Two uniformly charged, infinite, nonconducting planes are parallel to a yz plane and positioned at x--43...
Two infinite planes of charge lie parallel to each other and to the yz plane. One is at x = -4 m and has a surface charge density of σ = -2.0 µC/m2. The other is at x = 5 m and has a surface charge density of σ = 4.6 µC/m2. Find the electric field for the following locations. (a) x < -4 m _______N/C î (b) -4 m < x < 5 m _______ N/C î (c) x...
Two infinite planes of charge lie parallel to each other and to the yz plane. One is at x = -2 m and has a surface charge density of σ = -3.2 µC/m2. The other is at x = 4 m and has a surface charge density of σ = 5.2 µC/m2. Find the electric field for the following locations. (a) x < -2 m N/C î (b) -2 m < x < 4 m N/C î (c) x >...
There are two infinite parallel planes oriented vertically. The plane on the left has a charge density 4.5x10-6 C/m2 and the other plane has a charge density of -2.5x10-6 C/m2. (a) What is the electric field E in each region? (b) Now, if a test charge q= 3.2x10-6 C is placed in the region between the planes what is the force F acting on it?
A charge of 6 nC is placed uniformly on a square sheet of nonconducting material of side 17 cm in the yz plane? (a) What is the surface charge density σ.(b) What is the magnitude of the electric field to the right (x> 0) of the sheet? (c) The same charge is placed on a square conducting slab of side 17 cm and thickness 0.07 mm. What is the surface charge density σ? Assume that the charge distributes itself uniformly on the...
Two infinite nonconducting sheets of charge are parallel to each other, with sheet A in the x- 2.85 plane and sheet B in thex = +2.85 m plane. Find the electric field in the region x <-2.85 m, in the region x > +2.85 m, and between the sheets for the following situations. (a) when each sheet has a uniform surface charge density equal to +3.25 HC/m2 region (m) electric field (N/C) x -2.85 x +2.85 -2.85 <X< +2.85 (b)...
Consider two infinite parallel thin sheets o charge, one in the x 0 plane and the other in the pane The potential is zero at teon in. (a Find the electric potential everywhere in space i the planes have equal positive charge densities to. Use any variable or symbol stated above along with the following as necessary: (b) Find the electric potential everywhere in space if the sheet in thex-0 plane has a charge density to and the sheet in...
A long, uniformly charged ribbon is located in the xz plane, parallel to the z-axis, occupying the region -o and -a/2sxsa/2. The surface charge density on the ribbon is ?. a) Determine E at (x, 0, 0) for x >a/2. b) Determine E at (0, y, 0) for y >0. Hint: Divide the ribbon into thin vertical strips of width dr and treat them like infinite wires with ?-
(6.) An infinite line of charge is parallel to the plane of an infinite sheet of charge. If the line of charge is a distance b above the sheet, what is the relationship between the densities , o and the distance b that will allow the net field created by the distributions to be zero at some point between the two? Ş+++++++++++++++++++++ + + + + + + + + + + + + + + + + + +...
Question 1 (compulsory): The following set of charges is given in free space Charge σ,--40 nC/m Number and type of charge #1 , charged spherical shell of radius Ri-10 cm carrying uniform surface charge density σ #2, charged spherical shell of radius R2-5 cm carrying uniform surface charge density Ơ Location (0, 0, 0) m (position of the centre of the sphere) (0, 0, 0) m (position of the centre of the sphere σ,-160 nC/m2 The positions of the spheres'...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...