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A -3.0 nC charge is on the x-axis at x = -9 cm and a +4.0 nC

charge is on the x-axis at x = 16 cm. At what point or points on

the y-axis is the electric potential zero?

Short Answer

Expert verified

The points on y-axis where the potential of electric is zero are ±12cm

Step by step solution

01

Total Potential 

The electric potential of charge q is V=14Ï€e0qr

Therefore, the total potential for multiple point charges isrole="math" localid="1648129896992" V=∑14πe0qiri

02

Calculation of electric Potential on y-axis

The total electric potential from distance y to x-axis is

V=14π∈0q1r1+q2r2

Therefore, the equation for y is

localid="1648299178540" 39cm2+y2=416cm2+y2916cm2+y2=169cm2+y27y2=1008cm2y2=144cm=±12cm

Thus, The points on the y-axis where the potential of electricity is zero are ±12cm

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