how to determine the net electric force on q3
q3= + 10 uC
distance from q3 to q2 =40 cm
distance from q1 to q2 =50 cm
distance from q1 to q3 = 30 cm
q2 =-80 uC
q1=+50 uC
To determine the net electric force on q3, we need to calculate the individual electric forces between q3 and q1, as well as between q3 and q2. Then, we can sum up these individual forces to find the net electric force.
The formula to calculate the electric force between two point charges is given by Coulomb's Law:
F = k * |q1 * q2| / r^2
Where:
F is the electric force
k is the electrostatic constant (9 x 10^9 Nm^2/C^2)
q1 and q2 are the magnitudes of the charges
r is the distance between the charges
Let's calculate the electric force between q3 and q1 first:
q1 = +50 uC = +50 x 10^-6 C
q3 = +10 uC = +10 x 10^-6 C
r = 30 cm = 30 x 10^-2 m
Using Coulomb's Law:
F1 = k * |q1 * q3| / r^2
Next, let's calculate the electric force between q3 and q2:
q2 = -80 uC = -80 x 10^-6 C
r = 40 cm = 40 x 10^-2 m
Using Coulomb's Law:
F2 = k * |q2 * q3| / r^2
Now, we can calculate the net electric force on q3 by summing up F1 and F2:
Net Electric Force on q3 = F1 + F2
Substitute the values into the formulas and perform the calculations to find the net electric force on q3.