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In the circuit shown below, the switch is kept in position 'a' for a long time and is then thrown to position 'b'. The amplitude of the resulting oscillating current is given by |
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Answer» `E sqrt(L//C)`  Charge on capacitor, q = CE. ENERGY stored in capacitor, `U=(q^(2))/(2C)` When switch is thrown to position b, there is an LC oscillating circuit. Suppose amplitude of current in LC circuit is `I_(0)`. Using energy conservation principle, Maximum electrical energy = Maximum magnetic energy `(q^(2))/(2C)=(1)/(2)LI_(0)^(2)RARR (C^(2)E^(2))/(C )=LI_(0)^(2), therefore I_(0)=E sqrt((C )/(L))` |
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