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Magazine Problem 85
A proton has an initial speed of \(4.0 \times 10^{5} \mathrm{~m} / \mathrm{s}\). What potential difference is required to bring the proton to rest?
Problem 90
Two capacitors have the same charge on their plates. Capacitor 1 has a greater voltage between its plates than capacitor 2 . Is the capacitance of capacitor 1 greater than, less than, or equal to the capacitance of capacitor 2? Explain.
Problem 91
In the water-bucket analogy to capacitors, what corresponds to the amount of charge stored in the capacitor?
Problem 92
In the water-bucket analogy to capacitors, what corresponds to the voltage between the plates of the capacitor?
Problem 93
What does the cross-sectional area of the water bucket correspond to in the water-bucket analogy to capacitors?
Problem 94
If the area of a capacitor's plates is increased, does its capacitance increase, decrease, or stay the same? Explain.
Problem 95
If the separation between a capacitor's plates is increased, does its capacitance increase, decrease, or stay the same? Explain.
Problem 96
A capacitor has a capacitance of \(4.1 \mu \mathrm{F}\). Find the magnitude of the charge on each of the capacitor's plates when it is connected to a 12 -V battery.
Problem 97
What voltage is required to give the plates of a \(320-\mathrm{pF}\) capacitor a charge of \(8.2 \times 10^{-9} \mathrm{C}\) ?
Problem 98
A capacitor stores \(6.9 \times 10^{-9} \mathrm{C}\) of charge on each of its plates when attached to a \(1.5-\mathrm{V}\) battery. What is its capacitance?
