Solving for force in vectors of Electric Field

In summary, the force in a vector of electric field can be calculated using the equation F = qE, where F is the force, q is the charge of the particle, and E is the electric field strength. The direction of the force is the same as the direction of the electric field. According to Coulomb's Law, the force is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. It can be negative if the charges are of opposite signs. To determine the magnitude of the force, the equation F = qE can be used, where F is the force and E is the electric field strength.
  • #1
ltruiz45
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Homework Statement


The net force on the 1.0 charge in the figure is zero.
What is q?


Homework Equations



Please see attachment for question and image.

The Attempt at a Solution



I believed you would solve F =K|q1q2|/r2
 

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  • #2
Write out the components of force that would be from each other particle on the center particle. Then set the sums for each component (one sum for up/down, one sum for left/right) equal to zero.

Or, first observe symmetry in the problem and realize one of these net force components is zero regardless of q.
 
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FAQ: Solving for force in vectors of Electric Field

How do you calculate the force in a vector of electric field?

The force in a vector of electric field can be calculated using the equation F = qE, where F is the force, q is the charge of the particle, and E is the electric field strength.

What is the direction of the force in a vector of electric field?

The direction of the force in a vector of electric field is the same as the direction of the electric field. If the electric field is positive, the force will be in the same direction. If the electric field is negative, the force will be in the opposite direction.

How does the distance between two charged particles affect the force in a vector of electric field?

According to Coulomb's Law, the force in a vector of electric field is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. This means that as the distance between two charged particles increases, the force in the electric field decreases.

Can the force in a vector of electric field be negative?

Yes, the force in a vector of electric field can be negative if the charges of the particles are of opposite signs. This means that the force will be in the opposite direction of the electric field.

How do you determine the magnitude of the force in a vector of electric field?

The magnitude of the force in a vector of electric field can be determined using the equation F = qE, where F is the force and E is the electric field strength. The magnitude of the force is equal to the product of the charge and the electric field strength.

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