8 = The electric field of a linear density of charges À on the z-axis generates an electric field Ē(s) = 2. The field ca

[answerhappygod]

8 The Electric Field Of A Linear Density Of Charges A On The Z Axis Generates An Electric Field E S 2 The Field Ca 1 (80.48 KiB) Viewed 28 times

8 = The electric field of a linear density of charges À on the z-axis generates an electric field Ē(s) = 2. The field can be described by a poten- tial Ē(s) = -VVe, with Ve(s) 27 In, where so is some arbitrary point where we set the potential to be zero, Ve(s) = 0. Also the magnetic field generated by a current I on the z-axis is B(s) 2TS. Surpris- ingly, that magnetic field can also be written as B(s) = -VVm, where Vm (0) - Explain what is the fundamental difference between the two functions V₂ and Vm and how the descriptions of E and B in terms of potentials are compatible with the laws of electrostatics and magneto- statics. [Hint: Use the fundamental theorem of calculus for the gradient and, in addition calculate § Ē* dl and f B* dl for different closed paths, with '*' the dot product]. 2πT = =