91Ó°ÊÓ

A \(2.0 \mathrm{cm} \times 3.0 \mathrm{cm}\) rectangle lies in the \(x y\) -plane. What is the electric flux through the rectangle if a. \(\vec{E}=(50 \hat{\imath}+100 \hat{k}) \mathrm{N} / \mathrm{C} ?\) b. \(\vec{E}=(50 \hat{\imath}+100 \hat{\jmath}) \mathrm{N} / \mathrm{C} ?\)

A \(2.0 \mathrm{cm} \times 3.0 \mathrm{cm}\) rectangle lies in the \(x z\) -plane. What is the electric flux through the rectangle if a. \(\overrightarrow{\boldsymbol{E}}=(50 \hat{\imath}+100 \hat{k}) \mathrm{N} / \mathrm{C} ?\) b. \(\vec{E}=(50 \hat{\imath}+100 \hat{\jmath}) \mathrm{N} / \mathrm{C} ?\)

A 3.0 -cm-diameter circle lies in the \(x y\) -plane in a region where the electric field is \(\vec{E}=(1500 \hat{\imath}+1500 \hat{\jmath}+1500 \hat{k}) \mathrm{N} / \mathrm{C} .\) What is the electric flux through the circle?

\(A 1.0 \mathrm{cm} \times 1.0 \mathrm{cm} \times 1.0 \mathrm{cm}\) box is between the plates of a parallel-plate capacitor with two faces of the box perpendicular to \(\overrightarrow{\boldsymbol{E}} .\) The electric field strength is \(1000 \mathrm{N} / \mathrm{C} .\) What is the net electric flux through the box?

The net electric flux through a closed surface is \(-1000 \mathrm{Nm}^{2} / \mathrm{C} .\) How much charge is enclosed within the surface?

55.3 million excess electrons are inside a closed surface. What is the net electric flux through the surface?

The electric field strength just above one face of a copper penny is \(2000 \mathrm{N} / \mathrm{C} .\) What is the surface charge density on this face of the penny?

A thin, horizontal \(10 \mathrm{cm} \times 10 \mathrm{cm}\) copper plate is charged with \(1.0 \times 10^{10}\) electrons. If the electrons are uniformly distributed on the surface, what are the strength and direction of the electric field a. \(0.1 \mathrm{mm}\) above the center of the top surface of the plate? b. at the plate's center of mass? c. \(0.1 \mathrm{mm}\) below the center of the bottom surface of the plate?

A tetrahedron has an equilateral triangle base with 20 -cm-long edges and three equilateral triangle sides. The base is parallel to the ground, and a vertical uniform electric field of strength 200 N/C passes upward through the tetrahedron. a. What is the electric flux through the base? b. What is the electric flux through each of the three sides?

Charges \(q_{1}=-4 Q\) and \(q_{2}=+2 Q\) are located at \(x=-a\) and \(x=+a,\) respectively. What is the net electric flux through a sphere of radius \(2 a\) centered (a) at the origin and (b) at \(x=2 a ?\)