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Exam 17: Electric Forces and Fields

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Question 31

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The average distance of the electron from the proton in the hydrogen atom is 0.51*10^-10 m. What is the electric field from the proton's charge at the location of the electron? (k_e = 8.99 * 10⁹ N.m²/C², e = 1.6 *10^-19 C)

A) 8.8 *10^-8 N/C
B) 1.0 * 10⁶ N/C
C) 3.2 * 10² N/C
D) 5.5 *10¹¹ N/C

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Question 32

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If two 1.0-C charges have a force between them of 1.0 N, what is their separation?

A)
B) 1.0 m
C)
D)

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Question 33

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Two charges, +Q and -Q, are located two meters apart and there is a point along the line that is equidistant from the two charges as indicated. Which vector best represents the direction of the electric field at that point?

A thin uncharged conducting spherical shell has a charge q carefully placed at its center through a small hole in the shell. The charge q does not touch the shell. What is the charge on the shell?

A proton moving at 6.0 * 10⁴ m/s is projected at an angle of 30 $\degree$ above a horizontal plane. If an electric field of 400 N/C is acting down, how long does it take the proton to return to the horizontal plane? (Hint: Ignore gravity. m_proton = 1.67 *10 ^{- 27} kg, q_proton = 1.6 *10 ^{- 19} C)

Three equal positive charges are placed on the x-axis, one at the origin, one at x = 2 m, and the third at x = 4 m. Of the following points, which has the greatest magnitude electric field?

The constant k_e, which appears in Coulomb's law formula, is equivalent dimensionally to which of the following?

Two point charges are 4 cm apart. They are moved to a new separation of 8 cm. By what factor does the resulting mutual force between them change?

Which of the following best characterizes electrical conductors?

Electrons in a particle beam each have a kinetic energy of 3.2 *10 ^{- 17} J. What is the magnitude of the electric field that will stop these electrons in a distance of 0.05 m? (e = 1.6 * 10 ^{- 19} C)

Charge A has 10 electric field lines coming out, charge B has 20 lines coming out, and charge C has 30 lines coming in. Which pair of these charges will have the largest force between them if placed one cm apart?

Doug rubs a piece of fur on a hard rubber rod, giving the rod a negative charge. What happens?

In x-ray machines, electrons are subjected to electric fields as great as 4.0 * 10⁵ N/C. Find an electron's acceleration in this field. (m_e = 9.11 *10^-31 kg, e = 1.6 *10^-19 C)

The electric field in a cathode ray tube is supposed to accelerate electrons from 0 to 1.60 * 10⁷ m/s in a distance of 4.00 cm. What electric field is required? (m_e = 9.11 * 10 ^{- 31} kg and e = 1.60 *10 ^{- 19} C)

If body P, with a positive charge, is placed in contact with body Q (initially uncharged) , what will be the nature of the charge left on Q?

Charges of 4.0 µC and -6.0 µC are placed at two corners of an equilateral triangle with sides of 0.20 m. At the third corner, what is the electric field magnitude created by these two charges? (k_e = 8.99 *10⁹ N·m²/C²)

Two point charges, separated by 1.5 cm, have charge values of +2.0 and -4.0 µC, respectively. Suppose we determine that 10 field lines radiate out from the +2.0-µC charge. If so, what might be inferred about the -4.0 $\mu$ C charge with respect to field lines?

An electron with a charge value of 1.6 *10 ^{- 19} C is moving in the presence of an electric field of 300 N/C. What force does the electron experience?

A proton initially moves left to right long the x axis at a speed of 2.00 *10⁴ m/s. It moves into an electric field, which points in the negative x direction, and travels a distance of 0.200 m before coming to rest. What acceleration magnitude does the proton experience?

Two point charges each have a value of 30.0 mC and are separated by a distance of 3.00 cm. What is the electric field midway between the two charges? (k_e = 8.99 * 10⁹ N·m²/C²)