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JEE Mains · Physics · STD 12 -7. Alternating current

Match List\(-I\) with List\(-II\)
  List\(-I\)   List\(-II\)
\((a)\) Phase difference between current and voltage in a purely resistive \(AC\) circuit \((i)\) \(\frac{\pi}{2} ;\) current leads voltage
\((b)\) Phase difference between current and voltage in a pure inductive \(AC\) circuit \((ii)\) zero
\((c)\) Phase difference between current and voltage in a pure capacitive \(AC\) circuit \((iii)\) \(\frac{\pi}{2} ;\) current lags voltage
\((d)\) Phase difference between current and voltage in an \(LCR\) series circuit \((iv)\) \(\tan ^{-1}\left(\frac{X_{C}-X_{L}}{R}\right)\)
Choose the most appropriate answer from the options given below:

  1. A \((a) -( i ),( b )-( iii ),( c )-( iv ),( d )-( ii )\)
  2. B \((a) -( ii ),( b )-( iv ),( c )-( iii ),( d )-( i )\)
  3. C \((a)-(ii),(b)-(iii),(c)-(iv),(d)-(i)\)
  4. D \((a)-(ii),(b)-(iii), (c)-(i), ( d )-( iv )\)
Verified Solution

Answer & Solution

Correct Answer

(D) \((a)-(ii),(b)-(iii), (c)-(i), ( d )-( iv )\)

Step-by-step Solution

Detailed explanation

\(\tan \phi=\frac{ V _{ L }- V _{ C }}{ V _{ R }}=\frac{ X _{ L }- X _{ C }}{ R }\)