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NEET-XII-Physics

Question Set with answers year:2021

with Solutions - page 2
Qstn# 27 Prvs-QstnNext-Qstn
  • #27
    An inductor of inductance `` L `` , a capacitor of capacitance `` C `` and a resistor of resistance ' `` R `` ' are connected in series to an ac source of potential difference ' `` V `` ' volts as shown in figure. Potential difference across `` L , C `` and `` R `` is `` 40 V `` , `` 10\, V `` and `` 40 V `` , respectively. The amplitude of current flowing through LCR series circuit is `` 10 \sqrt{2} A `` . The impedance of the circuit is :
    Physics Question Image
    (A) `` 4 \sqrt{2} \Omega ``
    (B) `` 5 / \sqrt{2} \Omega ``
    (C) `` 4\, \Omega ``
    (D) `` 5\, \Omega ``
    digAnsr:   D
    Ans : `` I_{0}=10 \sqrt{2} A ``

    `` I _{ RMS }=\frac{ I _{0}}{\sqrt{2}}=10 A ``

    `` V _{ RMS }=\sqrt{ V _{ R }^{2}+\left( V _{ L }- V _{ C }\right)^{2}} ``

    `` =\sqrt{(40)^{2}+(40-10)^{2}} ``

    `` =50 V ``

    `` Z =\frac{ V _{ RMS }}{ I _{ RMS }}=\frac{50 V }{10 V }=5 \Omega ``