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A coil of inductance 2.0 mH and resistance 4.0ohmsis connected in series with a 0.3µF capacitor. The circuit is connected to a 5.0 V, variable frequency supply. Calculate (a) the frequency at which resonance occurs, (b) the voltage across the capacitance at resonance and (c) the voltage across the coil at resonance.

A coil of inductance 2.0 mH and resistance 4.0ohmsis connected in series with a 0.3µF capacitor. The circuit is connected to a 5.0 V, variable frequency supply. Calculate (a) the frequency at which resonance occurs, (b) the voltage across the capacitance at resonance and (c) the voltage across the coil at resonance.

Physics for Scientists and Engineers: Foundations and Connections
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter33: Inductors And Ac Circuits
Section: Chapter Questions
Problem 57PQ
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Question

A coil of inductance 2.0 mH and resistance

4.0ohmsis connected in series with a 0.3µF

capacitor. The circuit is connected to a 5.0 V,

variable frequency supply. Calculate (a) the

frequency at which resonance occurs, (b) the

voltage across the capacitance at resonance

and (c) the voltage across the coil at resonance.

  1. A series R–L–C circuit having an induc

tance of 0.40 H has an instantaneous voltage,

v

= 60 sin(4000t −

(π/6)) volts and an instan

taneous current,

i =2.0 sin 4000t amperes.

Determine (a) the values of the circuit resis

tance and capacitance and (b) the frequency at

which the circuit will be resonant.

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