Find and plot the currents i(t), i¿(t), and i3(t) in the circuit below given is(t) as shown in the plot. Hint: First determine the equivalent inductance that can replace the three inductors. Next, find the voltage across the current source, then, calculate the current in each inductor. iş(t) 1H3liz(t) i,(e)34H 1is(t) 5 H 3 is(t) 10 mA 2 ms 4 ms ------

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**Problem Statement:**

Find and plot the currents \( i_1(t) \), \( i_2(t) \), and \( i_3(t) \) in the circuit below given \( i_s(t) \) as shown in the plot.

**Hint:** First determine the equivalent inductance that can replace the three inductors. Next, find the voltage across the current source, then, calculate the current in each inductor.

**Circuit Diagram:**

- The circuit consists of a current source \( i_s(t) \) and three inductors.
- Inductor values are:
  - \( 4 \, \text{H} \) in the left branch with current \( i_1(t) \),
  - \( 1 \, \text{H} \) in the right branch with current \( i_2(t) \),
  - \( 5 \, \text{H} \) in the right branch with current \( i_3(t) \).

**Graph Description:**

The graph represents the current \( i_s(t) \) over time:
- The x-axis represents time in milliseconds (ms).
- The y-axis represents current in milliamperes (mA).
- The plot shows a triangular waveform:
  - \( i_s(t) \) starts at 0 mA at 0 ms,
  - Rises linearly to 10 mA at 2 ms,
  - Decreases linearly back to 0 mA at 4 ms.
Transcribed Image Text:**Problem Statement:** Find and plot the currents \( i_1(t) \), \( i_2(t) \), and \( i_3(t) \) in the circuit below given \( i_s(t) \) as shown in the plot. **Hint:** First determine the equivalent inductance that can replace the three inductors. Next, find the voltage across the current source, then, calculate the current in each inductor. **Circuit Diagram:** - The circuit consists of a current source \( i_s(t) \) and three inductors. - Inductor values are: - \( 4 \, \text{H} \) in the left branch with current \( i_1(t) \), - \( 1 \, \text{H} \) in the right branch with current \( i_2(t) \), - \( 5 \, \text{H} \) in the right branch with current \( i_3(t) \). **Graph Description:** The graph represents the current \( i_s(t) \) over time: - The x-axis represents time in milliseconds (ms). - The y-axis represents current in milliamperes (mA). - The plot shows a triangular waveform: - \( i_s(t) \) starts at 0 mA at 0 ms, - Rises linearly to 10 mA at 2 ms, - Decreases linearly back to 0 mA at 4 ms.
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