I\'ve worked this problem but seem to keep getting the wrong answer, i want to s

Question

I've worked this problem but seem to keep getting the wrong answer, i want to see if im making mistakes in my process. the problem is as follows:

#6. Two hollow metal spheres are concentric with each other. The inner sphere has a radius of 0.0500 m and a potential of 85.0 V. The radius of the outer sphere is 0.0600 m and its potential is 83.0 V. If the region between the spheres is filled with Teflon, find the electric energy contained in this space.

__________J

so i used Energy = 1/2 (kappa)0 E^2 (volume)

when kappa = 2.1 for teflon. I got 1.7*10**-10, but the answer appears to be wrong. Can you pls help!! Thank you.

Explanation / Answer

Given that
   potential V1 = 85.0 V
   inner radius ri = 0.050 V    radius ro of outer sphere = 0.06m
   potential V2 = 83.0 V
   dielectric constant of teflon = 2.1
   potential difference V = (85 - 83) V
                                      = 2.0 V
   change in distance s = 0.06 m - 0.05 m
                                    =0.01 m
   The electric energy contained in this space    U = (1/2) oE2 (volume)
   where E is electric field given by
   E = V / s       = (2.0 V)/(0.01m)       = 200 V/m
   o = 8.85 x 10-12C2 / N.m2
   Volume = 4 (0.05 m)2 (0.01m)
                = 3.14159x10^-4 m^3    U = (1/2)(2.1)( 8.85 x 10-12C2 / N.m2)(200 V/m)(3.14159x10^-4 m^3)        = 5.8386x10^-13 J

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.