B.1 [6] [3] Consider a long thin wire of radius a carrying an electric charge à per unit length. a) Using Gauss' law or
Posted: Mon May 09, 2022 2:05 pm
- B 1 6 3 Consider A Long Thin Wire Of Radius A Carrying An Electric Charge A Per Unit Length A Using Gauss Law Or 1 (41 KiB) Viewed 22 times
B.1 [6] [3] Consider a long thin wire of radius a carrying an electric charge à per unit length. a) Using Gauss' law or otherwise, show that the E field outside such a wire is X E(c) 2πεορ e, where p is the radial distance from r to the wire. Comment on any symmetry assumptions you make. Derive an expression for the electrostatic potential V(). b) Describe how the methods of images is used to solve electrostatic problems with boundary conditions. c) Now consider the wire positioned above a conducting slab. The slab is in the wy plane at a 50, and the wire points along the r-axis, with its central axis at y = 0 and 2 = b > a. Using an appropriate image wire inside the conducting slab, derive an expression for the potential V(1) outside the wire in the region 2 > 0. Verify that V(c) fulfils the boundary conditions. Sketch the field lines in the yz plane. d) Show that the induced surface charge density at the slab surface is 6 g(x,y) пу? +2° a (7) [4]