4Ω ww t=0 50 V le -13

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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whta is i(t) for t>0?

The image displays an electrical circuit schematic designed for educational purposes. 

**Circuit Components:**

1. **Voltage Source:** 
   - A 50 V direct current (DC) voltage source is positioned on the left side of the circuit.

2. **Switch:**
   - A switch is indicated with the notation "t = 0", showing the point at which the circuit is activated.

3. **Resistors:**
   - There are two resistors:
     - A 6 Ω resistor is connected in series immediately after the switch.
     - A 4 Ω resistor is connected in parallel with the capacitor.

4. **Capacitor:**
   - A capacitor labeled with a capacitance of \( \frac{1}{25} \) F is situated parallel to the 4 Ω resistor.

5. **Inductor:**
   - An inductor with an inductance of \( \frac{1}{4} \) H is present in the circuit, connected in series towards the end.

6. **Current:**
   - The current moving through the parallel branch containing the 4 Ω resistor and the capacitor is denoted by the symbol \( i \).

**Circuit Configuration:**
- The circuit begins with a 50 V source providing power.
- A switch is included to control the flow of electrical current, indicating that the circuit is initially open until \( t = 0 \).
- Current flows from the voltage source through the 6 Ω resistor, then splits into two paths: one path through the 4 Ω resistor, and another through the capacitor.
- After passing through these components, the paths join back together before reaching the inductor.
- Finally, the current completes the loop back to the voltage source.

This schematic is likely used to study the transient analysis of LC and RC circuits, examining how current and voltage behave over time once the switch is closed at \( t = 0 \).
Transcribed Image Text:The image displays an electrical circuit schematic designed for educational purposes. **Circuit Components:** 1. **Voltage Source:** - A 50 V direct current (DC) voltage source is positioned on the left side of the circuit. 2. **Switch:** - A switch is indicated with the notation "t = 0", showing the point at which the circuit is activated. 3. **Resistors:** - There are two resistors: - A 6 Ω resistor is connected in series immediately after the switch. - A 4 Ω resistor is connected in parallel with the capacitor. 4. **Capacitor:** - A capacitor labeled with a capacitance of \( \frac{1}{25} \) F is situated parallel to the 4 Ω resistor. 5. **Inductor:** - An inductor with an inductance of \( \frac{1}{4} \) H is present in the circuit, connected in series towards the end. 6. **Current:** - The current moving through the parallel branch containing the 4 Ω resistor and the capacitor is denoted by the symbol \( i \). **Circuit Configuration:** - The circuit begins with a 50 V source providing power. - A switch is included to control the flow of electrical current, indicating that the circuit is initially open until \( t = 0 \). - Current flows from the voltage source through the 6 Ω resistor, then splits into two paths: one path through the 4 Ω resistor, and another through the capacitor. - After passing through these components, the paths join back together before reaching the inductor. - Finally, the current completes the loop back to the voltage source. This schematic is likely used to study the transient analysis of LC and RC circuits, examining how current and voltage behave over time once the switch is closed at \( t = 0 \).
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