Given two particles with 2.00 micro coulomb charges as shown and a particle with a charge q=1.28x16-18C at the origin. (A)What is the net force exerted by the two 2.00 micro coulomb charges on test charge q? (B)What is the electric field at the origin due to the two 2.00micro coulomb particles? (C)What is the electric potential at the origin due to the two 2.00micro coulomb particles?
You did not provide the "as shown" figure and also wrote the charge of q incorrectly.
This problem requires an adding up of the electric fields or potentials due to each particle, for which you need to know the locations of the 2 uC charges. You should be able to do this yourself. We are here to teach and explain, not to do your homework for you.
i know the answers to parts a and b the answer is simple if you consider the directions of the forces. however for part c does potential at origin simply equal the potential from one charge doubled. V = 2(k)(q-particle)/r?
To find the answers to parts (A), (B), and (C), we can use Coulomb's Law, which states that the force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.
(A) To find the net force exerted by the two 2.00 micro coulomb charges on the test charge q, we can use Coulomb's Law as follows:
1. Find the distance between charge q and each of the two 2.00 micro coulomb charges. Let's call these distances d1 and d2.
2. Calculate the force between charge q and each of the two 2.00 micro coulomb charges using Coulomb's Law:
F1 = (k * |q| * |2.00 μC|) / (d1)^2
F2 = (k * |q| * |2.00 μC|) / (d2)^2
(where k is the electrostatic constant, approximately equal to 8.99 x 10^9 N m^2/C^2)
3. Add the forces vectorially to find the net force:
F_net = F1 + F2
(B) To find the electric field at the origin (due to the two 2.00 micro coulomb particles), we can use the definition of electric field as the force per unit charge:
1. Calculate the force exerted on a hypothetical test charge at the origin by one of the 2.00 micro coulomb particles:
F1 = (k * |2.00 μC| * |q|) / (d1)^2
2. Calculate the force exerted on the same hypothetical test charge by the other 2.00 micro coulomb particle:
F2 = (k * |2.00 μC| * |q|) / (d2)^2
3. Calculate the electric field at the origin due to each of the two 2.00 micro coulomb particles using the definition of electric field:
E1 = F1 / |q|
E2 = F2 / |q|
4. Add the electric fields vectorially to find the net electric field:
E_net = E1 + E2
(C) To find the electric potential at the origin (due to the two 2.00 micro coulomb particles), we can use the definition of electric potential as the work done per unit charge:
1. Calculate the work done when bringing a hypothetical test charge from infinitely far away to the origin against the electric field created by one of the 2.00 micro coulomb particles:
W1 = (k * |2.00 μC| * |q|) / d1
2. Calculate the work done when bringing the same hypothetical test charge from infinitely far away to the origin against the electric field created by the other 2.00 micro coulomb particle:
W2 = (k * |2.00 μC| * |q|) / d2
3. Calculate the electric potential at the origin due to each of the two 2.00 micro coulomb particles using the definition of electric potential:
V1 = W1 / |q|
V2 = W2 / |q|
4. Add the electric potentials to find the net electric potential:
V_net = V1 + V2
Please provide the values of d1 and d2 so that we can proceed with the calculations.
To find the net force exerted on the test charge q, we can use Coulomb's Law:
F = k * (|q1 * q2| / r^2)
Where:
- F is the force between the two charges
- k is the Coulomb's constant (k = 8.99 x 10^9 N m^2 / C^2)
- q1 and q2 are the charges in coulombs of the two interacting particles
- r is the distance between the charges
In this case, we have two particles with a charge of 2.00 micro coulombs each, and the test charge has a charge of q = 1.28 x 10^-18 C. The distance between the charges is not given in the question, so we need additional information to solve for the net force.
To find the electric field at the origin due to the two 2.00 micro coulomb particles, we can use the equation:
E = k * (|q1 / r^2|)
Where:
- E is the electric field
- k is the Coulomb's constant
- q1 is the charge of one of the particles
- r is the distance between the origin and the charges
To find the electric potential at the origin due to the two 2.00 micro coulomb particles, we can use the equation:
V = k * (|q1 / r|)
Where:
- V is the electric potential
- k is the Coulomb's constant
- q1 is the charge of one of the particles
- r is the distance between the origin and the charges.
Again, we need more information about the distance in order to calculate the electric field and electric potential.