Exam 22: The Electric Field Ii: Continuous Charge Distributions

Use the following figure to answer the next problem: -A hollow metal sphere has a total charge of 100 µC.If the radius of the sphere is 50 cm,the electric field intensity at a distance of 3.0 m from the surface of the sphere is approximately

Use the following scenario for the next question. A solid conducting sphere of radius ra is placed concentrically inside a conducting spherical shell of inner radius r_b1 and outer radius r_b2. The inner sphere carries a charge Q while the outer sphere does not carry any net charge. -The electric field for r > r_b1 is

A uniform circular ring has charge Q and radius r.The magnitude of the electric field at a distance of r along the axis of the ring is E_o.If the radius were to double,then calculate the new electric field at a distance of r along the axis of the ring in terms of E_o.

Use the following figure to answer the problem: -An infinite line charge of linear density $\lambda$ = 0.30 µC/m lies along the z axis and a point charge q = 6.0 µC lies on the y axis at y = 2.0 m.The x component of the electric field at the point P on the x axis at x = 3.0 m is approximately

An infinitely long cylindrical shell of radius 6.0 cm carries a uniform surface charge density $\sigma$ = 12 nC/m².The electric field at r = 5.9 cm is approximately

The surface charge density for r = r_b1 is

Use the figure for the next problem. An infinite slab of thickness 2d lies in the xz–plane. The slab has a uniform volume charge density -The electric at y = b where 0 < b < d is

A disk of radius 10 cm carries a uniform surface charge density of 6.0 µC/m².The electric field on the axis of the disk at a distance of 10 cm is approximately

A hollow spherical shell of radius 5.36 cm has a charge of 1.91 $\mu$ C placed at its center.Calculate the electric flux through an area of 1.20 $\times$ 10^-2 m² on the shell.

Use the figure for the next problem. An infinite slab of thickness 2d lies in the xz–plane. The slab has a uniform volume charge density -The electric at y = b where b > d is

Use the following figure to answer the next problem: -A solid sphere of radius a is concentric with a hollow sphere of radius b,where b > a.If the solid sphere has a charge +Q and the hollow sphere a charge of -Q,the electric field at radius r,where r < a,is which of the following,in terms of k = (4 $\pi\varepsilon$ ₀)^-1?

Electrical conductors contain

A uniform circular ring has charge Q and radius r.A uniformly charged disk also has charge Q and radius r.Calculate the electric field at a distance of r along the axis of the ring divided by the electric field at a distance of r along the axis of the disk.

A uniform line charge of linear charge density $\lambda$ = 10.0 nC/m extends from x = 5 m to x = 8 m.The magnitude of the electric field at the point y = 5 m on the perpendicular bisector of the finite line of charge is

Consider a uniform electric field = (5.0 kN/C) .What is the flux of this field through a square of side 20 cm in a plane parallel to the yz plane?

For a solid uniformly charged sphere of radius R,calculate the electric field at a distance R/2 outside the sphere,divided by the electric field at a distance R/2 inside the sphere.

A spherical shell of radius 9.0 cm carries a uniform surface charge density $\sigma$ = 9.0 nC/m².The electric field at r = 8.9 cm is approximately

An infinitely long cylindrical shell of radius 6.0 cm carries a uniform surface charge density $\sigma$ = 12 nC/m².The electric field at r = 10 cm is approximately

A disk of radius 10 cm carries a uniform surface charge density of 6.0 µC/m².The electric field on the axis of the disk at a distance of 0.10 cm is approximately

Use the following figure to answer the next problem: -A sphere of radius 8.0 cm carries a uniform volume charge density $\rho$ = 500 nC/m³.What is the electric field at r = 7.9 cm?