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Home/ Questions/What is the magnitude of the electric force on charge A in the figure?
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lyytutoria
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lyytutoriaExpert
Asked: April 11, 20222022-04-11T19:19:14+00:00 2022-04-11T19:19:14+00:00In: Physics

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...

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

♦ Relevant knowledge
The force between two points charges is determined by Coulomb’s law. This force is proportional with the charge’s product and in reverse proportion to the square of distance between charges. The direction of force is towards the other charges when they are of the same type, or else, it attracts.

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    lyytutoria Expert
    2022-04-25T08:55:42+00:00Added an answer on April 25, 2022 at 8:55 am
    Concepts and Reason
    A diagram and Coulomb’s law of electrostatics are the concepts that were used to answer the question. First, draw the diagram showing the two point charges. Next, use Coulomb’s law for electrostatics to determine the magnitude of the two points and the direction of the charges.
    Fundamentals
    “Coulomb’s law says that the force between two point charges is proportional to their respective magnitudes and ininverse proportion to the distance between them.
    It is mathematically defined as: 
     
    k refers to the Coulomb constant  q1 and q2 respectively, r represents the distance between the two charges.

    Part A,

    Below is the diagram of the three-point charges. AC
B -1nC
4 nC
1 nC
The charge at point B creates the electric force at point A. 

     

    qA, qB represent the two points charges, and AB represents the distance between the charges.

    Substitute 9 × 109 N. m2 / C2 to k; 1 m to AB; 1 nC to qA; 1 nC to qA ; 1 nC to qB

    The charge at point C creates the electric force at point A. 

     

    qA, qC represent the two points charges, and represents the distance between the charges.

    Substitute 9 × 109 N. m2 / C2 to k; 1 m to AB; 1 nC to qA; 1 nC and 4 nC

      

    The net force that is acting on the charge at point A is

    9x10 N-9x10 N

    The magnitude the net electric force acting upon the charge at point A in 0 N .

    Part B,

    0 N  is the net electric force that acts at charge A. Therefore, the force acting at the charge A is zero.     

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  2. Abigail Roberts
    2022-04-12T00:14:16+00:00Added an answer on April 12, 2022 at 12:14 am
    Concepts and Reason

    A diagram and Coulomb’s law of electrostatics are the concepts that were used to answer the question.

    First, draw the diagram showing the two point charges. Next, use Coulomb’s law for electrostatics to determine the magnitude of the two points and the direction of the charges.

    Fundamentals

    “Coulomb’s law says that the force between two point charges is proportional to their respective magnitudes and ininverse proportion to the distance between them.

    It is mathematically defined as:

    refers to the Coulomb constant [katex]q_1[/katex] and [katex]q_2[/katex] respectively. represents the distance between the two charges.

    (A)

    Below is the diagram of the three-point charges.

    AC
B -1nC
4 nC
1 nC

    The charge at point B creates the electric force at point A.

    represent the two points charges, and AB
represents the distance between the charges.

    Substitute 9x10 N m2 /C2
to; toAB
; to ; to ; 1 nC
to

    The charge at point C creates the electric force at point A.

    represent the two points charges, and [katex]AC[/katex] represents the distance between the charges.

    Substitute 9x10 N m2 /C2
to; toAB
; to ; and respectively for

    The net force that is acting on the charge at point B is

    F FA FAC

    Substitute [katex]9×10^{-9}[/katex] to [katex]F_{AB}[/katex] or [katex]9×10^{-9}N[/katex] to

    9x10 N-9x10 N

    (B)

    is the net electric force that acts at charge A.

    Accordingly, A is the charge for which the force acts. Part A – Ans

    The magnitude the net electric force acting upon the charge at point A in .

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