Exam 23: The Electric Field

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)

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

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

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 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? (ε₀ = 8.85 × 10^-12 C^2/N ∙ m²)

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)

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 = 1.60 × 10^-19 C, ε₀ = 8.85 × 10^-12 C²/N ∙ m²,m_el = 9.11 × 10^-31 kg)

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 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?

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 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?

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?