The figure shows three circular arcs centered at the origin of a coordinate system

The figure shows three circular arcs centered on the origin of a coordinate system. On each arc, the uniformly distributed charge is given in terms of Q = 2.00 µC. The radii are given in terms of R = 10.0 cm. What are the (a) magnitude and (b) direction (relative to the positive x direction) of the net electric field at the origin due to the arcs?

[davidsasoonian]

The sense of calmness i get, when i google a problem and see your yellow icon is life saving, thank you

[zezerminatorz]

Rotating the coordinate axes allows the y components to cancel out. But if you don't want to rotate the coordinate axes, then just write the equations for the x/y components of the electric field and integrate from 0 to 90 degrees for each component. Then, just use Pythagorean theorem and you will get the sqrt(2) needed.

[omarmetwally]

Thanks man, helped me with my midterm!!

[abdulraffay]

I was struggling with this question, thank you.

[sartorius]

Thanks for the videooo, it was a great help

[namratadas]

very thankful for the numericals problem in different topics

[bro]

Hey, hope you will be noticing..
In the 5th minute you said, we will have to intergrate from -45 to +45, and that make sense, because you rotated the drill, but if you keep it in the original way, its from 90 to 180.
Now, the catch is I have done it like the drill is, from 90 to 180 and I dont get the answer ofcrouse, thanks for you time, I'd like to know why its different, and where's my mistake when im doing from 90 to 180, half pi to full pi.


thanks.

[lianansan]

thank you so much, it was really helpful

[sandeepdesai]

the linear charge density of second and third arc if we take and simplify the answer we get is different, it is 3.24 x 10^6 N/C

[yiylesnx]

how could you know that the x component will cancel without moving the arcs?

[allecram]

Why we can not integrate using 0º to 90º?

[lindseylune]

Why can't you integrate from 0-90'

[abdulraffay]

Why cant we use the limits 90 and 180 here ?

The direction -45 degree clockwise, isn't it?

[CBlei]

isn't sin pi /4 1/sqrt(2)??? otherwise nice video