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(e) The charge on the capacitor is given by q = 6C(1 – e 25 ). And the current follows as I = 3A€¯25. (True, False) (f) The charge on the capacitor and the current through the circuit after 2 time constant are 5.19C and 0.406 A respectively. (True, False) (g) The capacitor at t = 0+ behaves like a conducting wire[with zero resistance] and at t → o like an open circuit[ with infinite resistance]. (True, False)

(e) The charge on the capacitor is given by q = 6C(1 – e 25 ). And the current follows as I = 3A€¯25. (True, False) (f) The charge on the capacitor and the current through the circuit after 2 time constant are 5.19C and 0.406 A respectively. (True, False) (g) The capacitor at t = 0+ behaves like a conducting wire[with zero resistance] and at t → o like an open circuit[ with infinite resistance]. (True, False)

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Figure 1:** The diagram consists of two circuit configurations labeled (A) and (B). **Configuration (A):** - The circuit includes a switch labeled "S." - A 6V battery is connected in series with a 1-ohm resistor and a 1 farad capacitor. - The components are connected in a loop, with the switch enabling or disabling the circuit. **Configuration (B):** - This circuit also includes a switch labeled "S." - A 6V battery is connected in series with a 4-ohm resistor. - The circuit branches out, where a parallel configuration includes a 1 farad capacitor and two resistors (2 ohms and 8 ohms respectively). - The switch position determines whether the circuit is closed or open. **Explanation:** - Both configurations demonstrate simple electrical circuits often used to illustrate fundamental principles of circuit design, including series and parallel configurations, and the effect of capacitors and resistors within a circuit. - Understanding these configurations helps in analyzing how voltage and current behave in various circuit elements.
Transcribed Image Text:**Figure 1:** The diagram consists of two circuit configurations labeled (A) and (B). **Configuration (A):** - The circuit includes a switch labeled "S." - A 6V battery is connected in series with a 1-ohm resistor and a 1 farad capacitor. - The components are connected in a loop, with the switch enabling or disabling the circuit. **Configuration (B):** - This circuit also includes a switch labeled "S." - A 6V battery is connected in series with a 4-ohm resistor. - The circuit branches out, where a parallel configuration includes a 1 farad capacitor and two resistors (2 ohms and 8 ohms respectively). - The switch position determines whether the circuit is closed or open. **Explanation:** - Both configurations demonstrate simple electrical circuits often used to illustrate fundamental principles of circuit design, including series and parallel configurations, and the effect of capacitors and resistors within a circuit. - Understanding these configurations helps in analyzing how voltage and current behave in various circuit elements.
(e) The charge on the capacitor is given by \( q = 6C(1 - e^{-\frac{t}{2s}}) \). And the current follows as \( I = 3Ae^{-\frac{t}{2s}} \). (True, False) (f) The charge on the capacitor and the current through the circuit after 2 time constants are 5.19C and 0.406A respectively. (True, False) (g) The capacitor at \( t = 0^+ \) behaves like a conducting wire [with zero resistance] and at \( t \rightarrow \infty \) like an open circuit [with infinite resistance]. (True, False)
Transcribed Image Text:(e) The charge on the capacitor is given by \( q = 6C(1 - e^{-\frac{t}{2s}}) \). And the current follows as \( I = 3Ae^{-\frac{t}{2s}} \). (True, False) (f) The charge on the capacitor and the current through the circuit after 2 time constants are 5.19C and 0.406A respectively. (True, False) (g) The capacitor at \( t = 0^+ \) behaves like a conducting wire [with zero resistance] and at \( t \rightarrow \infty \) like an open circuit [with infinite resistance]. (True, False)
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