Simple circuits with capacitors You and your friend are trying to figure out if you can use a capacitor to extend battery life in circuitry. You suggest a test with a simple circuit consisting of a capacitor, initially uncharged, connected to a battery through a switch. To "see" the energy coming out of the battery, you put a light bulb in series with the capacitor. Your friend believes that when the switch is closed the capacitor charges and the bulb gets brighter and brighter until it reaches its maximum. The bulb then stays that way until the switch is opened. Do you agree? How do you think the brightness of the bulb varies over time? Explain, assuming the capacitor is initially discharged. Plot a graph of bulb brightness versus time, assuming the capacitor is initially discharged. What is the mathematical expression describing the electrical power dissipated in the bulb? What is the relationship between the power dissipated in the bulb and its brightness? Again, plot a graph expressing the charge of the capacitor as a function of time, assuming that the capacitor is initially discharged.

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Simple circuits with capacitors
You and your friend are trying to figure out if you can use a capacitor to extend battery life in circuitry. You suggest a test with a simple circuit consisting of a capacitor, initially uncharged, connected to a battery through a switch. To "see" the energy coming out of the battery, you put a light bulb in series with the capacitor. Your friend believes that when the switch is closed the capacitor charges and the bulb gets brighter and brighter until it reaches its maximum. The bulb then stays that way until the switch is opened. Do you agree?

How do you think the brightness of the bulb varies over time? Explain, assuming the capacitor is initially discharged.
Plot a graph of bulb brightness versus time, assuming the capacitor is initially discharged.

What is the mathematical expression describing the electrical power dissipated in the bulb? What is the relationship between the power dissipated in the bulb and its brightness?
Again, plot a graph expressing the charge of the capacitor as a function of time, assuming that the capacitor is initially discharged.

AV
11
A
light bulb
с
12
V₂
V₁
Transcribed Image Text:AV 11 A light bulb с 12 V₂ V₁
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