+ V. – R, R2 If V.(t = 2s) = 10V in the circuit shown, find the energy, we stored in the capacitor and the power, P, supplied by the source at t = 6s. Take the values of the components to be C1 = 0.5F, I = 2A, R1 = 3N and R2 = 6N. Wc = P = W

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### Circuit Analysis Problem

In the circuit diagram shown, the task is to find the energy \( w_c \) stored in the capacitor and the power \( P \) supplied by the source at \( t = 6s \). The given parameters are:

- Voltage across the capacitor at \( t = 2s \): \( V_c(t = 2s) = 10V \)
- Capacitance: \( C_1 = 0.5F \)
- Current: \( I_1 = 2A \)
- Resistances: \( R_1 = 3\Omega \), \( R_2 = 6\Omega \)

#### Questions
1. Calculate the energy stored in the capacitor:  
   \[
   w_c = \_\_\_ \text{ J}
   \]

2. Calculate the power supplied by the source:  
   \[
   P = \_\_\_ \text{ W}
   \]

### Explanation of Circuit Elements

- The circuit contains a capacitor \( C_1 \), a current source \( I_1 \), and two resistors \( R_1 \) and \( R_2 \).
- The voltage across the capacitor is noted as \( V_c \), which is given at a specific time.
- These components are arranged in a combination where the resistors are in parallel, and the current source is in series with them.

You can use the standard formulas for calculating energy stored in a capacitor and the power supplied by a source based on these given values.
Transcribed Image Text:### Circuit Analysis Problem In the circuit diagram shown, the task is to find the energy \( w_c \) stored in the capacitor and the power \( P \) supplied by the source at \( t = 6s \). The given parameters are: - Voltage across the capacitor at \( t = 2s \): \( V_c(t = 2s) = 10V \) - Capacitance: \( C_1 = 0.5F \) - Current: \( I_1 = 2A \) - Resistances: \( R_1 = 3\Omega \), \( R_2 = 6\Omega \) #### Questions 1. Calculate the energy stored in the capacitor: \[ w_c = \_\_\_ \text{ J} \] 2. Calculate the power supplied by the source: \[ P = \_\_\_ \text{ W} \] ### Explanation of Circuit Elements - The circuit contains a capacitor \( C_1 \), a current source \( I_1 \), and two resistors \( R_1 \) and \( R_2 \). - The voltage across the capacitor is noted as \( V_c \), which is given at a specific time. - These components are arranged in a combination where the resistors are in parallel, and the current source is in series with them. You can use the standard formulas for calculating energy stored in a capacitor and the power supplied by a source based on these given values.
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