Question 1: An electric field given by E→ = 8.3 iˆ - 9.4(y2 + 8.5) jˆ pierces the Gaussian cube of edge length 0.490 m and positioned as shown in the figure. (The magnitude E is in Newton’s per coulomb and the position x is in meters.) What is the electric flux through the
(a) top face,
(b) bottom face,
(c) left face, and
(d) back face?
(e) What is the net electric flux through the cube?
![977_fig1.png](https://secure.tutorsglobe.com/CMSImages/977_fig1.png)
Question 2: A charged particle is suspended at the center of two concentric spherical shells that are very thin and made of non conducting material. Figure(a) shows a cross section. Figure (b) gives the net flux Φ through a Gaussian sphere centered on the particle, as a function of the radius r of the sphere. The scale of the vertical axis is set by Φs = 7.5 x 105 N•m2/C.
(a) What is the charge of the central particle?
(b) What are the net charges of shell A and shell B?
![582_fig2.png](https://secure.tutorsglobe.com/CMSImages/582_fig2.png)
Question 3: A charge of uniform linear density 2.60 nC/m is distributed along a long, thin, non conducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius = 6.00 cm, outer radius = 9.00 cm). The net charge on the shell is zero.
(a) What is the magnitude of the electric field at distance r = 15.0 cm from the axis of the shell?
(b) What is the surface charge density on the inner and outer surface of the shell?
![2156_fig3.png](https://secure.tutorsglobe.com/CMSImages/2156_fig3.png)