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
$\overrightarrow{F_{q_{1}}} = \overrightarrow{F_{{12}}} + \overrightarrow{F_{{13}}}$
where $\overrightarrow{F_{{12}}}$ is the force on q1 due to q2 and $\overrightarrow{F_{{13 }}}$ is the force on q1 due to q3
$\vec{E}$ = $\frac{9 \times 10^9 \times 5 \times 10^{-9}}{1} \hat{r}$
$ = 45 \left(\frac{N}{C}\right) \hat{r}$
$\vec{F} = -45 \times 5 \times 10^{-9} $
$ = -225 \times 10^{-9} N \hat{r}$
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.
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.
x ^ ↔ i ^
y ^ ↔ j ^
z ^ ↔ k ^
E → + q = 1 4 π ∈ 0 q ( x - a ) 2 r ^
E → - q = - 1 4 π ∈ 0 q ( x + a ) 2 r ^
E → = E → + q + E → - q
= q 4 π ∈ 0 [ 1 ( x - a ) 2 - 1 ( x + a ) 2 ] r ^
= q 4 π ∈ 0 ( x + a ) 2 - ( x - a ) 2 ( x + a ) 2 ( x - a ) 2 r ^
$\vec{E} =\frac{q}{4 \pi \epsilon_0} \frac{4 x a}{\left(x^2-a^2\right)^2} \hat{i}$
x > > a
E → = q 4 π ∈ 0 4 x a x 4 r ^
= q 4 π ∈ 0 4 a x 3 r ^
= q ( 2 a ) 2 π ∈ 0 x 3 r ^
= P → 2 π ∈ 0 x 3
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 ) .