The Concept of Electric Field L-1 The Concept of Electric Field
→ \rightarrow → → \rightarrow → The Concept of Electric Field → \rightarrow → → \rightarrow →
The Concept of Electric Field L-1 Electrostatics
Net force on a charge equals the combined forces.
Sum of forces from all charges affects each charge.
If there are three charges q1 ,q2 and q3
F q 1 → = F 12 → + F 13 → \overrightarrow{F_{q_{1}}} = \overrightarrow{F_{{12}}} + \overrightarrow{F_{{13}}} F q 1 = F 12 + F 13
where F 12 → \overrightarrow{F_{{12}}} F 12 1 due to q2 and F 13 → \overrightarrow{F_{{13 }}} F 13 1 due to q3
→ \rightarrow → → \rightarrow → Electrostatics → \rightarrow → → \rightarrow →
The Concept of Electric Field L-1 Concept of Electric Field
Electric field surrounds charge Q.
Affects another charge q nearby.
Causes attraction or repulsion force.
E → ( r → ) = 1 4 π ∈ 0 Q r 2 r ^ ,
F → = 1 4 π ∈ 0 Q q r 2 r ^ E ⃗ = F ⃗ q \vec{E} = \frac{\vec{F}}{q} E = q F Electric field intensity (E) is a vector quantity
Concept of Electric Field → \rightarrow → → \rightarrow → Concept of Electric Field → \rightarrow → → \rightarrow →
The Concept of Electric Field L-1 Electric Field
The total electric field at point P is the sum of electric fields produced by each charge q1 , q2 , q3 , and so on up to qn
This follows the principle of superposition of electric fields, where the total field is the vector sum of individual electric fields
To find the electric field at point P, calculate the contribution from each charge and add them together
The total electric field in the presence of n charges is given by: E ⃗ ( p ) = ∑ i = 1 N 1 4 π ϵ 0 q i r p i 2 r p i ^ \vec{E}(\mathbf{p}) = \sum_{i=1}^{N} \frac{1}{4\pi\epsilon_0} \frac{q_i}{r_{p_i}^{2}} \hat{r_{p_i}} E ( p ) = ∑ i = 1 N 4 π ϵ 0 1 r p i 2 q i r p i ^
Electrostatics → \rightarrow → → \rightarrow → Electric Field → \rightarrow → → \rightarrow →
The Concept of Electric Field L-1 Force Due to Electric Field
To calculate the electric field 1 meter from a charge of +5 nC, you can use the formula: E → = 1 4 π ε 0 q r 2 r ^
so if have a charge say -5nC then the force will be
Concept of Electric Field → \rightarrow → → \rightarrow → Force Due to Electric Field → \rightarrow → → \rightarrow →
The Concept of Electric Field L-1 Vector Field
Elctric field is form of vector field .
Field is physical quantity which take different values at different point.
T(x,y,z) Temperature field is scalar field.
P(x,y,z) Pressure field is scalar field.
v → ( x , y , z ) Velocity field is vector field.
Electric Field → \rightarrow → → \rightarrow → Vector Field → \rightarrow → → \rightarrow →
The Concept of Electric Field L-1 Vector Field
E → ( x , y , z ) : Electric field is vector field.
B → ( x , y , z ) : Magnetic field is vector field.
Field lines are known as lines of force in electric and magnetic fields.
Field lines or electric field lines visually depict the direction and strength of the electric field.
Force Due to Electric Field → \rightarrow → → \rightarrow → Vector Field → \rightarrow → → \rightarrow →
The Concept of Electric Field L-1 Vector Field
ELectric field for charge + Q at a distance r.
E → = 1 4 π ∈ 0 Q r 2 r ^
Electric field remains the same for all points having the same distance (r).
And all points lies on sphere of radius r.
The magnitude of electric field is same for all the points but direction will be different.
Vector Field → \rightarrow → → \rightarrow → Vector Field → \rightarrow → → \rightarrow →
The Concept of Electric Field L-1 Electric Field Lines
Electric field for positve charge(-Q).
The closer the field lines are to each other, the stronger the electric field in that region.
Negative charge: Field lines point towards the charge.
Positive charge: Field lines radiate outward from the charge.
