CChegg Study | Guided Solution e LON-CAPA A Timer Circuit x e Other Bookmarks Se

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CChegg Study | Guided Solution e LON-CAPA A Timer Circuit x e Other Bookmarks Secure https://cap29.phy ohi.edu/resohiou physicslib problems 59 CircuitsDC/A%20timer%20circuitproblem?symb-uploaded%2tohiou%2f9b60390fc ::: Apps Apple·tiCloud R Facebook y Twitter WWikipedia M Yahoo-News Popular Imported From Safari Anwaar Ahmed Murad Al Zadjali (Student Main Menu Contents Grades section: 101) Physics 2052/Spring 2018 New Messages Courses Help Logout (-) Timer Notes Feedback-Print 'O Info Course Contents» » This week's homework due Monday March 19» A Timer Circuit Evaluate A Timer Circuit Due in 3 hours, 12 minutes A controller on an electronic arcade game consists of a variable resistor connected across the plates of a 0.54 Fcapacitor. The capacitor is charged to 4.31 V, then discharged through the resistor. The time for the potential difference across the plates to decrease to 0.22 V is measured by a clock inside the game. The range of the discharge time can be handled effectively from 3.0 us to 3.0 ms. What should be the lower value of the resistance range of the resistor? Submit Answer Tries 0/10 What should be the higher value of the resistance range of the resistor? Submit Answer Tries 0/10 Post Discussion Send Feedback

Explanation / Answer

Here ,

C = 0.54 uF

Vo = 4.31 V

Vf = 0.22 V

for discharging the capacitor

Vf = Vo * e^(-t/T)

0.22 = 4.31 * e^(-t/T)

t/T = 1.1247

Now , for t = 3 us

3 *10^-6/(0.54 * 10^-6 * R) = 1.1247

R = 4.94 Ohm

for t = 3 ms

3 * 10^-3/(0.54 * 10^-6 * R) = 1.1247

R = 4.94 kOhm

the range of R must be from 4.94 Ohm to 4.94 Kohm

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