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Flux and nonconducting shells . A charged particle issuspended at the center of

ID: 1665493 • Letter: F

Question

Flux and nonconducting shells. A charged particle issuspended at the center of two concentric spherical shells that arevery thin and made of nonconducting material. Figure (a) belowshows a cross section. Figure (b) below gives the net flux through a Gaussian sphere centered on the particle,as a function of the radius r of the sphere. The scale ofthe vertical axis is set by s = 28.0× 105 N·m2/C.(a) What is the charge of the central particle?Give your answers in µC. What are the net charges of(b) shell A and (c)shell B?

(a)

Number

Units

(b)

Number

Units

(c)

Number

Units

(a)

Number

Units

C

Explanation / Answer

Let the eletric flux be F F=q/0 so q=F*0 q1=F1*0=9,91e-6(C) q1+q2=F2*0=-1,98e-5 so q2=-2,97e-5(C) q1+q2+q3=F3*0=2,97e-5(C) so q3=4,95e-5(C) so q1=9,91 C q2=-29,7C q3=49,5C