Question

In: Physics

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?

Solutions

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


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