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In an Alternating Current (AC) circuit, the phase relationship between current and voltage depends on the circuit elements. Match the entries in Colum
Question

In an Alternating Current (AC) circuit, the phase relationship between current and voltage depends on the circuit elements. Match the entries in Column - I with the appropriate relations in Column - II.
Column-I (Type of Circuit): i. Pure Resistance (R), ii. Pure Capacitance (C), iii. Pure Inductance (L), iv. R-L-C Series Circuit
Column-II (Phase Relationship): p. Current leads voltage by 90°, q. Current and voltage are in same phase, r. Current and voltage may or may not be in same phase, s. Current lags voltage by 90°
Select the correct matching option:

A.

i-p, ii-s, iii-q, iv-r 

B.

i-q, ii-p, iii-s, iv-r 

C.

i-q, ii-s, iii-p, iv-r 

D.

i-s, ii-r, iii-p, iv-q 

Correct option is B

The correct answer is (b) i-q, ii-p, iii-s, iv-r

Explanation:

Pure Resistance (i-q): In a purely resistive circuit, the current and voltage are in phase (phase difference = 0°).

Pure Capacitance (ii-p): In a purely capacitive circuit, the current leads the voltage by 90° (or pi/2 radians).

Pure Inductance (iii-s): In a purely inductive circuit, the current lags the voltage by 90°.

R-L-C Series Circuit (iv-r): The phase relationship depends on the values of XL and XC; they may be in phase (at resonance) or have a phase difference.

Information Booster:

A useful mnemonic is CIVIL:

  • In a Capacitor, I (current) leads V (voltage).

  • In an Inductor (L), V (voltage) leads I (current).

The power factor of a purely resistive circuit is 1, while for purely inductive or capacitive circuits, it is 0.

Additional Knowledge:

i-p (Option a) is incorrect because current does not lead voltage in a resistor; it only happens in a capacitor.

So, the correct answer is (b).

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