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QJEEM23Phc89a: JEE Main 2023 Physics - Class 12 JEEM23Phc89a Solution: For the given figures, choose the correct options :

For the given figures, choose the correct options :

JEE Main 2023 (Online) 29th January Evening Shift Physics - Alternating Current Question 45 English

Multiple Choice Options

  • A The rms current in circuit (b) can be larger than that in (a)
  • B The rms current in figure (a) is always equal to that in figure (b)
  • C The rms current in circuit (b) can never be larger than that in (a)
  • D At resonance, current in (b) is less than that in (a)

Step-by-Step Verified Solution

For (a), i=VR=22040=5.5 Ai = {V \over R} = {{220} \over {40}} = 5.5\,A

for (b), XC=12πfC=12π×50×0.5×10−6=10650πΩ{X_C} = {1 \over {2\pi fC}} = {1 \over {2\pi \times 50 \times 0.5 \times {{10}^{ - 6}}}} = {{{{10}^6}} \over {50\pi }}\Omega

XL=2πfL=2π×50×50×10−3=50π Ω{X_L} = 2\pi fL = 2\pi \times 50 \times 50 \times {10^{ - 3}} = 50\pi \,\Omega

{X_C} > {X_L} , hence impedance is greater than 40 Ω\Omega .

irms=220Z{i_{rms}} = {{220} \over Z}

∴\therefore {\left. {{i_{rms}}} \right|_b} < {\left. {{i_{rms}}} \right|_a}

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