Exam 20: Electric Fields and Forces

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Four point charges of equal magnitude but with varying signs are arranged on three of the corners and at the center of the square of side d as shown in the figure. Which one of the arrows shown represents the net force acting on the center charge? Four point charges of equal magnitude but with varying signs are arranged on three of the corners and at the center of the square of side d as shown in the figure. Which one of the arrows shown represents the net force acting on the center charge?

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As shown in the figure, the charge Q is midway between two other charges. If Q=7.5nCQ = - 7.5 \mathrm { nC } what must be the charge q1 so that charge q2 remains stationary as Q and q1 are held in place?  As shown in the figure, the charge Q is midway between two other charges. If  Q = - 7.5 \mathrm { nC }  what must be the charge q1 so that charge q2 remains stationary as Q and q1 are held in place?

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The figure shows two tiny 5.0-g spheres suspended from very light 1.0-m-long threads. The spheres repel each other after each one is given the same positive charge and hang at rest when θ = 4.1°. What is the charge on each sphere? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2) The figure shows two tiny 5.0-g spheres suspended from very light 1.0-m-long threads. The spheres repel each other after each one is given the same positive charge and hang at rest when θ = 4.1°. What is the charge on each sphere? (k = 1/4πε<sub>0</sub> = 9.0 × 10<sup>9</sup> N ∙ m<sup>2</sup>/C<sup>2</sup>)

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When 1.0-µC point charge is 15 m from a second point charge, the force each one experiences a force of 1.0 µN. What is the magnitude of the second charge? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

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Three point charges are placed on the x-axis, as follows. A charge of +2.0 μC is at the origin, a charge of -2.0 μC is at x = 50 cm, and a charge of +4.0 μC is at x = 100 cm. What are the magnitude and direction of the electrostatic force on the charge at the origin due to the other two charges? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

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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)

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The electric field at point P due to a point charge Q a distance R away from P has magnitude E. In order to double the magnitude of the field at P, you could

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Three equal negative point charges -q are placed at three of 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 vacant corner of the square? Three equal negative point charges -q are placed at three of 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 vacant corner of the square?

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Four point charges Q of equal magnitude and sign are arranged on three of the corners of the square of side d as shown in the figure Which one of the arrows shown represents the net force acting on the charge at the upper right hand corner of the square? Four point charges Q of equal magnitude and sign are arranged on three of the corners of the square of side d as shown in the figure Which one of the arrows shown represents the net force acting on the charge at the upper right hand corner of the square?

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As shown in the figure, three charges are at the vertices of an equilateral triangle. The charge Q is 6.7 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 two charges? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2) As shown in the figure, three charges are at the vertices of an equilateral triangle. The charge Q is 6.7 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 two charges? (k = 1/4πε<sub>0</sub> = 9.0 × 10<sup>9</sup> N ∙ m<sup>2</sup>/C<sup>2</sup>)

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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)

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What is the magnitude of a the vertical electric field that will balance the weight of a plastic sphere of mass 2.1 g2.1 \mathrm {~g} that has been charged to -3.0 nC? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

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A particle with a charge of +4.0 μC has a mass of 5.0 g. What magnitude electric field directed upward will exactly balance the weight of the particle?

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

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As shown in the figure, charge q1 = 2.2 x 10610^{ - 6} C is placed at the origin and charge 92=3.30×106C9 _ { 2 } = - 3.30 \times 10 ^{- 6} C is placed on the xa×isx - a \times i s at x=0.200 mx = - 0.200 \mathrm {~m} Where along the x-axis can a third charge Q = -8.30 × 10-6 C be placed so that the resultant force on Q is zero?  As shown in the figure, charge q<sub>1</sub> = 2.2 x  10^{ - 6}  C is placed at the origin and charge  9 _ { 2 } = - 3.30 \times 10 ^{- 6} C  is placed on the  x - a \times i s  at  x = - 0.200 \mathrm {~m}  Where along the x-axis can a third charge Q = -8.30 × 10<sup>-6</sup> C be placed so that the resultant force on Q is zero?

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A negatively-charged rod is brought close to (but does not touch) two neutral spheres that are in contact with each other but insulated from the ground. If the two spheres are then separated, what kind of charge will be on the spheres?

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There is a +5.0-μC 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 μC placed at the center of the square? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

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Three equal negative point charges -q are placed at three of 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? Three equal negative point charges -q are placed at three of 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?

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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?

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Three identical 3.0-µC charges are placed at the vertices of an equilateral triangle that measures 30 cm on a side. What is the magnitude of the electrostatic force on any one of the charges? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

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