
Concept explainers
The net force exerted on each charge by other charges.

Answer to Problem 51QAP
Net force on charge A is 36.3 N at angle
Explanation of Solution
Given:
Charge A, charge B and charge C are placed in a coordinate system as shown below.
Formula used:
From Coulomb's law
Calculation:
For charge A,
x component of net force on charge A :
Because charges A and B have the same sign, the force on charge A is repulsive and acts in the
negative x direction.
Thus, the net force on charge A in the x -direction is - 33.0 N.
The y component of net force on charge A :
Because charges A and C have the same sign, the force on charge A is repulsive and acts in the
negative y -direction.
Thus, the net force on charge A in the y -direction is -15.0 N
The magnitude of the net force on charge A :
The direction of the net force on charge A :
For charge B,
x component of net force on charge B :
y component of net force on charge B :
Because charges C and B have the same sign, the force on charge B is repulsive and acts in the negative y-direction. Thus, the net force on charge B in the y -direction is -8.26 N
The magnitude of the net force on charge B :
The direction of the net force on charge B :
For charge C,
x component of net force on charge C :
Because charges C and B have the same sign, the force on charge C is repulsive and acts in the
negative x direction. Thus, the net force on charge C in the x-direction is -9.64 N
y component of net force on charge C :
The magnitude of the net force on charge C :
The direction of the net force on charge C :
Conclusion:
Net force on charge A is 36.3 N at angle
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