## elica85 Group Title the potential as a function of position x is shown in the graph... 2 years ago 2 years ago

1. elica85 Group Title

|dw:1332350001701:dw|

2. elica85 Group Title

i tried to draw a smooth curve

3. elica85 Group Title

is the electric field zero at x=0? is the max magnitude at 15 or 5cm?

4. ash2326 Group Title

Electric Field is defined as $E=-\frac{dv}{dx}$ v= potential so E is the negative of the slope of the potential curve. Do note that E found from this relation is the E in x - direction. At x=0 the curve is parallel to x -axis, that is it's constant so E=0 At x=5 the slope is negative and magnitude wise the highest. So E will be max at x=5 cm

5. elica85 Group Title

how do you determine that the curve is parallel to x axis @ x=0? it doesn't look like it on my graph but in the actual graph, it looks parallel at x=10 too

6. elica85 Group Title

i assumed E was zero at x=0 since d(v=0) should be zero so E=(d0)/dx=0

7. ash2326 Group Title

No if v=0 doesn't mean that E=0 but the negative of slope of V is E, Yeah at x=10 also the slope is zero. So there also E is zero

8. elica85 Group Title

hmm still confused. i need the negative of the slope of V to find where E is zero? or to find the max magnitude? and which direction is the E at the max point?

9. elica85 Group Title

|dw:1332352015313:dw| is this what the graph of E look like?

10. ash2326 Group Title

Ok Elica, Yeah Electric field is the negative of the voltage's slope. When we have Voltage constant or parallel to axis. Then it's slope is zero and consequently E is zero

11. elica85 Group Title

ok i understand. so is the graph i did for E right?

12. ash2326 Group Title

If V is cos then E will be sine

13. ash2326 Group Title

x=0, v=constant so E will be zero

14. elica85 Group Title

ok so it's not right. how do i determine the direction of E at x=0 or x=10?

15. ash2326 Group Title

|dw:1332352349621:dw|

16. ash2326 Group Title

E is in the x direction always:)

17. elica85 Group Title

so right either way

18. ash2326 Group Title

Yeah, when E is negative that means it's in -x direction

19. elica85 Group Title

thank you so much

20. ash2326 Group Title

Welcome, Did you understand?

21. elica85 Group Title

yes, that was great help