Electricity and Magnetism

E–342 Electricity and Magnetism

(a) Compute the total charge on the rod.

(b) Compute the electric field produced by the charged rod at points lying along the

axis of the rod, viz., P = (x

P

, 0), where x

P

> L/2.

(c) Take the far-field limit, x

P

≫ L/2, of your result in (b).

(d) Compute the electric field produced by the charged rod at points lying along the

perpendicular bisector of the rod, P = (0 , y

P

).

(e) Take the far-field limit, y

P

≫ L/2, of your result in (d).

E.33 [See also E.76.] Repeat E.32 when λ = λ

0

|x|

L

.

E.34 [See also E.77.] Repeat E.32 when λ = λ

0

x

3

L

3

.

E.35 [See also E.78.] Repeat E.32 when λ = λ

0

cos



π x

2 L



.

E.36 [See also E.79.] Repeat E.32 when ...