A series R–L–C circuit having an inductance of 0.40 H has an instantaneous voltage, v = 60 sin(4000t −(π/6)) volts and an instantaneous current, i =2.0 sin 4000t amperes.Determine (a) the values of the circuit resistance and capacitance and (b) the frequency at which the circuit will be resonant.

A series R–L–C circuit having an inductance of 0.40 H has an instantaneous voltage, v = 60 sin(4000t −(π/6)) volts and an instantaneous current, i =2.0 sin 4000t amperes.Determine (a) the values of the circuit resistance and capacitance and (b) the frequency at which the circuit will be resonant.

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter17: Resistive-inductive Series Circuits

Section: Chapter Questions

Problem 2PP: Assume that the voltage drop across the resistor, ER, is 78 V, that the voltage drop across the...

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A series R–L–C circuit having an inductance of 0.40 H has an instantaneous voltage, v = 60 sin(4000t −(π/6)) volts and an instantaneous current, i =2.0 sin 4000t amperes.Determine (a) the values of the circuit resistance and capacitance and (b) the frequency at which the circuit will be resonant. Answer: (a) 26 ohms, 154.8 nF (b) 639.6 Hz