We are going to calculate the on-axis electric field due to a rod with uniform linear charge density. We will assume that a rod of length L and linear charge density A lies along the z-axis. We will calculate the electric field at point P, which is along the axis of the rod and a distance d from its left end. Po X * d L dQ Our equation sheet tells us that d = K -. In this problem, every piece of differential electric 7.2 field de points in the same direction (to the left when A is positive). Because of this we can ignore direction in this problem and just say that E dE, and treat everything as positive inside the - [dE integral. Therefore E dQ 72 Step 1: In the box below, click Vars and then choose the combination of these variables that gives us the differential charge dQ. dQ

We are going to calculate the on-axis electric field due to a rod with uniform linear charge density. We will assume that a rod of length L and linear charge density A lies along the z-axis. We will calculate the electric field at point P, which is along the axis of the rod and a distance d from its left end. Po X * d L dQ Our equation sheet tells us that d = K -. In this problem, every piece of differential electric 7.2 field de points in the same direction (to the left when A is positive). Because of this we can ignore direction in this problem and just say that E dE, and treat everything as positive inside the - [dE integral. Therefore E dQ 72 Step 1: In the box below, click Vars and then choose the combination of these variables that gives us the differential charge dQ. dQ

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

We are going to calculate the on-axis electric field due to a rod with uniform linear charge density.
We will assume that a rod of length L and linear charge density A lies along the x-axis. We will
calculate the electric field at point P, which is along the axis of the rod and a distance d from its left
end.
P.
X
* d
dQ
Our equation sheet tells us that d = K
-. In this problem, every piece of differential electric
7.2
field de points in the same direction (to the left when A is positive). Because of this we can ignore
dE, and treat everything as positive inside the
- fdE
direction in this problem and just say that E
integral. Therefore E
L
dQ
72
Step 1: In the box below, click Vars and then choose the combination of these variables that gives us
the differential charge dQ.
dQ

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