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NEET
Exam
NEET
Subject
Physics
Chapter
Alternating Current

NEET · Physics · Alternating Current

Given below are two statements: Statement I: In an LCR series...

Given below are two statements: Statement I: In an LCR series circuit, current is maximum at resonance. Statement II: Current in a purely resistive circuit can never be less than that in a series LCR circuit when connected to same voltage source. In the light of the above statements, choose the correct from the options given below:

Options

  1. AStatement I is false but Statement II is true
  2. BStatement I is true but Statement II is false
  3. CBoth Statement I and Statement II are true
  4. DBoth Statement I and Statement II are false

Correct answer

C. Both Statement I and Statement II are true

Step-by-step solution

Statement-I Im=VmR2+(XL−XC)2I_m=\frac{V_m}{\sqrt{R^2+\left(X_L-X_C\right)^2}} at resonance XL=XCX_L=X_C Thus, Im=VmRI_m=\frac{V_m}{R} ∵\because Impendence is minimum therefore II is maximum at resonance.
Statement-II I=(VR)\mathrm{I}=\left(\frac{\mathrm{V}}{\mathrm{R}}\right) in purely resistive circuit.
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