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Two 2.0-cm-diameter insulating spheres have a 5.60 cm space between them. One sphere is charged to...

Two 2.0-cm-diameter insulating spheres have a 5.60 cm space between them. One sphere is charged to + 40.0 nC , the other to - 60.0 nC .

Part A

What is the electric field strength at the midpoint between the two spheres?

Expert Solution

Given:

diameter of spheres d = 2.0cm

radius of the spheres r = d/2

= 1cm

= 1*10^-2 m

charge on sphere 1 q1 = 40*10^-9 C

charge on sphere 2 q2 = -60 *10^-9 C

distance between the spheres d = 5.60*10^-2 m
midpoint p =2.80*10^-2 m

Electric field strength due to sphere1 at point p

total distance to point p = (2.80*10^-2)+ 1*10^-2

=3.8*10^-2 m

Electric field E₁ = kq₁/r^2.......(1)

= (9*10^9)(40*10^-9)/(3.8*10^-2)^2

= 24.9*10⁴N/C

Electric field strength due to sphere 2 at point p

total distance to point p = (2.8*10^-2)+ 1*10^-2

= 3.8*10^-2 m

Electric field E₂ = kq₂/r^2.......(1)

= (9*10^9)(60*10^-9)/(3.8*10^-2)^2

= 37.4*10⁴ N/C

total electric field strength at point p E = E₁+E₂

= 62.3*10⁴N/C

˜62.3*10⁴N/C

genius_generous answered 1 year ago

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