90. A rod bent into the arc of a circle subtends an angle 20 at the center P of the circle (see below). If the rod is charged uniformly with a total charge Q, what is the electric field at P?
90. A rod bent into the arc of a circle subtends an angle 20 at the center P of the circle (see below). If the rod is charged uniformly with a total charge Q, what is the electric field at P?
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Transcribed Image Text:py
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(a) Fai + b j and (b) 7 = ck.
=
90. A rod bent into the arc of a circle subtends an angle
20 at the center P of the circle (see below). If the rod is
charged uniformly with a total charge Q, what is the electric
field at P?
0
0
R
R
P
Transcribed Image Text:University Physics Volume X
canvas.saddleback.edu/courses/54642/files/9483208
Unit 2: Electricity and Magnetism
Chapter 5: Electric Charges and Fields
0
Ꮎ
R
R
P
Solution
Let Q=20, so 2=
E=
Ĵ
University Physics Volume X
X
▸ Physics 36 Electric Field (1 x
u ★
b A rod bent into the arc of a
▸ (21-49) A thin rod bent into X
Q
Let the variable of integration be with limits - to 0.
Ro
1 2cos ORde
1
(-D = }
Qcos ORde
2
-(-i)
1%
Qsin
4TE
R²
-00
ATE
RØR²
4TE PR² (-i)sine
- 2TE 20 R²
Qsin 0,
--(-1)
4TE 0R²
91. A proton moves in the electric field E = 200Î N/C. (a) What are the force on and the
acceleration of the proton? (b) Do the same calculation for an electron moving in this field.
Solution
1 10-19 va
2010-17
(-1)
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