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Transcribed Image Text:**Transcription for Educational Website**
**Diagram Explanation:**
The diagram presents an electrical circuit featuring a DC voltage source, a switch, and two branches.
- The left branch includes a series combination of a resistor and an ideal capacitor.
- The right branch includes a series combination of a resistor and an ideal inductor.
The currents flowing through these branches are labeled as \(I_1\) for the capacitive branch and \(I_2\) for the inductive branch.
**Text Explanation:**
The circuit above contains a DC voltage source, a switch, a branch containing a series combination of a resistor and an ideal capacitor, and a branch containing a series combination of a resistor and an ideal inductor. How do the currents (\(I_1\) in the capacitive branch and \(I_2\) in the inductive branch) in the two branches compare as soon as the switch is closed and then at a long time after the switch is closed?
**Options:**
- **(a)** At \(t = 0\) → \(I_1 = \text{max}\), \(I_2 = \text{max}\) + at \(t = \infty\) → \(I_1 = 0\), \(I_2 = 0\)
- **(b)** At \(t = 0\) → \(I_1 = 0\), \(I_2 = 0\) + at \(t = \infty\) → \(I_1 = \text{max}\), \(I_2 = \text{max}\)
- **(c)** At \(t = 0\) → \(I_1 = 0\), \(I_2 = \text{max}\), + at \(t = \infty\) → \(I_1 = \text{max}\), \(I_2 = 0\)
- **(d)** At \(t = 0\) → \(I_1 = \text{max}\), \(I_2 = 0\), + at \(t = \infty\) → \(I_1 = 0\), \(I_2 = \text{max}\)
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