SERIES RESONANCE

Introduction | Questions | Quiz

INTRODUCTION

Resonance occurs in a series R-L-C circuit when inductive and capacitive reactances are equal. Resistance does not affect the resonant frequency.

Formula for calculating resonant frequency:

    f = 1 000 000 / 2pi * square root of (LC )
      f = frequency in kilohertz
      L = inductance in microhenrys
      C = capacitance in picofarads
      2pi = 6.28
Note: Use calculator to compute values. Look closely at the values of L and C. If the values are small, the resonant frequency is high and all answers in kHz can be eliminated.

A-001-003-001.... What is the resonant frequency of a series RLC circuit, if R is 47 ohms, L is 50 microhenrys and C is 40 picofarads?
  1. 1.78 MHz
  2. 3.56 MHz
  3. 7.96 MHz
  4. 79.6 MHz
A-001-003-002.... What is the resonant frequency of a series RLC circuit, if R is 47 ohms, L is 40 microhenrys and C is 200 picofarads?
  1. 1.99 kHz
  2. 1.99 MHz
  3. 1.78 kHz
  4. 1.78 MHz
A-001-003-003.... What is the resonant frequency of a series RLC circuit, if R is 47 ohms, L is 50 microhenrys and C is 10 picofarads?
  1. 7.12 kHz
  2. 3.18 MHz
  3. 3.18 kHz
  4. 7.12 MHz
A-001-003-004.... What is the resonant frequency of a series RLC circuit, if R is 47 ohms, L is 25 microhenrys and C is 10 picofarads?
  1. 63.7 MHz
  2. 10.1 kHz
  3. 63.7 kHz
  4. 10.1 MHz
A-001-003-005.... What is the resonant frequency of a series RLC circuit, if R is 47 ohms, L is 3 microhenrys and C is 40 picofarads?
  1. 13.1 MHz
  2. 14.5 MHz
  3. 13.1 kHz
  4. 14.5 kHz
A-001-003-006.... What is the resonant frequency of a series RLC circuit, if R is 47 ohms, L is 4 microhenrys and C is 20 picofarads?
  1. 19.9 MHz
  2. 17.8 MHz
  3. 19.9 kHz
  4. 17.8 kHz
A-001-003-007.... What is the resonant frequency of a series RLC circuit, if R is 47 ohms, L is 8 microhenrys and C is 7 picofarads?
  1. 28.4 MHz
  2. 21.3 MHz
  3. 2.84 MHz
  4. 2.13 MHz
A-001-003-008.... What is the resonant frequency of a series RLC circuit, if R is 47 ohms, L is 3 microhenrys and C is 15 picofarads?
  1. 35.4 MHz
  2. 23.7 MHz
  3. 35.4 kHz
  4. 23.7 kHz
A-001-003-009.... What is the resonant frequency of a series RLC circuit, if R is 47 ohms, L is 4 microhenrys and C is 8 picofarads?
  1. 49.7 MHz
  2. 28.1 MHz
  3. 49.7 kHz
  4. 28.1 kHz
A-001-003-010.... What is the resonant frequency of a series RLC circuit, if R is 47 ohms, L is 1 microhenry and C is 9 picofarads?
  1. 53.1 MHz
  2. 5.31 MHz
  3. 17.7 MHz
  4. 1.77 MHz
A-001-003-011.... What is the value of capacitance (C) in a series RLC circuit, if the circuit resonant frequency is 14.25 MHz and L is 2.84 microhenrys?
  1. 2.2 microfarads
  2. 44 microfarads
  3. 44 picofarads
  4. 2.2 picofarads
QUIZ
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