A controller on an electronic arcade game consists of a variable resistor connected across the plates of a [tex]0.220\mu F[/tex] capacitor. The capacitor is charged to [tex]5.00V[/tex], then discharged through the resistor. The time for the potential difference across the plates to decrease to [tex]0.800V[/tex] is measured by a clock inside the game. If the range of discharge times that can be handled effectivly is from [tex]10.0\mu s[/tex] to [tex]6.00ms[/tex], what should be the resistance range of the resistor?(adsbygoogle = window.adsbygoogle || []).push({});

I have solved the problem and I get a maximum resistance of [tex]27272.7\Omega[/tex] and a minimum resistance of [tex]45.45\Omega[/tex].

But these values seem a bit too large.

The way I did it:

[tex]I = q/t[/tex]

[tex]q = CV[/tex]

so [tex] I = CV/t[/tex]

and [tex]R = V/I[/tex]

and solved it for all 4 cases:

(max voltage, largest discharge time)

(max voltage, smallest discharge time)

(min voltage, largest discharge time)

(min voltage, smallest discharge time)

An found there are two different values for the resistor:

[tex]27272.7\Omega[/tex] and [tex]45.45\Omega[/tex].

Does anyone know if there is anything I have done wrong?

Many thanks

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# Homework Help: Capacitor and Variable resistor

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