Two point charges are fixed on the x axis. Each has a positive charge q. One is

Question

Two point charges are fixed on the x axis. Each has a positive charge q. One is at x = -a and the other is at x = +a. At the origin, which of the following is true? (1) E^rightarrow = 0 and V = 0 (2) E^rightarrow 0 and V = 2kq/a (3) E^rightarrow = (2kq/a^2)T and V = 0 (4) E^rightarrow = (2/kg/a^2); and V = 2kq/a (5) none of the above (b) One point charge has a positive charge +q and the other has a negative charge -q. The positive point charge is at x = -a and the negative point charge is at x = +a. At the origin, which of the following is true?...

Explanation / Answer

1) a) Option 2) is correct.

E = 0 and V = 2kq/a (For E direction is opposite and for V depends on charge type so added here)

b) Option 3) is correct.

E = (2kq/a^2) i^ and V = 0 (reason is same as for a)

2) a) distance = r = 4.95 m

Potential = 4kq/r = (4*9*10^9*11*10^-6)/4.95 = 80 kV

b)    Potential = 2kq/r = (2*9*10^9*11*10^-6)/4.95 = 40 kV

c)   Potential = 0

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