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A circuit connected to an ac source of emf
\( \mathrm{P} \)
\( e=e_{0} \sin (100 t) \) with \( t \) in seconds, gives a phase
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difference of \( \frac{\pi}{4} \) between the emf \( e \) and current \( i \). Which of the following circuits will exhibit this ?
(1) \( R C \) circuit with \( R=1 \mathrm{k} \Omega \) and \( C=1 \mu \mathrm{F} \)
(2) \( R L \) circuit with \( R=1 \mathrm{k} \Omega \) and \( L=\operatorname{lm} H \)
(3) \( R L \) circuit with \( R=1 \mathrm{k} \Omega \) and \( L=10 \mathrm{mH} \)
(4) \( R C \) circuit with \( R=1 \mathrm{k} \Omega \) and \( C=10 \mu \mathrm{F} \)
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