In a series LCR circuit, the inductance, capacitance and resistance are L =100 mH , C =100 μ F and R =10 Ω respectively. They are connected to an AC source of voltage 220 V and frequency of 50 Hz. The approximate value of current in the circuit will be A.

Question

In a series LCR circuit, the inductance, capacitance and resistance are L =100 mH , C =100 μ F and R =10 Ω respectively. They are connected to an AC source of voltage 220 V and frequency of 50 Hz. The approximate value of current in the circuit will be A. (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

X L =ω L =2 π × 50 × 10-1=10 π X X =(1/ω C )=(1/2 π × 50) × 104=(100/π) R =10 Ω Z =√(10 π-(100/π))2+102 ≃ 10 Ω i =( E /2) ≃ (220/10) ≃ 22 Amp

Q. In a series LCR circuit, the inductance, capacitance and resistance are $L = 100 m H, C = 100 μ F$ and $R = 10 Ω$ respectively. They are connected to an $A C$ source of voltage $220 V$ and frequency of $50 Hz$ . The approximate value of current in the circuit will be ___ $A$ .

$X_{L} = ω L = 2 π \times 50 \times 1 0^{- 1} = 10 π$
$X_{X} = \frac{1}{ω C} = \frac{1}{2 π \times 50} \times 1 0^{4} = \frac{100}{π}$
$R = 10Ω$
$Z = (10 π - \frac{100}{π})^{2} + 1 0^{2} ≃ 10Ω$
$i = \frac{E}{2} ≃ \frac{220}{10} ≃ 22 A m p$

Q. In a series LCR circuit, the inductance, capacitance and resistance are L=100mH,C=100μF and R=10Ω respectively. They are connected to an AC source of voltage 220V and frequency of 50Hz. The approximate value of current in the circuit will be ___A.

XL​=ωL=2π×50×10−1=10π XX​=ωC1​=2π×501​×104=π100​ R=10Ω Z=(10π−π100​)2+102​≃10Ω i=2E​≃10220​≃22Amp

Q. In a series LCR circuit, the inductance, capacitance and resistance are $L = 100 m H, C = 100 μ F$ and $R = 10 Ω$ respectively. They are connected to an $A C$ source of voltage $220 V$ and frequency of $50 Hz$ . The approximate value of current in the circuit will be ___ $A$ .

$X_{L} = ω L = 2 π \times 50 \times 1 0^{- 1} = 10 π$
$X_{X} = \frac{1}{ω C} = \frac{1}{2 π \times 50} \times 1 0^{4} = \frac{100}{π}$
$R = 10Ω$
$Z = (10 π - \frac{100}{π})^{2} + 1 0^{2} ≃ 10Ω$
$i = \frac{E}{2} ≃ \frac{220}{10} ≃ 22 A m p$