charge 2. A wire which carries uniform euren à density is shaped in a quarter circle of radius R. as shown in the sketch. (a) Use Coulomb's law to derive an expression for the electric field at point P, the centre of curvature. Leave your answer in unit vector notation (6) (b) What is the magnitude and direction of the field at P? (2) eld at point P. (1)

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Chapter1: Units, Trigonometry. And Vectors
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My previous request was flagged. So here is provided proof that this is not an existing test. As you can see this Test was written on the 20th of October. It is a past paper.

"OMEZ
4.
3.
1.
2.
UWC-PHYSICS 222 (EM) TEST2
charge
A wire which carries uniform eurrent
à density is shaped in a quarter circle
of radius R. as shown in the sketch.
(a) Use Coulomb's law to derive an
expression for the electric field at
point P, the centre of curvature. Leave
your answer in unit vector notation (6)
Thursday 20 October 2022
Write down the laws specifying the divergence and curl of the both electrostatic and magnostatic
fields and name them.
(b) What is the magnitude and direction of
the field at P?
(2)
(c) Sketch the electric field at point P. (1)
(d) Without calculation, what is the field
point P for the situation shown?
Motivate your answer.
A straight wire of length 21 carries uniform
line charge density . Use Coulomb's law to
show that the components of the electric
parallel to the wire cancel.
V₁=
R²G
(2)
A spherical shell of radius R carries uniform surface a.
(a) Show that the potential inside and outside the
shell is respectively given by
R²o
E
[6]
and V= respectively. (6)
(b) Use - VV to derive the expressions for the
electric field inside and outside the shell. (3)
[9]
maga
A HOBUS NIETLJENSIALISTE
IN
L
WYER
P
G
the
0
[6]
www.un
[11]
L x
8000000
+
VOL
1
S
HS-2
Transcribed Image Text:"OMEZ 4. 3. 1. 2. UWC-PHYSICS 222 (EM) TEST2 charge A wire which carries uniform eurrent à density is shaped in a quarter circle of radius R. as shown in the sketch. (a) Use Coulomb's law to derive an expression for the electric field at point P, the centre of curvature. Leave your answer in unit vector notation (6) Thursday 20 October 2022 Write down the laws specifying the divergence and curl of the both electrostatic and magnostatic fields and name them. (b) What is the magnitude and direction of the field at P? (2) (c) Sketch the electric field at point P. (1) (d) Without calculation, what is the field point P for the situation shown? Motivate your answer. A straight wire of length 21 carries uniform line charge density . Use Coulomb's law to show that the components of the electric parallel to the wire cancel. V₁= R²G (2) A spherical shell of radius R carries uniform surface a. (a) Show that the potential inside and outside the shell is respectively given by R²o E [6] and V= respectively. (6) (b) Use - VV to derive the expressions for the electric field inside and outside the shell. (3) [9] maga A HOBUS NIETLJENSIALISTE IN L WYER P G the 0 [6] www.un [11] L x 8000000 + VOL 1 S HS-2
charge
2. A wire which carries uniform eurren
à density is shaped in a quarter circle
of radius R. as shown in the sketch.
(a) Use Coulomb's law to derive an
expression for the electric field at
point P, the centre of curvature. Leave
your answer in unit vector notation (6)
(b) What is the magnitude and direction of
the field at P?
(c) Sketch the electric field at point P. (1)
(d) Without calculation, what is the field
point P for the situation shown?
Motivate your answer.
(2)
x
[11]
Transcribed Image Text:charge 2. A wire which carries uniform eurren à density is shaped in a quarter circle of radius R. as shown in the sketch. (a) Use Coulomb's law to derive an expression for the electric field at point P, the centre of curvature. Leave your answer in unit vector notation (6) (b) What is the magnitude and direction of the field at P? (c) Sketch the electric field at point P. (1) (d) Without calculation, what is the field point P for the situation shown? Motivate your answer. (2) x [11]
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