Question

A simple RC circuit consists of a 1 μF capacitor in series with a 3,000 Ω resistor connected to a 6V battery and an open switch. Initially, the capacitor is discharged. Once the switch is closed, determine the time it takes for the voltage in the capacitor to be 3.8 V.

Name: a simple rc circuit consists of a 1 microf capacitor in series with a 3000 ohm resistor connected to a 6v battery and an open switch initially the capacitor is discharged once the switch is 72618
Uploaded: 2023-03-20T20:09:44-08:00
Duration: 3 min 12 s
Channel: Nishant Kumar
Description: a simple rc circuit consists of a 1 microf capacitor in series with a 3000 ohm resistor connected to a 6v battery and an open switch initially the capacitor is discharged once the switch is 72618

          A simple RC circuit consists of a 1 μF capacitor in series with a 3,000 Ω resistor connected to a 6V battery and an open switch. Initially, the capacitor is discharged. Once the switch is closed, determine the time it takes for the voltage in the capacitor to be 3.8 V.

Added by James B.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Nishant Kumar

03/20/2023

Step 1

We know that the voltage across the capacitor as a function of time is given by the formula: $V(t) = V_0(1 - e^{-\frac{t}{RC}})$ where $V(t)$ is the voltage across the capacitor at time $t$, $V_0$ is the initial voltage of the battery, $R$ is the Show more…

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A simple RC circuit consists of a 1 μF capacitor in series with a 3,000 Ω resistor connected to a 6V battery and an open switch. Initially, the capacitor is discharged. Once the switch is closed, determine the time it takes for the voltage in the capacitor to be 3.8 V.