Consider the circuit in the given figure. Find i(t) for t= 0 and t> 0. Assume C= 9 F. t=0 30 52 80 V (+ 40 92 www C= The current i(t) for t=0 is The current i(t) for t> 0 is 0.5i OA. (e-t/ 50 92 ) mA.

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
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Publisher:Robert L. Boylestad
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**Circuit Analysis Problem**

**Problem Statement:**

Consider the circuit in the given figure. Find \( i(t) \) for \( t = 0^- \) and \( t > 0 \). Assume \( C = 9 \, \text{F} \).

*Circuit Description:*

- A voltage source of \( 80 \, \text{V} \) is connected to a series of elements: 
  - A \( 40 \, \Omega \) resistor.
  - A switch that closes at \( t = 0 \).
  - A capacitor labeled \( C \).
  - A dependent current source \( 0.5i \).
  - A \( 30 \, \Omega \) resistor.
  - A \( 50 \, \Omega \) resistor where the current \( i \) is measured.

*Solution:*

- **The current \( i(t) \) for \( t = 0^- \) is:** 0 A.
- **The current \( i(t) \) for \( t > 0 \) is:** \( \_\_\_\_ \, (e^{-t/\_\_\_\_}) \, \text{mA} \).

**Note:** The blanks suggest a need for further calculation or values that must be derived based on the circuit analysis. The analysis involves solving a differential equation related to the RLC circuit for times after the switch is closed.
Transcribed Image Text:**Circuit Analysis Problem** **Problem Statement:** Consider the circuit in the given figure. Find \( i(t) \) for \( t = 0^- \) and \( t > 0 \). Assume \( C = 9 \, \text{F} \). *Circuit Description:* - A voltage source of \( 80 \, \text{V} \) is connected to a series of elements: - A \( 40 \, \Omega \) resistor. - A switch that closes at \( t = 0 \). - A capacitor labeled \( C \). - A dependent current source \( 0.5i \). - A \( 30 \, \Omega \) resistor. - A \( 50 \, \Omega \) resistor where the current \( i \) is measured. *Solution:* - **The current \( i(t) \) for \( t = 0^- \) is:** 0 A. - **The current \( i(t) \) for \( t > 0 \) is:** \( \_\_\_\_ \, (e^{-t/\_\_\_\_}) \, \text{mA} \). **Note:** The blanks suggest a need for further calculation or values that must be derived based on the circuit analysis. The analysis involves solving a differential equation related to the RLC circuit for times after the switch is closed.
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