In the given circuit, find ix() for t> 0. Let R₁ = R2 = 2 k0, R3 = 2 kn, and C= 0.25 mF. 30 mA t=0 The current ix(t) = ww R₂ R₁ + C www R3 5) mA.

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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Question
In the given circuit, find \( i_x(t) \) for \( t > 0 \). Let \( R_1 = R_2 = 2 \, \text{k}\Omega \), \( R_3 = 2 \, \text{k}\Omega \), and \( C = 0.25 \, \text{mF} \).

Diagram Description:
The circuit diagram shows a current source on the left providing 30 mA. There are three resistors: \( R_1 \), \( R_2 \), and \( R_3 \), each \( 2 \, \text{k}\Omega \). A capacitor \( C \) of 0.25 mF is in parallel with \( R_3 \) and \( R_1 \). The switch is labeled \( t=0 \), indicating the initial state of the circuit. The current \( i_x \) is indicated by an arrow flowing through \( R_2 \).

Equation:
The current \( i_x(t) \) is given by the equation with blanks to fill in:

\[ i_x(t) = \_\_\_ + (\_\_\_ (e^{-\_\_\_ t})) \, \text{mA}. \]
Transcribed Image Text:In the given circuit, find \( i_x(t) \) for \( t > 0 \). Let \( R_1 = R_2 = 2 \, \text{k}\Omega \), \( R_3 = 2 \, \text{k}\Omega \), and \( C = 0.25 \, \text{mF} \). Diagram Description: The circuit diagram shows a current source on the left providing 30 mA. There are three resistors: \( R_1 \), \( R_2 \), and \( R_3 \), each \( 2 \, \text{k}\Omega \). A capacitor \( C \) of 0.25 mF is in parallel with \( R_3 \) and \( R_1 \). The switch is labeled \( t=0 \), indicating the initial state of the circuit. The current \( i_x \) is indicated by an arrow flowing through \( R_2 \). Equation: The current \( i_x(t) \) is given by the equation with blanks to fill in: \[ i_x(t) = \_\_\_ + (\_\_\_ (e^{-\_\_\_ t})) \, \text{mA}. \]
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