What is the magnitude of the electric force on charge a in the figure?

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Part A –
What is the magnitude of the electric force on charge A in the figure?
F=______N Part B
What is the direction of the electric force on charge A in the figure? Choose best answer.
(a)to the left
(b)to the right
(c)the force is zero

Answer

General guidance

Concepts and reason
The concepts used to solve the question is a diagram and Coulomb’s law in electrostatics. At first, draw the diagram of the two point charges and then determine the magnitude and direction of two charges at the required point by using Coulomb’s law in electrostatics.

Fundamentals

Coulomb’s law states that the force of attraction or repulsion between two point charges is directly proportional to the magnitude of the charges and inversely proportional to the square of the distance between the two charges” Mathematically, it is defined as, bby Here, is the Coulomb constant and are the two point charges and is the distance between two charges.

Step-by-step

Step 1 of 2

(A) The diagram for the three-point charges is drawn below. FC
B
-1 nC
1 nc
4 nC
1 m
1 m The electric force at point A due to the charge at point B is, F
= kqx9s
(AB) Here, are the two point charges and is the distance between charges. Substitute 9x10° N-m²/C for, for, for and for FAB=k9993
(AB)?
(9x10° N·mº C)(i ne ( 1 1 ne m )
(1 m)
=9x10-N The electric force at point A due to the charge at point C is, Exc = kqx9c
(AC) Here, are the two point charges and is the distance between charges. Substitute 9x10° N-m²/C for, for, for and for Erc = kq,ac
(AC)?
(9x10° N*m? (C)/1 nel 19 m) anc( 0 m )
(2 m)
=9x10-N The net force acting on the charge at point A is, F=FAB-Fc Substitute 9x10-N for and 9x10-N for F = FAB-Fc
=9x10-N-9x10-N
=ON

Part A

The magnitude of the net electric force acting on the charge at point A is.


According to Coulomb’s law. And, Combining the above two relations. To remove the proportionality sign, a constant of proportionality is introduced in the above equation. Here, is called Coulomb’s constant and it has the value

Step 2 of 2

(B) The net electric force acting at the charge A is

Therefore, the force acting at the charge A is zero.

Part B

The direction of the electric force on the charge A is zero as the force is zero.


There will be no direction of the net force acting on the charge A as net force acting on charge A is zero.

Answer

Part A

The magnitude of the net electric force acting on the charge at point A is.

Part B

The direction of the electric force on the charge A is zero as the force is zero.

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