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23 Nov 2019

Textbook: Physics 8e, Cutnell and Johnson
Chap 20 Problem 103

/solution/solution/714716

Question:
In a pacemaker, a pulse is delivered to the heart 81 times aminute.The capacitor that controls this pulsing ratedischarges through aresistance of 1.8*10^6 ohm. One pulse isdelivered everytime thefully charged capacitor loses 63.2% of itsoriginal charge. What isthe Capacitance of the Capacitor?

The equation that you suggest is q= q_o e^(-t/RC)

t =.7404
R=1.8*10^6

So to solve I take the (ln q/q_o) and I get 1.44

So the Capacitance should equal -t/(1.8*10^6)(1.44)

The corect answer in the back of the book is 4.1*10^-7 but whenIwork out the problem I keep getting 2.86*10^-7.

Could you please check the math on this problem and let me know ifIam making a mistake or if the answer given is incorrect?

Thank you so much for your time and help!


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Nestor Rutherford
Nestor RutherfordLv2
19 Jan 2019

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