Exam 22: The Electric Field Ii: Continuous Charge Distributions

A spherical shell of radius 9.0 cm carries a uniform surface charge density $\sigma$ = 9.0 nC/m².The electric field at r = 9.1 cm is approximately

The electric field for an infinite plane of charge is discontinuous by the amount _____ at a point where there is a surface charge density $\sigma$ .

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 > b,is which of the following,in terms of k = (4 $\pi\varepsilon$ ₀)^-1?

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_b1 < r < r_b2 is

A uniform line charge of linear charge density $\lambda$ = 5.00 nC/m extends from x = 0 to x = 10 m.The magnitude of the electric field at x = 12 m is

For a uniformly charged spherical sphere of radius R carrying a total charge Q,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.

Consider a uniform electric field = (5.0 kN/C) .What is the flux of this field through a square of side 20 cm if the normal to its plane makes a 45º angle with the x axis?

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 = 8.1 cm?

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 a < r < b,is which of the following,in terms of k = (4 $\pi\varepsilon$ ₀)^-1?

Which of the following circumstances about Gauss's law is true?

An infinitely long cylinder of radius 4.0 cm carries a uniform volume charge density $\rho$ = 200 nC/m³.What is the electric field at r = 2.0 cm?

An infinitely long cylinder of radius 4.0 cm carries a uniform volume charge density $\rho$ = 200 nC/m³.What is the electric field at r = 3.9 cm?

An infinitely long cylinder of radius 4.0 cm carries a uniform volume charge density $\rho$ = 200 nC/m³.What is the electric field at r = 4.1 cm?

A non-conducting pipe has a uniform charge density of 50 C/m³.The inner radius of the pipe is 25 cm,while the outer radius is 35 cm.Calculate the magnitude of the electric field at r = 40 cm.

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 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 = 2.0 cm is approximately

A solid spherical conductor has a radius of 15 cm.The electric field 30 cm from the center of this sphere has a magnitude of 800 N/C.What is the surface charge density $\sigma$ on the sphere?

Which diagram best represents the electric field along the y-axis?

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 y component of the electric field at the point P on the x axis at x = 3.0 m is approximately

A uniform circular ring has charge Q = 7.36 $\mu$ C,and radius r = 3.33 cm.Calculate the magnitude of the electric field at a distance of 4.20 cm along the axis of the ring.