Vector Field → \rightarrow → → \rightarrow → Electric Field Lines → \rightarrow → → \rightarrow →
The Concept of Electric Field L-1 Electric Field Lines
Vector Field → \rightarrow → → \rightarrow → Electric Field Lines → \rightarrow → → \rightarrow →
The Concept of Electric Field L-1 Electric Field Lines
Electric Field Lines → \rightarrow → → \rightarrow → Electric Field Lines → \rightarrow → → \rightarrow →
The Concept of Electric Field L-1 Electric Field Lines
Electric Field Lines → \rightarrow → → \rightarrow → Electric Field Lines → \rightarrow → → \rightarrow →
The Concept of Electric Field L-1 Electric Field Lines
Electric Field Lines → \rightarrow → → \rightarrow → Electric Field Lines → \rightarrow → → \rightarrow →
The Concept of Electric Field L-1 Electric Dipole
x ^ ↔ i ^
y ^ ↔ j ^
z ^ ↔ k ^
Electric Field Lines → \rightarrow → → \rightarrow → Electric Dipole → \rightarrow → → \rightarrow →
The Concept of Electric Field L-1 Electric Dipole
E → = E → + q + E → - q
E → = E → + q + E → - q
= 1 4 π ∈ 0 q ( x - q ) 2 r ^ - 1 4 π ∈ 0 q ( x + a ) 2 r ^
Electric Field Lines → \rightarrow → → \rightarrow → Electric Dipole → \rightarrow → → \rightarrow →
The Concept of Electric Field L-1 Electric Dipole
E → = q 4 π ∈ 0 4 x a ( x 2 - a 2 ) 2 r ^
Electric Dipole → \rightarrow → → \rightarrow → Electric Dipole → \rightarrow → → \rightarrow →
The Concept of Electric Field L-1 Dipole Moment
P → = = q . ( 2 a ) r ^ E → = q 4 π ∈ 0 x 2 r ^
Electric Dipole → \rightarrow → → \rightarrow → Dipole Moment → \rightarrow → → \rightarrow →
The Concept of Electric Field L-1 Dipole Moment
Electric Dipole → \rightarrow → → \rightarrow → Dipole Moment → \rightarrow → → \rightarrow →
The Concept of Electric Field L-1 Dipole Moment
= 1 4 π ϵ 0 q ( x − q ) 2 i ^ − 1 4 π ϵ 0 q ( x + a ) 2 i ^ = \frac{1}{4\pi\epsilon_0} \frac{q}{(x - q)^2} \hat{i} - \frac{1}{4\pi\epsilon_0} \frac{q}{(x + a)^2} \hat{i} = 4 π ϵ 0 1 ( x − q ) 2 q i ^ − 4 π ϵ 0 1 ( x + a ) 2 q i ^
q 4 π ϵ 0 [ 1 ( x − a ) 2 − 1 ( x + a ) 2 ] i ^ \frac{q}{4\pi\epsilon_0} \left[\frac{1}{(x - a)^2} - \frac{1}{(x + a)^2}\right] \hat{i} 4 π ϵ 0 q [ ( x − a ) 2 1 − ( x + a ) 2 1 ] i ^
= q 4 π ϵ 0 ( x + a ) 2 − ( x − a ) 2 ( x + a ) 2 ( x − a ) 2 i ^ =\frac{q}{4 \pi \epsilon_0} \frac{(x+a)^2-(x-a)^2}{(x+a)^2(x-a)^2} \hat{i} = 4 π ϵ 0 q ( x + a ) 2 ( x − a ) 2 ( x + a ) 2 − ( x − a ) 2 i ^
Dipole Moment → \rightarrow → → \rightarrow → Dipole Moment → \rightarrow → → \rightarrow →
The Concept of Electric Field L-1 Dipole Moment
Dipole Moment → \rightarrow → → \rightarrow → Dipole Moment → \rightarrow → → \rightarrow →
The Concept of Electric Field L-1 Problem
Write an expression for the electric field produced by a ponit charge placed hat a point with coordination ( x 0 , y 0 , z 0 ) .
E → ( x , y , z ) .
Write an expression for the electric field produced by a ponit charge placed hat a point with coordination ( x 0 , y 0 , z 0 ) .
Dipole Moment → \rightarrow → → \rightarrow → Problem → \rightarrow → → \rightarrow →
The Concept of Electric Field L-1 Thank You
Dipole Moment → \rightarrow → → \rightarrow → Thankyou → \rightarrow → → \rightarrow →
Resume presentation
The Concept of Electric Field L-1 The Concept of Electric Field $\rightarrow$ $\rightarrow$ The Concept of Electric Field $\rightarrow$ Electrostatics $\rightarrow$ Concept of Electric Field
