Two charges of -5 x 10(power -6) C and
3 x 10(power -6) C are placed at distance of 200mm from each other , find point on the line joining the charges at which electric field is zero.
Well,it wont be in between them, E from each points in the same direction.
http://www.jiskha.com/search/index.cgi?query=charges+at+which+electric+field+is+zero
i need any1 to solve it :P
To find the point on the line joining the charges at which the electric field is zero, we can use the principle of superposition. The electric field due to each charge individually can be calculated using Coulomb's Law, and then we can add them vectorially to find the net electric field.
Here are the steps to find the point:
Step 1: Calculate the electric field due to each charge individually.
The electric field due to a point charge can be calculated using the formula: E = k * (Q / r^2), where:
- E is the electric field
- k is the Coulomb's constant (k = 9 x 10^9 N m^2/C^2)
- Q is the charge
- r is the distance from the charge
For the first charge (-5 x 10^(-6) C):
E1 = k * (Q1 / r1^2)
For the second charge (3 x 10^(-6) C):
E2 = k * (Q2 / r2^2)
Step 2: Add the electric fields due to both charges.
To find the net electric field at any point on the line, we need to add the electric fields created by both charges. Since electric fields are vector quantities, we need to consider both magnitude and direction.
The net electric field at any point on the line is given by:
E_net = E1 + E2
Step 3: Set the net electric field to zero.
Since we want to find the point where the electric field is zero, we can set E_net = 0.
E1 + E2 = 0
Step 4: Solve the equation to find the point.
Substitute the equations for E1 and E2 into the equation from Step 3. Solve for the distance, r, from one of the charges.
k * (Q1 / r1^2) + k * (Q2 / r2^2) = 0
Simplify the equation and solve for r.
Finally, calculate the position on the line by subtracting the known distance (200 mm) from the distance obtained in the previous step. The negative value indicates the position on the opposite side of the first charge.
This process will give you the specific point on the line joining the charges at which the electric field is zero.