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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.

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)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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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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