For the given figure, choose the correct option.

For the given figure, choose the correct option.
  1. The r.m.s. current in circuit (B) can never be greater than that in circuit (A)
  2. The r.m.s. current in circuit (A) is always equal to that in circuit (B)
  3. The r.m.s. current in circuit (B) can be greater than in circuit (A)
  4. At resonance, current in (B) is less than that in circuit (A)

Solution

As the impedance of the circuit (B) is clearly more than that of circuit (A), the current in the circuit (B) will always be less than that in circuit (A). Also, at resonance, $\mathrm{X}_{\mathrm{L}}=\mathrm{X}_{\mathrm{C}}$ and the impedance of circuit $(B), Z_B=Z_A . \Rightarrow I_B=I_A$. Hence, the option (A) is the only correct option.

Asked in: MHT CET 2024 (04 May Shift 1)

Practice more AC Circuits questions on Aicharya