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JEE Main 202329 JanuaryEvening Shift
Exam
JEE Main
Year
2023
Date
29 January
Shift
Evening Shift
Subject
Physics
Chapter
Alternating Current

JEE Main 2023 · 29 January · Evening Shift · Physics · Alternating Current

For the given figures, choose the correct options:

For the given figures, choose the correct options:

For the given figures, choose the correct options:

Options

  1. AThe rms current in circuit (b) can never be larger than that in (a)
  2. BThe rms current in figure (a) is always equal to that in figure (b)
  3. CThe rms current in circuit (b) can be larger than that in (a)
  4. DAt resonance, current in (b) is less than that in (a)

Correct answer

A. The rms current in circuit (b) can never be larger than that in (a)

Step-by-step solution

For the given figures, choose the correct options:

For the circuit(a), Z=R=40ΩZ = R = 40Ω. Hence,

Irms=22040=5.5A{I}_{rms} = \dfrac{220}{40} = 5 . 5A

For the given figures, choose the correct options:

XL=2\pifL=2π×50×50×10−3=15.7Ω{X}_{L} = 2\pifL = 2\pi \times 50 \times 50 \times {10}^{- 3} = 15 . 7Ω and XC=12\pifC=12π×50×0.5×10−6=6369Ω{X}_{C} = \dfrac{1}{2\pifC} = \dfrac{1}{2\pi \times 50 \times 0 . 5 \times {10}^{- 6}} = 6369Ω

For the circuit(b), Z=R2+(XL−XC)2>40ΩZ = \sqrt{{R}^{2} + {\left({X}_{L} - {X}_{C}\right)}^{2}} > 40Ω as

XL{X}_{L} is not equal to XC{X}_{C}. So rms current in (b) can never be larger than (a)

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