Exam 23: The Electric Field

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An electric dipole is made of two charges of equal magnitudes and opposite signs.The positive charge,q = 1.0 μC,is located at the point (x,y,z)= (0.00 cm,1.0 cm,0.00 cm),while the negative charge is located at the point (x,y,z)= (0.00 cm,-1.0 cm,0.00 cm).How much work will be done by an electric field An electric dipole is made of two charges of equal magnitudes and opposite signs.The positive charge,q = 1.0 μC,is located at the point (x,y,z)= (0.00 cm,1.0 cm,0.00 cm),while the negative charge is located at the point (x,y,z)= (0.00 cm,-1.0 cm,0.00 cm).How much work will be done by an electric field   = (3.0 × 10<sup>6</sup> N/C)   To bring the dipole to its stable equilibrium position? = (3.0 × 106 N/C) An electric dipole is made of two charges of equal magnitudes and opposite signs.The positive charge,q = 1.0 μC,is located at the point (x,y,z)= (0.00 cm,1.0 cm,0.00 cm),while the negative charge is located at the point (x,y,z)= (0.00 cm,-1.0 cm,0.00 cm).How much work will be done by an electric field   = (3.0 × 10<sup>6</sup> N/C)   To bring the dipole to its stable equilibrium position? To bring the dipole to its stable equilibrium position?

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A

A pair of charged conducting plates produces a uniform field of 12,000 N/C,directed to the right,between the plates.The separation of the plates is 40 mm.An electron is projected from plate A,directly toward plate B,with an initial velocity of vo = 2.0 × 107 m/s,as shown in the figure.(e = 1.60 × 10-19 C, Ε0 = 8.85 × 10-12 C2/N • m2,mel = 9.11 × 10-31 kg)The velocity of the electron as it strikes plate B is closest to A pair of charged conducting plates produces a uniform field of 12,000 N/C,directed to the right,between the plates.The separation of the plates is 40 mm.An electron is projected from plate A,directly toward plate B,with an initial velocity of v<sub>o</sub> = 2.0 × 10<sup>7 </sup>m/s,as shown in the figure.(e<sub> </sub>= 1.60 × 10<sup>-19 </sup>C, Ε<sub>0</sub> = 8.85 × 10<sup>-1</sup><sup>2</sup> C<sup>2</sup>/N • m<sup>2</sup>,m<sub>el</sub> = 9.11 × 10<sup>-31</sup> kg)The velocity of the electron as it strikes plate B is closest to

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An initially-stationary electric dipole of dipole moment An initially-stationary electric dipole of dipole moment   = (5.00 × 10<sup>-10</sup> C • m)   Placed in an electric field   = (2.00 × 10<sup>6</sup> N/C)   + (2.00 × 10<sup>6</sup> N/C)   )What is the magnitude of the maximum torque that the electric field exerts on the dipole? = (5.00 × 10-10 C • m) An initially-stationary electric dipole of dipole moment   = (5.00 × 10<sup>-10</sup> C • m)   Placed in an electric field   = (2.00 × 10<sup>6</sup> N/C)   + (2.00 × 10<sup>6</sup> N/C)   )What is the magnitude of the maximum torque that the electric field exerts on the dipole? Placed in an electric field An initially-stationary electric dipole of dipole moment   = (5.00 × 10<sup>-10</sup> C • m)   Placed in an electric field   = (2.00 × 10<sup>6</sup> N/C)   + (2.00 × 10<sup>6</sup> N/C)   )What is the magnitude of the maximum torque that the electric field exerts on the dipole? = (2.00 × 106 N/C) An initially-stationary electric dipole of dipole moment   = (5.00 × 10<sup>-10</sup> C • m)   Placed in an electric field   = (2.00 × 10<sup>6</sup> N/C)   + (2.00 × 10<sup>6</sup> N/C)   )What is the magnitude of the maximum torque that the electric field exerts on the dipole? + (2.00 × 106 N/C) An initially-stationary electric dipole of dipole moment   = (5.00 × 10<sup>-10</sup> C • m)   Placed in an electric field   = (2.00 × 10<sup>6</sup> N/C)   + (2.00 × 10<sup>6</sup> N/C)   )What is the magnitude of the maximum torque that the electric field exerts on the dipole? )What is the magnitude of the maximum torque that the electric field exerts on the dipole?

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An electron is initially moving to the right when it enters a uniform electric field directed upwards.Which trajectory shown below will the electron follow? An electron is initially moving to the right when it enters a uniform electric field directed upwards.Which trajectory shown below will the electron follow?

