y What if we get very close to the rod or have a very long rod? l>>r E E ACSO r√r2+(L/2) E 12(Q/ 4兀6
y r What if we get very close to the rod (or have a very long rod)? E ( ) r Q L E 2 4 1 0 = L r + = 2 2 4 0 ( 2) 1 r r L Q E
Steps for calculating electric field (1 Cut up the charge distribution into pieces (2 )Write an expression for the electric field due to one piece (3)Add up the contributions of all the pieces (either as an integral, or with a computer (4)Check the result
Steps for calculating electric field (1) Cut up the charge distribution into pieces. (2) Write an expression for the electric field due to one piece. (3) Add up the contributions of all the pieces (either as an integral, or with a computer). (4) Check the result
Python y Electric field of a uniformly charged thin ring
Electric field of a uniformly charged thin ring z x y
Python Step 1: Cut it up into pieces
Step 1: Cut it up into pieces
△O Step 2: Write an expression for the field due to one piece R △E x 4I o( r2+ 3/2
Step 2: Write an expression for the field due to one piece. ( ) x y z R z Q E , , 4 1 3 2 2 2 0 − − + = Q R