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A capacitor charges from 0% to 40% of its capacity in 200 ms. How long (in seconds) does it take to fully charge (= 99.3%)? t = S

A capacitor charges from 0% to 40% of its capacity in 200 ms. How long (in seconds) does it take to fully charge (= 99.3%)? t = S

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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**Capacitor Charging Time Calculation** A capacitor charges from 0% to 40% of its capacity in 200 ms. How long (in seconds) does it take to fully charge (i.e., to 99.3%)? \[ t = \_\_\_ \text{ s} \] In this scenario, you are asked to calculate the time it takes for the capacitor to reach 99.3% of its full charge capacity. This involves understanding the exponential nature of capacitor charging in RC circuits and using the formula for the time constant to determine the total charging time. - **Initial Charge**: 0% to 40% in 200 ms - **Final Charge**: 99.3% You need to find \( t \), the total time in seconds, for the capacitor to be nearly fully charged. This characterizes typical exponential charging behavior where most of the charge accumulates in a predictable curve, guided by the RC time constant.
Transcribed Image Text:**Capacitor Charging Time Calculation** A capacitor charges from 0% to 40% of its capacity in 200 ms. How long (in seconds) does it take to fully charge (i.e., to 99.3%)? \[ t = \_\_\_ \text{ s} \] In this scenario, you are asked to calculate the time it takes for the capacitor to reach 99.3% of its full charge capacity. This involves understanding the exponential nature of capacitor charging in RC circuits and using the formula for the time constant to determine the total charging time. - **Initial Charge**: 0% to 40% in 200 ms - **Final Charge**: 99.3% You need to find \( t \), the total time in seconds, for the capacitor to be nearly fully charged. This characterizes typical exponential charging behavior where most of the charge accumulates in a predictable curve, guided by the RC time constant.
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