Answer :
Final answer:
To find the location where a 6.00 uC charge would experience no net force due to two fixed charges, we can use the concept of electric force and Coulomb's Law. We can calculate the forces on the 6.00 uC charge due to each fixed charge, set them equal to each other, and solve for the distance x. The 6.00 uC charge should be placed at a certain distance from the 3.00 uC charge to experience no net force.
Explanation:
To find the location where a 6.00 uC charge would experience no net force due to two fixed charges, we can use the concept of electric force and Coulomb's Law. The electric force between two charges is given by the equation F = k*q1*q2 / r^2, where F is the force between the charges, q1 and q2 are the magnitudes of the charges, r is the distance between the charges, and k is the electrostatic constant. In this case, we have a fixed charge of 3.00 uC and a fixed charge of 1.00 uC separated by 6.00 cm. We need to find the location where the net force on a 6.00 uC charge is zero.
Let's assume the 6.00 uC charge is placed at a distance x from the 3.00 uC charge. According to Coulomb's Law, the force on the 6.00 uC charge due to the 3.00 uC charge is given by F1 = k*(6.00 uC)*(3.00 uC) / (x^2).
The force on the 6.00 uC charge due to the 1.00 uC charge is given by F2 = k*(6.00 uC)*(1.00 uC) / ((0.06 - x)^2).
Since we want the net force on the 6.00 uC charge to be zero, we can set F1 equal to F2 and solve for x. After finding the value of x, we can determine where the 6.00 uC charge should be placed so that it experiences no net force due to the two charges.
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