An inductor of 0.5 mH, a capacitor of 200 μ F and a resistor of 2 Ω are connected in series with a 220 V ac source. If the current is in phase with the emf, the frequency of ac source will be × 102 Hz.

Question

An inductor of 0.5 mH, a capacitor of 200 μ F and a resistor of 2 Ω are connected in series with a 220 V ac source. If the current is in phase with the emf, the frequency of ac source will be × 102 Hz. (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

If Current is in phase with emf then the frequency of source =(1/2 π √ LC ) (Resonant frequency) (1/2 π √(1)2 × 10-3 × 2 × 10-4) =(1/2 π) × √10 × 1000=500 Hz

Q. An inductor of $0.5 m H$ , a capacitor of $200 μ F$ and a resistor of $2 Ω$ are connected in series with a $220 V$ ac source. If the current is in phase with the emf, the frequency of ac source will be ______ $\times 1 0^{2} Hz$ .

If Current is in phase with emf then the frequency of source
$= \frac{1}{2 π L C}$ (Resonant frequency)
$\frac{1}{2 π \frac{1}{2} \times 1 0 ^{- 3} \times 2 \times 1 0 ^{- 4}}$
$= \frac{1}{2 π} \times 10 \times 1000 = 500 Hz$

Q. An inductor of 0.5mH, a capacitor of 200μF and a resistor of 2Ω are connected in series with a 220V ac source. If the current is in phase with the emf, the frequency of ac source will be ______×102Hz.

If Current is in phase with emf then the frequency of source =2πLC​1​ (Resonant frequency) 2π21​×10−3×2×10−4​1​ =2π1​×10​×1000=500Hz

Q. An inductor of $0.5 m H$ , a capacitor of $200 μ F$ and a resistor of $2 Ω$ are connected in series with a $220 V$ ac source. If the current is in phase with the emf, the frequency of ac source will be ______ $\times 1 0^{2} Hz$ .

If Current is in phase with emf then the frequency of source
$= \frac{1}{2 π L C}$ (Resonant frequency)
$\frac{1}{2 π \frac{1}{2} \times 1 0 ^{- 3} \times 2 \times 1 0 ^{- 4}}$
$= \frac{1}{2 π} \times 10 \times 1000 = 500 Hz$