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The capacitor in an RC circuit is initially uncharged. In
Chapter 21, Problem 86P(choose chapter or problem)
Problem 86P
The capacitor in an RC circuit is initially uncharged. In terms of R and C, determine
(a) the time required for the charge on the capacitor to rise to 50% of its final value and
(b) the time required for the initial current to drop to 10% of its initial value.
Questions & Answers
QUESTION:
Problem 86P
The capacitor in an RC circuit is initially uncharged. In terms of R and C, determine
(a) the time required for the charge on the capacitor to rise to 50% of its final value and
(b) the time required for the initial current to drop to 10% of its initial value.
ANSWER:
Step 1 of 3
(a) Consider is the charge at initial condition and is the charge on the capacitor at final condition.
The charge on the capacitor at final condition is given by,
..................(2)
If the charge on the capacitor increases to we can write the charge on the capacitor at final condition as,