PHYSICS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!?
Two hollow metal spheres are concentric with each other. The inner sphere has a radius of 0.137 m and a potential of 88.2 V. The radius of the outer sphere is 0.160 m and its potential is 78.3 V. If the region between the spheres is filled with Teflon, find the electric energy contained in this space.
i posted it under homework help too so if you answered it there then you dont have to here
More Questions From This User See All
Answers & Comments
Verified answer
The two spheres from a spherical capacitor.
The energy stored in capacitor is, is given by:
E = (1/2)∙C∙V²
V is the potential difference between the spheres. For this problem
V = 88.2V - 78.3V = 9.9V
C is the capacitance. For a spherical capacitor with inner radius a and outer radius b.
C = 4∙π∙εr∙ε₀ / (1/a - 1/b)
Teflon has relative permittivity of εr = 2
so
C = 4∙π ∙ 2 ∙ 8.854×10⁻¹²F/m / (1.137m - 0.16m)
= 2.12×10⁻¹⁰F
Hence:
E = (1/2) ∙ 2.12×10⁻¹⁰F ∙ (9.9V)²
= 2.12×10⁻⁸J