Physics notes for class 12, Study notes of Physics

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CBSE Class-1 Physics Quick Revision Notes
Chapter-01: Electric Charges and Fields
Like Charges and Unlike Charges:
Like charges repel and unlike charges attract each other.
Conductors and Insulators:
Conductors allow movement of electric charge through them, insulators do not.
Quantization of Electric Charge:
It means that total charge (q) of a body is always an integral multiple of a basic quantum
of charge (e)
q = ne
where n = 0, ±1, ±2, ±3, ….
Additivity of Electric Charges:
Total charge of a system is the algebraic sum of all individual charges in the system.
Conservation of Electric Charges:
The total charge of an isolated system remains uncharged with time.
Superposition Principle:
It is the properties of forces with which two charges attract or repel each other are not
affected by the presence of a third (or more) additional charge(s).
The Electric Field E at a Point due to a Charge Configuration:
It is the force on a small positive test charges q placed at the point divided by a
magnitude
2
0
| |
4
q
r
π ε
It is radially outwards from q, if q is positive and radially
inwards if q is negative.
E at a point varies inversely as the square of its distance
from Q, the plot of E versus r will look like the figure
given below.
Coulomb’s Law:
The mutual electrostatic force between two point charges q
1
and q
2
is proportional to
the product q
1
q
2
and inversely proportional to the square of the distance r
21
separating
them.
^
12
21 21
2 1 2
21
( )
( on q due to q )k q q
Fforce r
r
=
Where
^
21
r
is a unit vector in the direction from q
1
to q
2
and
0
1
4
k
π ε
=
is the
proportionality constant.
An Electric Field Line:
It is a curve drawn in such a way that the tangent at each point on the curve gives the
direction of electric field at that point.
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CBSE Class-1 Physics Quick Revision Notes Chapter-01: Electric Charges and Fields

  • Like Charges and Unlike Charges: Like charges repel and unlike charges attract each other.
  • Conductors and Insulators: Conductors allow movement of electric charge through them, insulators do not.
  • Quantization of Electric Charge: It means that total charge (q) of a body is always an integral multiple of a basic quantum of charge (e) q = ne where n = 0, ±1, ±2, ±3, ….
  • Additivity of Electric Charges: Total charge of a system is the algebraic sum of all individual charges in the system.
  • Conservation of Electric Charges: The total charge of an isolated system remains uncharged with time.
  • Superposition Principle: It is the properties of forces with which two charges attract or repel each other are not affected by the presence of a third (or more) additional charge(s).
  • The Electric Field E at a Point due to a Charge Configuration: It is the force on a small positive test charges q placed at the point divided by a magnitude

2 0

q

πε r

It is radially outwards from q, if q is positive and radially inwards if q is negative. E at a point varies inversely as the square of its distance from Q , the plot of E versus r will look like the figure given below.

  • Coulomb’s Law: The mutual electrostatic force between two point charges q 1 and q 2 is proportional to the product q 1 q 2 and inversely proportional to the square of the distance r 21 separating them. 1 2 ^ 21 2 1 2 21 21

F ( force on q due to q ) k q q (^ ) r r

Where

^ r 21 is a unit vector in the direction from q 1 to q 2 and 0

k

= is the

proportionality constant.

  • An Electric Field Line: It is a curve drawn in such a way that the tangent at each point on the curve gives the direction of electric field at that point.
  • Important Properties of Field Lines: These are: (i) Field lines are continuous curves without any breaks. (ii) Two field lines cannot cross each other. (iii) Electrostatic field lines start at positive charges and end at negative charges – they cannot form closed loops.
  • Electric Field at a Point due to Charge q:

F E q

^ 

  • Electric Field due to an Electric Dipole in its Equatorial Plane at a Distance r from the Centre:

3 (^0 2 )

0

, r>>a 4

p E a r p (^) for

  • Electric Field due to an Electric Dipole on the Axis at a Distance r from the Centre:

2 2 2 0

3 0

(^2) , r>>a 4

E pr r a p (^) for r

  • A Dipole Placed in Uniform Electric Field E experiences:

Torque τ

τ = pxE

  • The Electric Flux:

φ = ∫ d φ=∫ E d s.

is a ‘dot’ product, hence it is scalar.

∆φ is positive for all values of 2

θ <^ π

∆φ is negative for all values of 2

θ >^ π

  • Gauss’s Law: The flux of electric field through any closed surface S is 1/ε0 times the total charge enclosed by S.

0

φ E d s. q

  • Electric field outside the charged shell is as though the total charge is concentrated at the centre. The same result is true for a solid sphere of uniform volume charge density.
  • The electric field is zero at all points inside a charged shell.