The triangular voltage pulse shown below is applied to a 200 mF capacitor. a) Write the expressions that describe vc(t) in the five time intervals t < 0, 0 ≤ t ≤ 2 , 2 ≤ t ≤ 6, 6 ≤ t ≤ 8, and t > 8. b) Derive the expressions for the capacitor current, power, and energy for the time intervals in part (a).

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The triangular voltage pulse shown below is applied to a 200 mF capacitor. a) Write the expressions that
describe vc(t) in the five time intervals t < 0, 0 ≤ t ≤ 2 , 2 ≤ t ≤ 6, 6 ≤ t ≤ 8, and t > 8. b) Derive the
expressions for the capacitor current, power, and energy for the time intervals in part (a). 

The image presents a graph and a circuit symbol used in electronic studies.

### Graph Description:
- **Axes**: 
  - The vertical axis is labeled \( v_c \) and ranges from -10 to 10.
  - The horizontal axis is labeled \( t \) and ranges from 0 to 8.
- **Plot**:
  - The graph consists of several linear segments:
    - From \( t = 0 \) to \( t = 2 \), the line rises from \( v_c = 0 \) to \( v_c = 10 \).
    - From \( t = 2 \) to \( t = 4 \), the line descends from \( v_c = 10 \) to \( v_c = 0 \).
    - From \( t = 4 \) to \( t = 6 \), the line continues to descend from \( v_c = 0 \) to \( v_c = -10 \).
    - From \( t = 6 \) to \( t = 8 \), the line ascends back to \( v_c = 0 \).

### Circuit Symbol:
- To the right of the graph, there is a circuit symbol consisting of a capacitor:
  - The capacitor voltage is labeled \( v_c \).
  - The current direction is indicated by \( i_c \), moving to the right.

This graph likely represents the voltage across a capacitor over time, showing how it charges and discharges in a circuit. The circuit symbol provides context for the voltage and current directions discussed.
Transcribed Image Text:The image presents a graph and a circuit symbol used in electronic studies. ### Graph Description: - **Axes**: - The vertical axis is labeled \( v_c \) and ranges from -10 to 10. - The horizontal axis is labeled \( t \) and ranges from 0 to 8. - **Plot**: - The graph consists of several linear segments: - From \( t = 0 \) to \( t = 2 \), the line rises from \( v_c = 0 \) to \( v_c = 10 \). - From \( t = 2 \) to \( t = 4 \), the line descends from \( v_c = 10 \) to \( v_c = 0 \). - From \( t = 4 \) to \( t = 6 \), the line continues to descend from \( v_c = 0 \) to \( v_c = -10 \). - From \( t = 6 \) to \( t = 8 \), the line ascends back to \( v_c = 0 \). ### Circuit Symbol: - To the right of the graph, there is a circuit symbol consisting of a capacitor: - The capacitor voltage is labeled \( v_c \). - The current direction is indicated by \( i_c \), moving to the right. This graph likely represents the voltage across a capacitor over time, showing how it charges and discharges in a circuit. The circuit symbol provides context for the voltage and current directions discussed.
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