Inductive, Capacitive Circuit (LC-Circuit)
Category : JEE Main & Advanced
(1) Applied voltage : \[V={{V}_{L}}-{{V}_{C}}\]
(2) Impedance : \[Z={{X}_{L}}-{{X}_{C}}=X\]
(3) Current : \[i={{i}_{0}}\sin \,\left( \omega \,t\pm \frac{\pi }{2} \right)\]
(4) Peak current : \[{{i}_{0}}=\frac{{{V}_{0}}}{Z}=\frac{{{V}_{0}}}{{{X}_{L}}-{{X}_{C}}}\]\[=\frac{{{V}_{0}}}{\omega \,L-\frac{1}{\omega \,C}}\]
(5) Phase difference : \[\phi ={{90}^{o}}\]
(6) Power factor : \[\cos \varphi =0\]
(7) Leading quantity : Either voltage or current
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