4. An insulating semicircular arc of radius R consists of two quarters. One quarter has a total charge -Q uniformly distributed and the other half +Q. Find the electric field at the center P

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4. An insulating semicircular arc of radius R consists of two quarters. One quarter has a total
charge -Q uniformly distributed and the other half +Q. Find the electric field at the center P
Id=1= k ldq|
R²
e =
Ex=SdEx = S-2/del cose
=
dEx=-2 IdEl cose
J-₂00
1-2 cos oldE)
= S-2 cosok d
R2
2Q
TR
I cos (o) (k 20 do)
R2
de
Jeans
=Q₂ =de
Пр ds
dq →
edo
Sin (45)
Cos (45°)
+++
rdq
dq=/2Q R de
TR
use thi
kemisen
S=RO
1
const
ds =R do
Transcribed Image Text:4. An insulating semicircular arc of radius R consists of two quarters. One quarter has a total charge -Q uniformly distributed and the other half +Q. Find the electric field at the center P Id=1= k ldq| R² e = Ex=SdEx = S-2/del cose = dEx=-2 IdEl cose J-₂00 1-2 cos oldE) = S-2 cosok d R2 2Q TR I cos (o) (k 20 do) R2 de Jeans =Q₂ =de Пр ds dq → edo Sin (45) Cos (45°) +++ rdq dq=/2Q R de TR use thi kemisen S=RO 1 const ds =R do
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