Answer:
For an LCR circuit driven
at frequency , the given eqn. is
??(i)
Multiplying
both sides by , we get
??.(ii)
Now, = rate of
change of energy stored in inductor
= rate of Joule heating loss
= rate of change of energy
stored in capacitor
= rate at which driving force
pours in energy
Hence,
eqn. (ii) is in the form of conservation of energy statement.
Integrating
both sides of (ii) w.r.t. over one
full cyclewe may write
,
which is possible only when phase diff. between andis an acute angle.
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