For instantaneous current in LCR circuit suppose, be the root-mean-square value of current flowing through all the circuit elements.
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Potential difference across Inductor : ............................
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Potential difference across Capacitor : ............................
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Potential difference across Resistor : ............................
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Since, and are in phase. So, is represented by in the direction of .
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The current lags behind the , by angles of . So, is represented by perpendicular to the direction of .
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The current leads by angle of . So, is represented by perpendicular to the direction of .
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Suppose, . Then, resultant of and is given by
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Substituting equation , and in equation we get,
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Hence the expression for instantaneous current in a series has been established.
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Embibe Experts Physics Solutions for Exercise - Jharkhand Board-2018
Simple step-by-step solutions to Jharkhand Board-2018 questions of Alternating Current from EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS. Also get 3D topic explainers, cheat sheets, and unlimited doubts solving on EMBIBE.
Questions from Jharkhand Board-2018 with Hints & Solutions
Define reactance and impedance in A.C. circuits. Derive expression for instantaneous current in a series L-C-R circuit if connected to an alternating emf.