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Problem 1

The electric field strength is \(50,000 \mathrm{N} / \mathrm{C}\) inside a parallel plate capacitor with a \(2.0 \mathrm{mm}\) spacing. A proton is released from rest at the positive plate. What is the proton's speed when it reaches the negative plate?

Problem 2

The electric field strength is \(20,000 \mathrm{N} / \mathrm{C}\) inside a parallel plate capacitor with a 1.0 mm spacing. An electron is released from rest at the negative plate. What is the electron's speed when it reaches the positive plate?

Problem 3

A proton is released from rest at the positive plate of a parallel-plate capacitor. It crosses the capacitor and reaches the negative plate with a speed of \(50,000 \mathrm{m} / \mathrm{s}\). What will be the proton's final speed if the experiment is repeated with double the amount of charge on each capacitor plate?

Problem 4

A proton is released from rest at the positive plate of a parallel-plate capacitor. It crosses the capacitor and reaches the negative plate with a speed of \(50,000 \mathrm{m} / \mathrm{s}\). The experiment is repeated with a He \(^{+}\) ion (charge \(e\), mass 4 u). What is the ion's speed at the negative plate?

Problem 8

A water molecule perpendicular to an electric field has \(1.0 \times\) \(10^{-21} \mathrm{J}\) more potential energy than a water molecule aligned with the field. The dipole moment of a water molecule is \(6.2 \times 10^{-30} \mathrm{C} \mathrm{m} .\) What is the strength of the electric field?

Problem 10

What is the speed of an electron that has been accelerated from rest through a potential difference of \(1000 \mathrm{V} ?\)

Problem 11

What is the speed of a proton that has been accelerated from rest through a potential difference of -1000 V?

Problem 12

What potential difference is needed to accelerate a \(\mathrm{He}^{+}\) ion (charge \(+e,\) mass 4 u) from rest to a speed of \(2.0 \times 10^{6} \mathrm{m} / \mathrm{s} ?\)

Problem 13

What potential difference is needed to accelerate an electron from rest to a speed of \(2.0 \times 10^{6} \mathrm{m} / \mathrm{s} ?\)

Problem 14

An electron with an initial speed of \(500,000 \mathrm{m} / \mathrm{s}\) is brought to rest by an electric field. a. Did the electron move into a region of higher potential or lower potential? b. What was the potential difference that stopped the electron?

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