Use the equivalent circuit method to find and sketch v(t) for all in the circuit below. 1 μF. 300 Ω t=0 300 £2 900 £2 0.4 A

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**Transcription of Educational Circuit Problem:**

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**Problem 6:** Use the equivalent circuit method to find and sketch \( v(t) \) for all \( t \) in the circuit below.

**Circuit Description:**

- **Components:**
  - Capacitor: \( 1 \, \mu F \)
  - Resistors: Two \( 300 \, \Omega \) resistors and one \( 900 \, \Omega \) resistor
  - Current Source: \( 0.4 \, A \)

- **Configuration:**
  - The circuit has a switch that is labeled as \( t = 0 \). This switch is connected in series with one of the \( 300 \, \Omega \) resistors.
  - The \( 1 \, \mu F \) capacitor and the other \( 300 \, \Omega \) and \( 900 \, \Omega \) resistors form a parallel branch.
  - The circuit is also connected with a voltage measurement across the \( 900 \, \Omega \) resistor, with \( v(t) \) denoted across it.
  - The \( 0.4 \, A \) current source is connected in parallel with the voltage measurement.

**Objective:**
- Determine and sketch the voltage \( v(t) \) across the 900 Ω resistor for all times \( t \) using the equivalent circuit method.

**Note:**
Detailed analysis requires knowledge of circuit analysis techniques such as solving differential equations and applying Kirchhoff’s laws to find the voltage across the specified components. This problem likely involves analyzing the circuit before and after the switch is opened at \( t = 0 \).
Transcribed Image Text:**Transcription of Educational Circuit Problem:** --- **Problem 6:** Use the equivalent circuit method to find and sketch \( v(t) \) for all \( t \) in the circuit below. **Circuit Description:** - **Components:** - Capacitor: \( 1 \, \mu F \) - Resistors: Two \( 300 \, \Omega \) resistors and one \( 900 \, \Omega \) resistor - Current Source: \( 0.4 \, A \) - **Configuration:** - The circuit has a switch that is labeled as \( t = 0 \). This switch is connected in series with one of the \( 300 \, \Omega \) resistors. - The \( 1 \, \mu F \) capacitor and the other \( 300 \, \Omega \) and \( 900 \, \Omega \) resistors form a parallel branch. - The circuit is also connected with a voltage measurement across the \( 900 \, \Omega \) resistor, with \( v(t) \) denoted across it. - The \( 0.4 \, A \) current source is connected in parallel with the voltage measurement. **Objective:** - Determine and sketch the voltage \( v(t) \) across the 900 Ω resistor for all times \( t \) using the equivalent circuit method. **Note:** Detailed analysis requires knowledge of circuit analysis techniques such as solving differential equations and applying Kirchhoff’s laws to find the voltage across the specified components. This problem likely involves analyzing the circuit before and after the switch is opened at \( t = 0 \).
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