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A thin,circular disk of radius 30.0 cm is oriented in the yz-plane with its center at the origin.The disk carries a total charge of +3.00 μC distributed uniformly over its surface.Calculate the magnitude of the electric field due to the disk at the point x = 15.0 cm along the x-axis.(ε0 = 8.85 × 10-12 C2/N • m2)

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A pair of charged conducting plates produces a uniform field of 12,000 N/C,directed to the right,between the plates.The separation of the plates is 40 mm.An electron is projected from plate A,directly toward plate B,with an initial velocity of v0 = 1.0 × 107 m/s,as shown in the figure.(e = 1.60 × 10-19 C, Ε0 = 8.85 × 10-12 C2/N • m2,mel = 9.11 × 10-31 kg)The distance of closest approach of the electron to plate B is nearest to A pair of charged conducting plates produces a uniform field of 12,000 N/C,directed to the right,between the plates.The separation of the plates is 40 mm.An electron is projected from plate A,directly toward plate B,with an initial velocity of v<sub>0</sub> = 1.0 × 10<sup>7 </sup>m/s,as shown in the figure.(e<sub> </sub>= 1.60 × 10<sup>-19 </sup>C, Ε<sub>0</sub> = 8.85 × 10<sup>-12</sup> C<sup>2</sup>/N • m<sup>2</sup>,m<sub>el</sub> = 9.11 × 10<sup>-31</sup> kg)The distance of closest approach of the electron to plate B is nearest to

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Two thin 80.0-cm rods are oriented at right angles to each other.Each rod has one end at the origin of the coordinates,and one of them extends along the +x-axis while the other extends along the +y-axis.The rod along the +x-axis carries a charge of -15.0 µC distributed uniformly along its length,and the other rod carries +15.0 µC uniformly over its length.Find the magnitude and direction of the net electrical force that these two rods exert on an electron located at the point (40.0 cm,40.0 cm).(e = 1.60 × 10-19 C, ε0 = 8.85 × 10-12 C2/N • m2)

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Three equal negative point charges are placed at three of the corners of a square of side d.What is the magnitude of the net electric field at the center of the square? (k = 1/4πε0 = 8.99 × 109 N • m2/C2)

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At a distance of 4.3 cm from the center of a very long uniformly charged wire,the electric field has magnitude 2000 N/C and is directed toward the wire.What is the charge on a 1.0 cm length of wire near the center? (ε0 = 8.85 × 10-12 C2/N • m2)

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The electric field 1.5 cm from a very small charged object points toward the object with a magnitude of 180,000 N/C.What is the charge on the object? (k = 1/4πε0 = 8.99 × 109 N • m2/C2)

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The figure shows two unequal point charges,q and Q,of opposite sign.Charge Q has greater magnitude than charge q.In which of the regions X,Y,Z will there be a point at which the net electric field due to these two charges is zero? The figure shows two unequal point charges,q and Q,of opposite sign.Charge Q has greater magnitude than charge q.In which of the regions X,Y,Z will there be a point at which the net electric field due to these two charges is zero?

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A 5.0-μC point charge is placed at the 0.00 cm mark of a meter stick and a -4.0-μC point charge is placed at the 50 cm mark. At what point on a line joining the two charges is the electric field due to these charges equal to zero?

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What is the minimum magnitude of an electric field that balances the weight of a plastic sphere of mass 6.4 g that has been charged to -3.0 nC?

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Four equal negative point charges are located at the corners of a square,their positions in the xy-plane being (1,1),(-1,1),(-1,-1),(1,-1).The electric field on the x-axis at (1,0)points in the same direction as

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A metal sphere of radius 10 cm carries a charge of +2.0 μC uniformly distributed over its surface. What is the magnitude of the electric field due to this sphere at a point 5.0 cm outside the sphere's surface? (k = 1/4πε0 = 8.99 × 109 N • m2/C2)

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An atomic nucleus has a charge of +40e. What is the magnitude of the electric field at a distance of 1)0 m from the center of the nucleus? (k = 1/4πε0 = 8.99 × 109 N • m2/C2,e = 1.60 × 10-19C)

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Two point charges,Q1 = -1.0 μC and Q2 = + 4.0 μC,are placed as shown in the figure. (k = 1/4πε0 = 8.99 × 109 N • m2/C2)The y component of the electric field,at the origin O,is closest to Two point charges,Q<sub>1 </sub>= -1.0 μC and Q<sub>2 </sub>= + 4.0 μC,are placed as shown in the figure. (k = 1/4πε<sub>0</sub> = 8.99 × 10<sup>9</sup> N • m<sup>2</sup>/C<sup>2</sup>)The y component of the electric field,at the origin O,is closest to

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An electric dipole consists of charges ±5.00 µC separated by 1.20 mm.It is placed in a vertical electric field of magnitude 525 N/C oriented as shown in the figure.The magnitude of the net torque this field exerts on the dipole is closest to An electric dipole consists of charges ±5.00 µC separated by 1.20 mm.It is placed in a vertical electric field of magnitude 525 N/C oriented as shown in the figure.The magnitude of the net torque this field exerts on the dipole is closest to

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Three +3.0-μC point charges are at the three corners of a square of side 0.50 m. The last corner is occupied by a -3.0-μC charge. Find the magnitude of the electric field at the center of the square. (k = 1/4πε0 = 8.99 × 109 N • m2/C2)

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Two point charges Q1 and Q2 of equal magnitudes and opposite signs are positioned as shown in the figure.Which of the arrows best represents the net electric field at point P due to these two charges? Two point charges Q<sub>1</sub> and Q<sub>2</sub> of equal magnitudes and opposite signs are positioned as shown in the figure.Which of the arrows best represents the net electric field at point P due to these two charges?

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