Question

A simple circuit contains a switch and three elements in series: a battery ε = 15.0 V, a resistor R = 75.0 kΩ, and a capacitor C = 91.5 nF. If the capacitor is initially uncharged, how long will it take for the voltage across the capacitor to be twice the voltage across the resistor, ΔVc = 2ΔVR?

Name: t6a simple circuit contains switch and three elements in series a battery 150 v a resistor r750 ks and a capacitor 915 nf ifthe capacitor is initially uncharged how long will it take for the 86073
Uploaded: 2022-04-16T06:53:46-08:00
Duration: 2 min 29 s
Channel: Prabhu Ramji
Description: t6a simple circuit contains switch and three elements in series a battery 150 v a resistor r750 ks and a capacitor 915 nf ifthe capacitor is initially uncharged how long will it take for the 86073

          A simple circuit contains a switch and three elements in series: a battery ε = 15.0 V, a resistor R = 75.0 kΩ, and a capacitor C = 91.5 nF. If the capacitor is initially uncharged, how long will it take for the voltage across the capacitor to be twice the voltage across the resistor, ΔVc = 2ΔVR?

Added by Jose Manuel L.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Prabhu Ramji

04/16/2022

Step 1

Step 1: The potential across the capacitor equals 2/3 times the EMF of the battery, so we have: \[ \frac{2}{3} \epsilon = \epsilon (1 - e^{-\frac{t}{RC}}) \] Show more…

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A simple circuit contains a switch and three elements in series: a battery ε = 15.0 V, a resistor R = 75.0 kΩ, and a capacitor C = 91.5 nF. If the capacitor is initially uncharged, how long will it take for the voltage across the capacitor to be twice the voltage across the resistor, ΔVc = 2ΔVR?