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In: Chemistry

Two 2.0-cm-diameter insulating spheres have a 7.00 cm space between them. One sphere is charged to...

Two 2.0-cm-diameter insulating spheres have a 7.00 cm space between them. One sphere is charged to + 70.0 nC , the other to - 79.0 nC . Part A What is the electric field strength at the midpoint between the two spheres? Express your answer with the appropriate units.

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 = 70*10^-9 C

charge on sphere 2 q2 = -79 *10^-9 C

distance between the spheres d = 7.00*10^-2 m
midpoint p =3.50*10^-2 m

Electric field strength due to sphere1 at point p

total distance to point p = (3.50*10^-2)+ 1*10^-2

=4.5*10^-2 m

Electric field E₁ = kq₁/r^2.......(1)

= (9*10^9)(70*10^-9)/(4.5*10^-2)^2

= 31.1*10⁴N/C

Electric field strength due to sphere 2 at point p

total distance to point p = (3.5*10^-2)+ 1*10^-2

= 4.5*10^-2 m

Electric field E₂ = kq₂/r^2.......(1)

= (9*10^9)(79*10^-9)/(4.5*10^-2)^2

= 35.1*10⁴ N/C

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

= 66.2*10⁴N/C

˜66.2*10⁴N/C

queen_honey_blossom answered 1 year ago

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