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Exam 20: Electric Fields and Forces

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Question 1

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As shown in the figure, three small charges are equally spaced on the arc of a circle that is centered at the charge Q, where Q = +23 nC and all the other quantities are accurate to two significant figures. What is the magnitude of the net electric force on the charge Q due to the other three charges? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

A) 2.6 × 10^-4 N
B) 1.7 × 10^-4 N
C) 2.1 × 10^-4 N
D) 3.1 × 10^-4 N

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Question 2

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Two point charges each experience a 1-N electrostatic force when they are 2 cm apart. If they are moved to a new separation of 8 cm, what is the magnitude of the electric force on each of them?

A) 2 N
B) 1/2 N
C) 1/4 N
D) 1/8 N
E) 1/16 N

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Question 3

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Three point charges are located on the x-axis at the following positions: Q₁ = +2.00 μC is at x = 1.00 m, Q₂ = +3.00 μC is at x = 0.00, and Q₃ = -5.00 μC is at x = -1.00 m. What is the magnitude of the electric force on Q2? (k = 1/4πε₀ = 8.99 × 10⁹ N ∙ m²/C²)

Three equal-magnitude point charges of varying signs are placed at the corners of a square of side d as shown in the figure. Which one of the arrows shown represents the direction of the net electric field at the center of the square?

Two tiny particles having charges +20.0 ?C and -8.00 ?C are separated by a distance of 20.0 cm. What are the magnitude and direction of electric field midway between these two charges? (k = 1/4??₀ = 9.0 × 10⁹ N ? m²/C²)

Two tiny beads are 25 cm apart with no other charges or fields present. Bead A carries 10 µC of charge and bead B carries 1 µC. Which one of the following statements is true about the magnitudes of the electric forces on these beads?

The zirconium nucleus contains 40 protons, and an electron is 1.0 nm from the nucleus. What is the electric force on the electron due to the nucleus? ( e = 1.60 × 10^-19 C, k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

Two point charges, Q₁ and Q₂, are separated by a distance R. If the magnitudes of both charges are doubled and their separation is also doubled, what happens to the electrical force that each charge exerts on the other one?

There is a +5.0-?C charge at three corners of a square having sides 70 mm long. What are the magnitude and direction of the net electrostatic force on +6.0 ?C placed at the center of the square? (k = 1/4??₀ = 9.0 × 10⁹ N ? m²/C²)

If a charge generator builds a negative static charge of - $7.00 \mu \mathrm { C }$ how many electrons are transferred to it during this process. (e = 1.60 × 10^-19 C

The electric field at a point 2.8 cm from a small object points toward the object with a strength of 180,000 N/C. What is the object's charge q? (k = 1/4πε₀ = 8.99 × 10⁹ N ∙ m²/C²)

Two parallel square metal plates, 8.4 cm on each side, are 2.5 mm apart and carry equal but opposite charge uniformly distributed over their facing surfaces. How much excess charge is there on each plate if the electric field between the plates has a magnitude of 2.0 × 10⁶ N/C? (k = 1/4??₀ = 8.99 × 10⁹ N ? m²/C²)

Two very small plastic balls of equal mass are released from rest. One of them carries +10 µC of excess charge and the other one carries +1µC of charge. No other charges or fields are present. Which of the following statements are true about them as they move away from each other? (There may be more than one correct choice.)

Electrically neutral objects cannot exert an electrical force on each other, but they can exert a gravitational force on each other.

Two 10¢ coins (dimes) carrying identical charges are lying 2.5 m apart on a table. If each of these coins experiences an electrostatic force of magnitude 2.0 N due to the other coin, how large is the charge on each coin? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

A small styrofoam ball of mass 0.120 g is placed in an electric field of 6000 N/C pointing downward. What excess charge must be placed on the ball for it to remain suspended in the field?

Four tiny charged particles (two having a charge +Q and two having a charge -Q) are distributed on the x- and y-axes as shown in the figure. Each charge is equidistant from the origin. In which direction is the net electric field at the point P on the y-axis?

A point charge Q₁ = +6.0 nC is at the point (0.30 m, 0.00 m); a charge Q₂ = -1.0 nC is at (0.00 m, 0.10 m), and a charge Q₃ = +5.0 nC is at (0.00 m, 0.00 m). What are the magnitude and direction of the net force on the +5.0-nC charge due to the other two charges? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

If two objects are electrically attracted to each other,

A hydrogen nucleus, which has a charge +e, is situated to the left of a carbon nucleus, which has a charge +6e. Which statement is true?