Exam 21: Electric Charge and Electric Field

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?

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?

A proton is placed in an electric field of intensity 700 N/C.What are the magnitude and direction of the acceleration of this proton due to this field? (m_proton = 1.67 × 10^-27 kg,

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 ,as shown in the figure. , , The distance of closest approach of the electron to plate B is nearest to

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?

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?

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

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?

A point charge Q is located a short distance from a point charge 3Q,and no other charges are present.If the electrical force on Q is F,what is the electrical force on 3Q?

In the figure Q = 5.8 nC and all other quantities are accurate to 2 significant figures.What is the magnitude of the force on the charge Q? (k = 1/4πε₀ =

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?

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 leaks off of both spheres.When each of the spheres has lost half its initial charge,the magnitude of the electrostatic force will be

In the figure,a small spherical insulator of mass 6.00 × 10^-2 kg and charge +0.400 μC is hung by a thin wire of negligible mass.A charge of -0.220 μC is held 0.290 m away from the sphere and directly to the right of it,so the wire makes an angle θ with the vertical,as shown.What is the angle θ?

Charge Q₁ = 6.0 nC is at (0.30 m,0),charge Q₂ = -1.0 nC is at (0,0.10 m),and charge .What are the magnitude and direction of the net electrostatic force on the 5.0-nC charge due to the other charges? (k = 1/4πε₀ =

Three point charges are placed on the x-axis.A charge of +2.0 μC is placed at the origin,-2.0 μC to the right at x = 50 cm,and +4.0 μC at the 100 cm mark.What are the magnitude and direction of the electrostatic force that acts on the charge at the origin? (k = 1/4πε₀ =

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

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?

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?

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?

When two point charges are 2.0 cm apart,each one experiences a 1.0-N electric force due to the other charge.If they are moved to a new separation of 8.0 cm,the electric force on each of them is closest to