Exam 19: Electric Charges, Forces, and Fields

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A small 0.050-kg insulating sphere carries a charge of -60 μC and is hanging by a vertical silk thread from a fixed point in the ceiling.An external uniform vertical electric field is now applied.If the applied electric field has a magnitude of 3000 N/C and is directed downward,what is the tension in the silk thread? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

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Which one of the arrows shown in the figure best represents the direction of the electric field between the two uniformly charged metal plates? Which one of the arrows shown in the figure best represents the direction of the electric field between the two uniformly charged metal plates?

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What is the charge on 1.0 kg of protons? (e = 1.60 × 10-19 C,mproton = 1.67 × 10-27 kg)

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Three equal charges +Q are at three of the corners of a square of side d.A fourth charge +Q of equal magnitude is at the center of the square as shown in the figure Which one of the arrows shown represents the net force acting on the charge at the center of the square? Three equal charges +Q are at three of the corners of a square of side d.A fourth charge +Q of equal magnitude is at the center of the square as shown in the figure Which one of the arrows shown represents the net force acting on the charge at the center of the square?

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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?

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A particle of charge +2q is placed at the origin and particle of charge -q is placed on the x-axis at x = 2a.Where on the x-axis can a third positive charge be placed so that the net electric force on it is zero?

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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)

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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?

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A proton is placed in an electric field of intensity 800 N/C.What are the magnitude and direction of the acceleration of the proton due to this field? (e = 1.60 × 10-19 C,mproton = 1.67 × 10-27 kg)

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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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Four point charges of equal magnitudes 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 magnitudes 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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What is the magnitude of the electric field 2.8 cm from a tiny object that carries an excess charge of -16 nC? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

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Two tiny beads,each of mass 3.2 g,carry equal-magnitude charges.When they are placed 6.4 cm apart and released in outer space,they begin to accelerate toward each other at 538 m/s2.What is the magnitude of the charge on each bead? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

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A negatively-charged plastic rod is brought close to (but does not touch)a neutral metal sphere that is connected to ground.After waiting a few seconds,the ground connection is removed (without touching the sphere),and after that the rod is also removed.The sphere is now

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Two electrons are Two electrons are   Apart at closest approach.What is the magnitude of the maximum electric force that they exert on each other? (e = 1.60 × 10<sup>-19</sup> C,k = 1/4πε<sub>0</sub> = 9.0 10<sup>9</sup> N ∙ m<sup>2</sup>/C<sup>2</sup>) Apart at closest approach.What is the magnitude of the maximum electric force that they exert on each other? (e = 1.60 × 10-19 C,k = 1/4πε0 = 9.0 109 N ∙ m2/C2)

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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) 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 = 1/4πε<sub>0</sub> = 9.0 × 10<sup>9</sup> N ∙ m<sup>2</sup>/C<sup>2</sup>)

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Two identical small charged spheres are a certain distance apart,and each one initially experiences an electrostatic force of magnitude F due to the other.With time,charge gradually diminishes on both spheres by leaking off.When each of the spheres has lost half its initial charge,what will be the magnitude of the electrostatic force on each one?

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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? 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?

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Two stationary point charges q1 and q2 are shown in the figure along with a sketch of some field lines representing the electric field produced by them.What can you deduce from the sketch? Two stationary point charges q<sub>1</sub> and q<sub>2</sub> are shown in the figure along with a sketch of some field lines representing the electric field produced by them.What can you deduce from the sketch?

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A proton is located at the point (x = 1.0 nm,y = 0.0 nm)and an electron is located at the point (x=0.0nm, y= 4.0nm). Find the magnitude of the electrostatic force that each one exerts on the other.(k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2,e = 1.6 × 10-19C)

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