A series AC circuit consist of an inductor and a capacitor. The inductance and capacitance is respectively 1 henry and 25 μ F. If the current is maximum in circuit, then angular frequency will be

Question

A series AC circuit consist of an inductor and a capacitor. The inductance and capacitance is respectively 1 henry and 25 μ F. If the current is maximum in circuit, then angular frequency will be (A) 200 rad/s (B) 100 rad/s (C) 50 rad/s (D) 200/2π rad/ sec

Tardigrade Admin · Accepted Answer

Current in L C circuit becomes maximum when resonance occurs. So ω=(1/√L C) =(1/√1 × 25 × 10-6)=(1000/5) =200 rad/sec

Q. A series AC circuit consist of an inductor and a capacitor. The inductance and capacitance is respectively 1 henry and $25 μ F$ . If the current is maximum in circuit, then angular frequency will be

$200 r a d / s$

$100 r a d / s$

$50 r a d / s$

$200/2 π r a d / sec$

Current in $L C$ circuit becomes maximum when resonance occurs.
So $ω = \frac{1}{L C}$
$= \frac{1}{1 \times 25 \times 1 0 ^{- 6}} = \frac{1000}{5}$
$= 200$ rad/sec

Q. A series AC circuit consist of an inductor and a capacitor. The inductance and capacitance is respectively 1 henry and 25μF. If the current is maximum in circuit, then angular frequency will be

200rad/s

100rad/s

50rad/s

200/2πrad/sec