Answer to Question #209628 in Classical Mechanics for Rae

Question #209628

a) The resistor of an RC circuit has a resistance of 10 MΩ, the time constant is 1 s. What is the capacity of the capacitor? b) To what percent of the original value does the voltage of the capacitor decrease in 2 s?


1
Expert's answer
2021-06-23T09:31:13-0400

a)

"C=\\frac{T}{2\\pi R}=\\frac{1}{2\\cdot 3.14\\cdot 10\\cdot 10^6}=15.9~nF,"

b)

"R=\\frac{T'}{2\\pi}(\\frac{1}{C'}-\\frac 1C),\\implies"

"C'=(\\frac 1C+\\frac{2\\pi R}{T'} )^{-1}=6.36~nF,"

"p=1-\\frac{C'}{C}=0.6=60\\%."


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