Calculating Electric Field Near Two Wires Using Vector Notation

AI Thread Summary
To calculate the electric field near two wires, unit vector notation is essential for clarity in direction and magnitude. Each wire generates its own electric field, which can be calculated independently before combining them. The total electric field is determined by vector addition of the individual fields, taking into account their directions, which radiate outward from uniformly charged wires. It's important to clarify the parameters in the equations used, such as the meaning of R. Understanding these concepts will help in accurately solving the problem without needing direct solutions.
tscuseria
Messages
1
Reaction score
0
I'm not asking for the solutions, I just need to know what methods to use.

Homework Statement

bprZ9.png


The Attempt at a Solution



I got this equation using this method

hq4KL.png


but I don't know how to apply it to the questions. I think I need to be using unit vector notation as well?

Also, it asks for the total field, but don't both wires cancel each other out?
 
Physics news on Phys.org
If By ρ you mean λ ...

What do you think R is in your eqn?

Using that you can easily find Electric field due to 2 wires independently and also using some trigo you can also find the directions (directions are radially outwards from long uniformly charged wires)
Then just sum the individual E using vector additions law.
 

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Magnetic field due to electric wire
Replies
6
Views
1K
Confused about direction of electric field
Replies
7
Views
3K
Why is magnetic field B along a straight wire circular not radial?
Replies
14
Views
3K
Electric field of wire and cylinder at one point in space
Replies
5
Views
1K
Change in the Electric Field Due to a Copper Wire Being Inserted
Replies
14
Views
5K
Electromagnetism question -- Forces between two current carrying wires
Replies
7
Views
3K
Position for maximum electric field between two wires
Replies
10
Views
2K
Why Does the Electric Field Sum Instead of Cancel with Opposite Charges?
Replies
6
Views
2K
Electric field in nonmagnetic material given a magnetic field
Replies
1
Views
1K
Electric field at a point within a charged circular ring
2
Replies
68
Views
7K

Hot Threads

Recent Insights

Back
Top