Question

Two positive point charges are held fixed on the x-axis. Point charge A is located at the origin, and point charge B is located at the position x = −5.00 cm = −5.00✕10^-2 m (on the negative x-axis). The magnitude of charge A is two times greater than that of charge B: q_A = 2q_B.
k_e = 8.9876✕10⁹ Nm²/C²

(A.) The electric force on charge A has magnitude 0.344 mN = 0.344⨯10^-3 N. What is the electric force (magnitude and direction) on charge B?

magnitude _______ , in the ___________ direction

(B.) Consider the location (x=0, y= −12.0✕10^-2 m), on the negative y-axis. What are the x and y components of the electric field (magnitude and direction) due to just charge A at this location? Let q_A = 13.8 nC = 13.8✕10^-9 C.

_x,A =  (x) magnitude _________N/C, in the ________ direction
_y,A =  (y) magnitude __________N/C, in the _________ direction

(C.) Consider the same location: (x=0, y= − 12.00 cm), on the negative y-axis.
What are the x and y components of the electric field (magnitude and direction) due to just charge B at this location? Let q_B = 6.90 nC = 6.90✕10^-9 C.

_x,B =  (x) magnitude______N/C, in the  _______ direction
_y,B =  (y) magnitude_________ N/C, in the______direction

(D.) Consider the same location: (x=0, y= − 12.00 cm), on the negative y-axis.
What is the electric potential due to both charges A and B at this location? (Assume a reference point of zero potential at infinity: V_∞=0.)

V =  _______

Answer 1

I have solved the same problem earlier today. The solution is given below .

Thank you.