Exam 23: The Electric Field

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_o = 1.0 × 10⁷ m/s,as shown in the figure.(e = 1.60 × 10^-19 C,ε₀ = 8.85 × 10^-12 C²/N ∙ m²,m_el = 9.11 × 10^-31 kg)The distance of closest approach of the electron to plate B is nearest 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

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)

A long,thin rod parallel to the y-axis is located at x = -1.0 cm and carries a uniform linear charge density of +1.0 nC/m.A second long,thin rod parallel to the z-axis is located at x = +1.0 cm and carries a uniform linear charge density of -1.0 nC/m.What is the net electric field due to these rods at the origin? (ε₀ = 8.85 × 10^-12 C²/N ∙ m²)

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_o = 2.0 × 10⁷ m/s,as shown in the figure.(e = 1.60 × 10^-19 C,ε₀ = 8.85 × 10^-12 C²/N ∙ m²,m_el = 9.11 × 10^-31 kg)The velocity of the electron as it strikes plate B is closest to

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)

An electric field is set up between two parallel plates,each of area 2.0 m²,by putting 1.0 μC of charge on one plate and -1.0 μC of charge on the other.The plates are separated by 4.0 mm with their centers opposite each other,and the charges are distributed uniformly over the surface of the plates.What is the magnitude of the electric field between the plates at a distance of 1.0 mm from the positive plate,but not near the edges of the plates? (ε₀ = 8.85 × 10^-12 C²/N ∙ m²)

Two flat 4.0 cm × 4.0 cm electrodes carrying equal but opposite charges are spaced 2.0 mm apart with their midpoints opposite each other.Between the electrodes but not near their edges,the electric field strength is 2.5 × 10⁶ N/C.What is the magnitude of the charge on each electrode? (ε₀ = 8.85 × 10^-12 C²/N ∙ m²)

A point charge Q = -500 nC and two unknown point charges,q₁ and q₂,are placed as shown in the figure.The electric field at the origin O,due to charges Q,q₁ and q₂,is equal to zero.The charge q₁ is closest to

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 × 10⁶ N/C) to bring the dipole to its stable equilibrium position?

Two point charges of +20.0 μC and -8.00 μC are separated by a distance of 20.0 cm.What is the magnitude of electric field due to these charges at a point midway between them? (k = 1/4πε₀ = 8.99 × 10⁹ N ∙ m²/C²)

A dipole with a positive charge of and a negative charge of is centered at the origin and oriented along the x-axis with the positive charge located to the right of the origin.The charge separation is 0.0010 m.Find the electric field due to this dipole at the point (k = 1/4πε₀ = 8.99 × 10⁹ N ∙ m²/C²)

Two large,flat,horizontally oriented plates are parallel to each other,a distance d apart.Half way between the two plates the electric field has magnitude E.If the separation of the plates is reduced to d/2 what is the magnitude of the electric field half way between the plates?

The figure shows three electric charges labeled Q₁,Q₂,Q₃,and some electric field lines in the region surrounding the charges.What are the signs of the three charges?

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

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 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 very large,flat plates are parallel to each other.Plate A,located at y = 1.0 cm,is along the xz-plane and carries a uniform surface charge density -1.00 μC/ .Plate B is located at y = -1.0 cm and carries a uniform surface charge density +2.00 μC/ .What is the electric field vector at the point having x,y,z coordinates (-0.50 cm,0.00 cm,0.00 cm)? (ε₀ = 8.85 × 10^-12 C²/N ∙ m²)

A 3.0-μC positive point charge is located at the origin and a positive point charge is located at Find the coordinates of the point where the net electric field strength due to these charges is zero.

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)