When an AC source of emf \( \mathrm{e}=\mathrm{E}_{0} \sin (100 \mathrm{t}) \) is connected acro....

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When an AC source of emf \( \mathrm{e}=\mathrm{E}_{0} \sin (100 \mathrm{t}) \) is connected across a circuit the phase difference between the emf e and the current I in the circuit is
\( \mathrm{P} \)
observed to be \( \frac{\pi}{4} \) as shown in the diagram. If the circuit consists possibly only of R-C or R-L in series, find the relationship between the two elements:
(1) \( \mathrm{R}=1 \mathrm{k} \Omega, \mathrm{C}=10 \mu \mathrm{F} \)
(2) \( \mathrm{R}=1 \mathrm{k} \Omega, \mathrm{C}=1 \mu \mathrm{F} \)
(3) \( \mathrm{R}=1 \mathrm{k} \Omega, \mathrm{L}=10 \mathrm{H} \)
(4) \( \mathrm{R}=1 \mathrm{k} \Omega, \mathrm{L}=1 \mathrm{H} \)


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