Consider two charges, q1 located at the origin and q2 located a distance d to th

Question

Consider two charges, q1 located at the origin and q2 located a distance d to the right of the origin as shown below.

a) If q1 = q2 in which region (i,ii, or iii) is the electric field zero?

b) If q1 and q2 are equal in magnitude and opposite in sign in which region (i,ii, or iii) is the electric field zero?

c) Charge q1 = 2C and q2 = -4C; in which region (i,ii, or iii) is the electric field zero?

d) Charge q1 = 2C and q2 = -4C are separated by 10cm. What is the magnitude and direction of the electric field at x=5cm?

Explanation / Answer

a) region ii

because, at mid point they exert equal and opposite elctric fields.

b) No region

c) region i

d)

at x = 5 cm

Enet = E1 + E2

= k*q1/d1^2 + k*q2/d2^2

= 9*10^9*2*10^-6/0.05^2 + 9*10^9*4*10^-6/0.05^2

= 2.16*10^7 N/c

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