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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? A) 2.00 × 10<sup>-3</sup> N ∙ m B) 1.40 × 10<sup>-3</sup> N ∙ m C) 2.80 × 10<sup>-3</sup> N ∙ m D) 0.00 N ∙ m E) 1.00 × 10<sup>-3</sup> N ∙ m = (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? A) 2.00 × 10<sup>-3</sup> N ∙ m B) 1.40 × 10<sup>-3</sup> N ∙ m C) 2.80 × 10<sup>-3</sup> N ∙ m D) 0.00 N ∙ m E) 1.00 × 10<sup>-3</sup> N ∙ m 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? A) 2.00 × 10<sup>-3</sup> N ∙ m B) 1.40 × 10<sup>-3</sup> N ∙ m C) 2.80 × 10<sup>-3</sup> N ∙ m D) 0.00 N ∙ m E) 1.00 × 10<sup>-3</sup> N ∙ m = (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? A) 2.00 × 10<sup>-3</sup> N ∙ m B) 1.40 × 10<sup>-3</sup> N ∙ m C) 2.80 × 10<sup>-3</sup> N ∙ m D) 0.00 N ∙ m E) 1.00 × 10<sup>-3</sup> N ∙ m + (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? A) 2.00 × 10<sup>-3</sup> N ∙ m B) 1.40 × 10<sup>-3</sup> N ∙ m C) 2.80 × 10<sup>-3</sup> N ∙ m D) 0.00 N ∙ m E) 1.00 × 10<sup>-3</sup> N ∙ m .What is the magnitude of the maximum torque that the electric field exerts on the dipole?


A) 2.00 × 10-3 N ∙ m
B) 1.40 × 10-3 N ∙ m
C) 2.80 × 10-3 N ∙ m
D) 0.00 N ∙ m
E) 1.00 × 10-3 N ∙ m

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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?   A) trajectory W B) trajectory X C) trajectory Y D) trajectory Z


A) trajectory W
B) trajectory X
C) trajectory Y
D) trajectory Z

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A very long wire carries a uniform linear charge density of A very long wire carries a uniform linear charge density of   What is the electric field strength   from the center of the wire at a point on the wire's perpendicular bisector? (ε<sub>0</sub> = 8.85 × 10<sup>-12</sup> C<sup>2/</sup>N ∙ m<sup>2</sup>)  A) 7.9 N/C B) 3.9 N/C C) 0.49 N/C D) 0.031 N/C What is the electric field strength A very long wire carries a uniform linear charge density of   What is the electric field strength   from the center of the wire at a point on the wire's perpendicular bisector? (ε<sub>0</sub> = 8.85 × 10<sup>-12</sup> C<sup>2/</sup>N ∙ m<sup>2</sup>)  A) 7.9 N/C B) 3.9 N/C C) 0.49 N/C D) 0.031 N/C from the center of the wire at a point on the wire's perpendicular bisector? (ε0 = 8.85 × 10-12 C2/N ∙ m2)


A) 7.9 N/C
B) 3.9 N/C
C) 0.49 N/C
D) 0.031 N/C

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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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4.7 m from...

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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)


A) -0.048 nC
B) -0.052 nC
C) -0.044 nC
D) -0.056 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


A) 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 A)    . B)    . C) -   D)    . E) -   . .
B) 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 A)    . B)    . C) -   D)    . E) -   . .
C) - 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 A)    . B)    . C) -   D)    . E) -   .
D) 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 A)    . B)    . C) -   D)    . E) -   . .
E) - 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 A)    . B)    . C) -   D)    . E) -   . .

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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)


A) 9.95 × 105 N/C
B) 4.98 × 105 N/C
C) 3.31 × 105 N/C
D) 2.49 × 105 N/C
E) 1.99 × 105 N/C

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In the figure,a proton is projected horizontally midway between two parallel plates that are separated by In the figure,a proton is projected horizontally midway between two parallel plates that are separated by   The electrical field due to the plates has magnitude   between the plates away from the edges.If the plates are   long,find the minimum speed of the proton if it just misses the lower plate as it emerges from the field.(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 electrical field due to the plates has magnitude In the figure,a proton is projected horizontally midway between two parallel plates that are separated by   The electrical field due to the plates has magnitude   between the plates away from the edges.If the plates are   long,find the minimum speed of the proton if it just misses the lower plate as it emerges from the field.(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)  between the plates away from the edges.If the plates are In the figure,a proton is projected horizontally midway between two parallel plates that are separated by   The electrical field due to the plates has magnitude   between the plates away from the edges.If the plates are   long,find the minimum speed of the proton if it just misses the lower plate as it emerges from the field.(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)  long,find the minimum speed of the proton if it just misses the lower plate as it emerges from the field.(e = 1.60 × 10-19 C, ε0 = 8.85 × 10-12 C2/N ∙ m2,mel = 9.11 × 10-31 kg) In the figure,a proton is projected horizontally midway between two parallel plates that are separated by   The electrical field due to the plates has magnitude   between the plates away from the edges.If the plates are   long,find the minimum speed of the proton if it just misses the lower plate as it emerges from the field.(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)

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In the figure,a ring 0.71 m in radius carries a charge of + 580 nC uniformly distributed over it.A point charge Q is placed at the center of the ring.The electric field is equal to zero at field point P,which is on the axis of the ring,and 0.73 m from its center.(ε0 = 8.85 × 10-12 C2/N ∙ m2) The point charge Q is closest to In the figure,a ring 0.71 m in radius carries a charge of + 580 nC uniformly distributed over it.A point charge Q is placed at the center of the ring.The electric field is equal to zero at field point P,which is on the axis of the ring,and 0.73 m from its center.(ε<sub>0</sub> = 8.85 × 10<sup>-12</sup> C<sup>2</sup>/N ∙ m<sup>2</sup>) The point charge Q is closest to   A) -210. B) -300. C) -420. D) 210. E) 300.


A) -210.
B) -300.
C) -420.
D) 210.
E) 300.

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Two very large parallel sheets a distance d apart have their centers directly opposite each other.The sheets carry equal but opposite uniform surface charge densities.A point charge that is placed near the middle of the sheets a distance d/2 from each of them feels an electrical force F due to the sheets.If this charge is now moved closer to one of the sheets so that it is a distance d/4 from that sheet,what force will feel?


A) 4F
B) 2F
C) F
D) F/2
E) F/4

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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?   A) only regions X and Z B) only region X C) only region Y D) only region Z E) all three regions


A) only regions X and Z
B) only region X
C) only region Y
D) only region Z
E) all three regions

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The electric field strength in the space between two closely spaced parallel disks is .0 × 105 N/C.This field is the result of transferring 3.9 × 109 electrons from one disk to the other.What is the diameter of the disks? (e = 1.60 × 10-19 C,ε0 = 8.85 × 10-12 C2/N ∙ m2)


A) 3.0 cm
B) 1.5 cm
C) 4.5 cm
D) 6.0 cm

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