The circuit above contains a Dc voltage source, a Switch; resistor t an ideal branch containing a Series Combination of a Capacitor + a breanch containing a series combination of a resistor and an ideal inductor. How do the corrents (I, in capacitive banch and 1 in inductive branch) in the two branches Compare as Soon as the switch is closed t then ata long ime after the Switeh is closed. @ at t=0→L,= max, Is=max + at t=0→工=0,Iュ=0 att=0→Iこの,エ=0+ att=のしIiemax, Iz=max Oat t- 0I=0,Ig=max, t at t=00I=max, In=0 Dat t-o →I, = max, Is-0,t at t= o7,=0,I2=max

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**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 \(t = \infty\) → \(I_1 = 0\), \(I_2 = \text{max}\)
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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