Question

Match List-I has four graphs showing variation of opposition to flow of ac versus frequency with circuit characteristic in List-II.

• (A) - (I), (B) - (II), (C) - (III), (D) - (IV)
• (A) - (III), (B) - (IV), (C) - (I), (D) - (II)
• (A) - (I), (B) - (II), (C) - (IV), (D) - (III)
• (A) - (IV), (B) - (III), (C) - (II), (D) - (I)

Answer 1

The Correct Option is D

List I - Opposition to AC and Frequency Relationships

List II - AC Circuit Elements/Concepts

• (A) Constant opposition to AC regardless of frequency: (IV) Resistance
  • Resistance (R) remains constant in an AC circuit, irrespective of the frequency of the applied signal.
• (B) Opposition to AC increases linearly with frequency: (III) Inductive reactance
  • Inductive reactance (X_L) is directly proportional to frequency (f), as given by the formula X_L = 2πfL, where L is the inductance.
• (C) Opposition to AC decreases with increasing frequency: (II) Capacitive reactance
  • Capacitive reactance (X_C) is inversely proportional to frequency (f), as given by the formula X_C = 1/(2πfC), where C is the capacitance.
• (D) Opposition to AC is frequency dependent and combines resistance and reactance effects: (I) Impedance
  • Impedance (Z) is the total opposition to current flow in an AC circuit, which includes both resistance (R) and reactance (X_L and X_C). It is frequency-dependent.

Therefore, the correct matching is:

• A - IV
• B - III
• C - II
• D - I

You have provided a clear and concise explanation for each pairing.