Capacitors
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1. A controller on an electronic arcade game consists of a variable resistor connected across the plates of a 0.22 micro Farad capacitor. The capacitor is charged to 5.00V, then discharged through the resistor. The time for the potential difference across the plates to decrease to 0.800V is measured by a clock inside the game.If the range of discharge times that can be handled effectively is from 10.0 micro ssec to 6.00 milli sec, what should be the (a) lower value and (b) higher value of the resistance range of the resistor?
2. An intially uncharged capacitor C is fully charged by a device of constant emf connected in series with a resistor R. (a)Show that the final energy stored in the capacitor is half the energy supplied by the emf device.(b) By direct integration of i^2R over the charging time, show that the thermal energy dissipated by the resistor is also half the energy supplied by the emf device.
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A step by step solution provided. The expert examines the capacitors of electronics.
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1. A controller on an electronic arcade game consists of a variable resistor connected across the plates of a 0.22 μF capacitor. The capacitor is charged to 5 V, then discharged through the resistor. The time for the potential difference across the plates to decrease to 0.8 V is measured by a clock inside the game. If the range of discharge times that can be handled effectively is from 10.0 μs to 6.00 ms, what should be the (a) lower value and (b) higher value of the resistance range of the resistor?
Solution : A capacitor with capacitance C, carrying charge Q and potential difference V is discharged through a resistance R. The potential at any time t is given by the equation :
V = Voe-t/RC
In the given problem, Vo = 5 V and V ...
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