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Three students, X, Y and Z performed an experiment for studying the variation of a.c. with frequency in a series LCR circuit and obtained the graphs as shown below. - Physics (Theory)

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Question

Three students, X, Y and Z performed an experiment for studying the variation of a.c. with frequency in a series LCR circuit and obtained the graphs as shown below. They all used

  • an AC source of the same emf and
  • inductance of the same value.

  1. Who used minimum resistance?
  2. In which case will the quality Q factor be maximum?
  3. What did the students conclude about the nature of impedance at resonant frequency (f0)?
  4. An ideal capacitor is connected across 220V, 50Hz, and 220V, 100Hz supplies. Find the ratio of current flowing through it in the two cases.
Answer in Brief

Solution

  1. Resistance used by X is the least and resistance used by Z is the maximum.
  2. Q maximum for X
  3. At resonance impedance is equal to ohmic resistance.
  4. In a capacitor the current is dependent directly on frequency `"I"_1/"I"_2 = 1/2`
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