NEET 2023 Phase 2 · PhysicsImpedancePrevious Year Question
If Z₁ and Z₂ are the impedances of the given circuits (a) and (b) as shown in figures, then choose the correct option.
Answer: (C) Z₁ < Z₂. Answer: (C) Z₁ < Z₂ Solution: Figure (a) is driven by a 6 V DC source.
- A.Z₁ = Z₂
- B.Z₁ > Z₂
- C.Z₁ < Z₂✓
- D.Z₁ + Z₂ = 20 Ω
Correct Answer
(C) Z₁ < Z₂
Solution & Explanation
Answer: (C) Z₁ < Z₂ Solution: Figure (a) is driven by a 6 V DC source. In the steady state an inductor offers no opposition to direct current (X_L = 0), so Z₁ = R = 10 Ω. Figure (b) is driven by 220 V, 50 Hz AC. Here ω = 100π rad/s and X_C = 1/(ωC) = 1/(100π × 10³/π × 10⁻⁶) = 10 Ω. Z₂ = √(R² + X_C²) = √(10² + 10²) = 10√2 ≈ 14.1 Ω. Since 10 Ω < 14.1 Ω, Z₁ < Z₂.
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