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 \(\mathrm{e}\) and the current \(\mathrm{i}\) in the circuit is observed to be \(\pi/4\), as shown in the diagram. If the circuit consists possibly only of \(R-C\) or \(R-L\) or \(L-C\) in series, find the relationship between the two elements.

1
\(R=1\ k\Omega ,C=10\mu F\)
2
\(R=1\ k\Omega ,C=1\mu F\)
3
\(R=1\ k\Omega ,L=10 H\)
4
\(R=1\ k\Omega ,L=1 H\)

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