A solid conducting sphere of radius a has a net positive charge 2Q. A conducting spherical shell of inner radius b and outer radius c is concentric with the solid sphere and has a net charge –Q. The surface charge density on the inner and outer surfaces of the spherical shell will be?
(1)
(2)
(3)
(4) None of the above
A cylinder of radius R and length L is placed in a uniform electric field E parallel to the cylinder axis. The total flux for the surface of the cylinder is given by
(1)
(2)
(3)
(4) Zero
Total electric flux coming out of a unit positive charge put in air is
(1)
(2)
(3)
(4)
A cube of side l is placed in a uniform field E, where . The net electric flux through the cube is
(1) Zero
(2) l2E
(3) 4l2E
(4) 6l2E
Electric charge is uniformly distributed along a long straight wire of radius \(1\) mm. The charge per cm length of the wire is \(Q\) coulomb. Another cylindrical surface of radius \(50\) cm and length \(1\) m symmetrically encloses the wire as shown in the figure. The total electric flux passing through the cylindrical surface is:
1. | \(\dfrac{Q}{\varepsilon _{0}}\) | 2. | \(\dfrac{100Q}{\varepsilon _{0}}\) |
3. | \(\dfrac{10Q}{\pi\varepsilon _{0}}\) | 4. | \(\dfrac{100Q}{\pi\varepsilon _{0}}\) |