17. The step response of v,(t) of an RC circuit in the Figure 16 below, given that v = 12V, R, = 60, R2 = 302, and C = 1F, is R1 R2 (a) 10cxp(- 5t) V (b) 10(1 – exp(- 5t) V c) 10exp(- 0.2t) V (d) 10{1- exp(- 0.2t)} V

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

17. The step response of \( v_o(t) \) of an RC circuit in the Figure 16 below, given that \( v = 12V, R_1 = 6\Omega, R_2 = 30\Omega, \) and \( C = 1F, \) is

**Circuit Diagram Description:**

- The circuit consists of a voltage source \( v \) with a value of 12V.
- A resistor \( R_1 \) with a resistance of 6Ω is connected in series with the voltage source.
- A switch is placed after \( R_1 \), in parallel with a resistor \( R_2 \) and a capacitor \( C \).
- \( R_2 \) has a resistance of 30Ω and is in parallel with a capacitor \( C \) with a capacitance of 1F.

**Question Options:**

(a) \( 10 \exp(-5t) \) V

(b) \( 10(1 - \exp(-5t)) \) V

(c) \( 10 \exp(-0.2t) \) V

(d) \( 10(1 - \exp(-0.2t)) \) V

**Graph/Diagram Explanation:**

There is a diagram illustrating the RC circuit with the aforementioned components and their connections. The positive terminal of the capacitor is also indicated as \( v_o \), representing the output voltage.
Transcribed Image Text:**Problem Statement:** 17. The step response of \( v_o(t) \) of an RC circuit in the Figure 16 below, given that \( v = 12V, R_1 = 6\Omega, R_2 = 30\Omega, \) and \( C = 1F, \) is **Circuit Diagram Description:** - The circuit consists of a voltage source \( v \) with a value of 12V. - A resistor \( R_1 \) with a resistance of 6Ω is connected in series with the voltage source. - A switch is placed after \( R_1 \), in parallel with a resistor \( R_2 \) and a capacitor \( C \). - \( R_2 \) has a resistance of 30Ω and is in parallel with a capacitor \( C \) with a capacitance of 1F. **Question Options:** (a) \( 10 \exp(-5t) \) V (b) \( 10(1 - \exp(-5t)) \) V (c) \( 10 \exp(-0.2t) \) V (d) \( 10(1 - \exp(-0.2t)) \) V **Graph/Diagram Explanation:** There is a diagram illustrating the RC circuit with the aforementioned components and their connections. The positive terminal of the capacitor is also indicated as \( v_o \), representing the output voltage.
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