A radial electric field is described by

Sunday, 12 August 2018

6:27 PM

Machine generated alternative text:
Question: 
A radial electric field is described by 
and is directed out trom the origin. Take the electric potential, V, at oo to be 0 (V 
part 1) 
Write an expression tor the electric potential a radial distance R trom the origim 
part 2) 
Calculate the change in electric potential as a panicle moves from rl = 9.25 cm to Y2 = 
part 3) 
4.81x10 
NIC 
11.12 cm in this field. 
It a proton is placed at rest at Tl = 9.25 cm in this field what speed will it nave when it reaches "2 = 
11.12 cm? (Apan trom this field, no other forces act on the proton.)

 

Machine generated alternative text:
Feedback tor Part 1) 
The electric potential is related to the electric field through: 
In this case E 
4.81x10-2 
cls. 
. We should consider the case where a test particle is moved along a radial path trom r = DO (as V 
R 4.81x10Q 
dr 
0 there) to r = 
-4.81 x 10 2 
2r2 
= 4.81 x 10 2 
2R2 
Marks for this submissiom 0.00/0.33. This submission attracted a penalty of 0.11 
Feedback tor Part 2) 
4.81x10-2 1 
The electric potential at R is 
, moving from R = Tl to R = we obtain: 
AV = 142 
4.81 x lo- 
4.81x10- 
2 
Remember to convert Tl and from cm to m. 
Marks for this submissiom 0.00/0.33. This submission attracted a penalty of 0.11 
Feedback tor Part 3) 
The change in electrical potential energy is equal to the gain in kinetic energy so: 
L m + qAV — 0 
2qAV 
Note that AV here is a negative number as the potential decreases. The mass and charge ot the proton are on your data sheet. 
Marks for this submissiom 0.00/0.33. This submission attracted a penalty of 0.11 
0.02405 
A correct answer is 
, which can be typed in as follows: 
R2 
A correct answer —0.866, which can be typed in as follows: 
-e .866 
A correct answer is 12900, which can be typed in as follows: 
12gee

 

 

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