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Electrostatics & electric fields
All charged objects have an electric field
about themselves.
The electric field is a space or region in which
a charge would experience a force, if placed
in the electric field.
The direction of the field is the direction in
which a +1 C (test charge) would move, if
placed in the field.
1
Electrostatics & electric
fields
Just as the earth has a
gravitational field about it,
so charged objects have
electric fields about them.
In order to establish the
direction of the field about
a charged object, place a
small + test charge near
the object and see which
way it would move – if left
near the charged object.
2
Field Patterns in different electric fields
Field about a
point charge
Field about
like point
charges
Field about
opposite
point charges
Field between
parallel plates
Field on
outside of
hollow object
These are photos
& don’t show
directions
Basic electric field
3
The following represents ideal patterns
of electric fields.
Field about
+ charge
Field about
2 positive
charges
Field
between
parallel
plates
Field between
2 opposite
charges
Electric field
lines
4
The distribution of charge on a
conductor depends on its shape.
More charge gathers at the pointed, sharp end of a
conductor.
5
Electric field strength
Just as the gravitational field of the earth (or a
planet) is determined by:
The electric field strength is found by placing a
charge in an electric field and measuring the force
experienced by the charge:
E =
F
q
Def.: Electric field strength at a point in an electric field is
the force experienced per unit charge placed at that point.
The unit is N.C-1 and it is a vector quantity.
Now do some calculations involving electric field strength.
g =
Fg
m F = qE
Both E & F are
vector quantities.
Electric field near point charge
6
Electric field strength near a charged object
F = k
Q1Q2
r2
Consider: and F = qE
Since these forces are equal, we can combine the
equations and now we have:
kQ
E =
r2
Where: E = electric field strength (in N.C-1)
Q = charge in C.
r = dist. in m. & k = 9 x 109 N.m2.C-2
Charged object
Find the electric field
strength at this point
Electric field strength
7
Electric field strength near
2 charged objects
B
A
C
-2µC
-1µC
kQ
E =
r2Using find the strength
of the electric at C relative to the
charge at A.
Using the same formula, find the
strength of the field at C, relative
to the charge at B.
Now find the resultant field
strength R by adding the two
vectors CA & CB. This the
resultant field strength at point C.
R
8
The elementary charge
Objects obtain charges by the addition or removal of
electrons.
Robert Millikan established that the smallest possible
charge was the charge on the electron and it has the
value of -1,6 x 10-19 C.
It is called the elementary charge.
1 Coulomb of charge contains:
1 C
1,6 x 10-19 C
= 6,25 X 1018 ē
This is a very large number
of electrons!
The proton carries the same elementary charge as the
electron & is +1,6 x 10-19 C.
Elementary charge
9
Conservation of charge
Since objects can become charged by adding or
removing electrons, it follows that the negative
charge removed equals the positive charge
remaining on the object.
The total amount of charge thus remains the same.
Charge = +10-6 C
Charge removed = -10-6 C
The total charge thus remains
constant & we say:
charge is conserved.
Principle of conservation of charge:
In a closed system, the total amount of charge is
constant.
Conservation of charge
10
Conservation of charge
On touching 2 charged metal spheres, ē will flow
from the more negative sphere to the less negative
sphere and
if the spheres are identical, the charge on each
sphere after touching will be the same.
To find the charge on each after touching:
Q =
Q1 + Q2
2
+2 x 10-6 C +3 X 10-6 C
Before touching
After touching:
Charge on each: +2,5 x 10-6 C
Electrons flow from A to B.
A B
Find the number of
electrons that moved to B.
Charges
11

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Electrostatics & electric fields explained

  • 1. Electrostatics & electric fields All charged objects have an electric field about themselves. The electric field is a space or region in which a charge would experience a force, if placed in the electric field. The direction of the field is the direction in which a +1 C (test charge) would move, if placed in the field. 1
  • 2. Electrostatics & electric fields Just as the earth has a gravitational field about it, so charged objects have electric fields about them. In order to establish the direction of the field about a charged object, place a small + test charge near the object and see which way it would move – if left near the charged object. 2
  • 3. Field Patterns in different electric fields Field about a point charge Field about like point charges Field about opposite point charges Field between parallel plates Field on outside of hollow object These are photos & don’t show directions Basic electric field 3
  • 4. The following represents ideal patterns of electric fields. Field about + charge Field about 2 positive charges Field between parallel plates Field between 2 opposite charges Electric field lines 4
  • 5. The distribution of charge on a conductor depends on its shape. More charge gathers at the pointed, sharp end of a conductor. 5
  • 6. Electric field strength Just as the gravitational field of the earth (or a planet) is determined by: The electric field strength is found by placing a charge in an electric field and measuring the force experienced by the charge: E = F q Def.: Electric field strength at a point in an electric field is the force experienced per unit charge placed at that point. The unit is N.C-1 and it is a vector quantity. Now do some calculations involving electric field strength. g = Fg m F = qE Both E & F are vector quantities. Electric field near point charge 6
  • 7. Electric field strength near a charged object F = k Q1Q2 r2 Consider: and F = qE Since these forces are equal, we can combine the equations and now we have: kQ E = r2 Where: E = electric field strength (in N.C-1) Q = charge in C. r = dist. in m. & k = 9 x 109 N.m2.C-2 Charged object Find the electric field strength at this point Electric field strength 7
  • 8. Electric field strength near 2 charged objects B A C -2µC -1µC kQ E = r2Using find the strength of the electric at C relative to the charge at A. Using the same formula, find the strength of the field at C, relative to the charge at B. Now find the resultant field strength R by adding the two vectors CA & CB. This the resultant field strength at point C. R 8
  • 9. The elementary charge Objects obtain charges by the addition or removal of electrons. Robert Millikan established that the smallest possible charge was the charge on the electron and it has the value of -1,6 x 10-19 C. It is called the elementary charge. 1 Coulomb of charge contains: 1 C 1,6 x 10-19 C = 6,25 X 1018 ē This is a very large number of electrons! The proton carries the same elementary charge as the electron & is +1,6 x 10-19 C. Elementary charge 9
  • 10. Conservation of charge Since objects can become charged by adding or removing electrons, it follows that the negative charge removed equals the positive charge remaining on the object. The total amount of charge thus remains the same. Charge = +10-6 C Charge removed = -10-6 C The total charge thus remains constant & we say: charge is conserved. Principle of conservation of charge: In a closed system, the total amount of charge is constant. Conservation of charge 10
  • 11. Conservation of charge On touching 2 charged metal spheres, ē will flow from the more negative sphere to the less negative sphere and if the spheres are identical, the charge on each sphere after touching will be the same. To find the charge on each after touching: Q = Q1 + Q2 2 +2 x 10-6 C +3 X 10-6 C Before touching After touching: Charge on each: +2,5 x 10-6 C Electrons flow from A to B. A B Find the number of electrons that moved to B. Charges 11