In LC circuit the inductance L=40 mH and capacitance C=100 μF . If a voltage Vt=10sin314 t is applied to the circuit, the current in the circuit is given as
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a
5.2cos314 t
b
0.52cos314t
c
10cos314t
d
0.52sin314 t
answer is B.
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Detailed Solution
XL=wL =314×40×10−3=12560×10−3 =12.56ΩXC=1wc=1314×100×10−6 =1000314 =31.84ΩPhaser diagramVmax=imaxXC−XL ⇒10=imax31.84−12.56⇒imax=1019.28=0.52 Since, XC>XL Current leads the voltage by π 2 i=imaxsinwt+π2=0.52sin314t+π2=0.52cos314t