LCR circuit with L = 0.12 H, C = 480 nF and  is connected to a 230-V variable-frequency supply. What is the source frequency for which current a amplitude is maximum? Find this maximum value. : Kaysons Education

# A Series LCR circuit With L = 0.12 H, C = 480 nF and  is Connected To A 230-V Variable-frequency Supply. What Is The Source Frequency For Which Current a amplitude Is Maximum? Find This Maximum Value.

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## Question

### Solution

Correct option is

4167 rad s–1, 663.5 Hz, 14.14 A

Given

The current amplitude i0 is given by

It is maximum when , that is, at frequency given by

This is the resonant angular frequency. The resonant frequency is

.

The maximum value of current amplitude is

.

#### SIMILAR QUESTIONS

Q1

A 100-V a.c. source of frequency 500 Hz is connected to a series LCRcircuit with L = 8.1 mH. Find the difference across the resistance.

Q2

capacitor, a 0.3-H inductor and a  resistor are connected in series with a 120-60Hz a.c. source. Calculate the impedance of the circuit.

Q3

A circuit containing a 80-mH inductor and a 60- capacitor in series is connected to a 230 V-50 Hz supply. The resistance in the circuit is negligible. Obtain the current amplitude and rms current.

Q4

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Q5

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Q6

A capacitor, a  resistor and a 80-mH inductor are in series with a 50-Hz a.c source. Calculate the capacitance if the current is in phase with the voltage.

Q7

A series L-C circuit has L = 0.405 H and . The resistance R is zero. Find the frequency of resonance.

Q8

In a series L-C-R circuit connected to a variable frequency 220-V source; we have : L = 4.0 H, . Calculate the resonant frequency of the circuit.

Q9

A variable-frequency 230-V alternating voltage source is connected across a series combination of L = 5.0 H,  and . Calculate the angular frequency of the source which drives the circuit in resonance.

Q10

An L C R circuit has L = 10 mH connected in series to a source of  volt. Calculate the current-amplitude and the average power dissipated per cycle at a frequency 10% lower than the resonant frequency.