Question

Three charged marbles are glued to a nonconducting surface and are placed in the diagram as shown. The charges of each marble are 41 - 6.70 UC, 92 - 1.10 PC. and G3 = -1.50 PC. Marble G is a distance (1 - 3.00 cm to the left of the marble 92, while marble as a distance (g = 2.00 on to the right of the marble 42, as shown. 43 93 observation point Calculate the magnitude of the electric field a distance - 1.00 cm to the left of the center marble. X What is the electric field due to each individual marble? How do you And the total or "net" electric field when you have several electric fields? N/C Another marble is placed 1 cm to the left of the middle marble. If this new marble has a charge of 3.50 PC, calculate the magnitude and direction of the force on it. x magnitude If you know the electric field, how do you calculate the force on a charge in that electric field? Did you convert all of your values to 51 units (meters, kilograms. Coulomes, seconds)? N direction ngint

Answer 1

To calculate the magnitude of the electric field a distance 1.00 cm to the left of the center marble, use Coulomb's law and the formula E = k * q / r2. To find the force on a charge in an electric field, use the formula F = q * E. The values given do not need to be converted to SI units as long as the units are consistent.

Step-by-step explanation:

The magnitude of the electric field a distance 1.00 cm to the left of the center marble can be calculated using Coulomb's law. The electric field is the force per unit charge, so we can find the electric field due to each individual marble and then sum them up to find the net electric field.

To calculate the electric field due to each individual marble, we can use the formula:

E = k * q / r2

where E is the electric field, k is the electrostatic constant (8.99 × 10^9 Nm^2/C^2), q is the charge of the marble, and r is the distance between the marble and the observation point.

By plugging in the given values, we can calculate the electric field due to each marble and then sum them up to find the total electric field at the observation point.

Once we have the electric field, we can calculate the force on a charge by using the formula:

F = q * E

where F is the force, q is the charge, and E is the electric field.

By determining the direction and magnitude of the force, we can calculate the force on a new marble placed 1 cm to the left of the center marble.

Finally, it is not necessary to convert all the values to SI units (meters, kilograms, Coulombs, seconds) as long as all the units are consistent.