Question

4, suppose a very long conductor of radius R has a linear charge density λ and a current of 1 a. Find the E field for s>R. b. Find the B field for s>R c. Find the magnitude and direction of the Poynting Vector for r>R. d. Find the momentum stored in the field between R and 2R.

simple steps if you can
thanks

Answer 1

E.field for S > R contourintegral E . ds = integral lambda.dl/epsilon_0 E = lambda/2 pi episilon_0 S S^Mag. field for S > R contourintegral B.dl = mu_0 I B.2 pi S = mu_0 I B = mu_0 I/2 pi S phi^pointing vector S = 1/mu_0 (E bar times B bar) = lambda I/4 pi^2 epsilon_0 S^2 (s^times phi^) = lambda I/4 pi^2 epsilon_0 S^2 z^Momentum density dp/dv = S/C^2 integral dp = integral S/C^2 dv = lambda I/4 pi^2 epsilon_0 C^2 integral^l_0 integral^2 pi_0 integral^2R_R 1/S^2 Sds d theta dz = lambda I/4 pi^2 epsilon_0 C^2 ln(2R/R) middot 2 pi = lambda L I/4 pi^2 epsilon_0 C^2 ln(2) middot 2 pi P = QI/2 pi epsilon_0 C^2 ln(2) kg - m/sec