An LCR series circuit of capacitance 62.5 nF and resistance of 50 Ω. is connected to an A.C. source of frequency 2.0 kHz. For maximum value of amplitude of current in circuit, the value of inductance is mH. (Take .π2=10)

Question

An LCR series circuit of capacitance 62.5 nF and resistance of 50 Ω. is connected to an A.C. source of frequency 2.0 kHz. For maximum value of amplitude of current in circuit, the value of inductance is mH. (Take .π2=10) (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

f =(1/2 π √ LC ) 2000 Hz =(1/2 π √ L × 62.5 × 10-9) L =(1/4 π2 × 20002 × 62.5 × 10-9)=0.1 H =100 mH

Q. An LCR series circuit of capacitance $62.5 n F$ and resistance of $50 Ω$ . is connected to an A.C. source of frequency $2.0 k Hz$ . For maximum value of amplitude of current in circuit, the value of inductance is ___ $m H$ .
(Take $π^{2} = 10)$

$f = \frac{1}{2 π L C}$
$2000 Hz = \frac{1}{2 π L \times 62.5 \times 1 0 ^{- 9}}$
$L = \frac{1}{4 π ^{2} \times 200 0 ^{2} \times 62.5 \times 1 0 ^{- 9}} = 0.1 H = 100 m H$

Q. An LCR series circuit of capacitance 62.5nF and resistance of 50Ω. is connected to an A.C. source of frequency 2.0kHz. For maximum value of amplitude of current in circuit, the value of inductance is ___mH. (Take π2=10)

f=2πLC​1​ 2000Hz=2πL×62.5×10−9​1​ L=4π2×20002×62.5×10−91​=0.1H=100mH

Q. An LCR series circuit of capacitance $62.5 n F$ and resistance of $50 Ω$ . is connected to an A.C. source of frequency $2.0 k Hz$ . For maximum value of amplitude of current in circuit, the value of inductance is ___ $m H$ .
(Take $π^{2} = 10)$

$f = \frac{1}{2 π L C}$
$2000 Hz = \frac{1}{2 π L \times 62.5 \times 1 0 ^{- 9}}$
$L = \frac{1}{4 π ^{2} \times 200 0 ^{2} \times 62.5 \times 1 0 ^{- 9}} = 0.1 H = 100 m H$