Two hollow metal spheres are concentric with each other. Theinner sphere has a radius of 0.131 m and a potential of 89.6 V. Theradius of the outer sphere is 0.155 m and its potential is 78.3 V.If the region between the spheres is filled with Teflon, find theelectric energy contained in this space.

Emily-Jane Bray

Emily-Jane Bray

Answered question

2021-02-18

Two hollow metal spheres are concentric with each other. Theinner sphere has a radius of 0.131 m and a potential of 89.6 V. Theradius of the outer sphere is 0.155 m and its potential is 78.3 V.If the region between the spheres is filled with Teflon, find theelectric energy contained in this space.

Answer & Explanation

Willie

Willie

Skilled2021-02-20Added 95 answers

Electric Energy stored in the sphere E=(12)CV2
where C=4πϵ0r
for this problem for the first sphere E1=12C1V12
C1=4πϵ0r1
E1=124πϵ0(0.131m)(89.6V)2
=(0.5)(43.148.851012)(0.131m)(89.6V)2
for this problem forthe second sphere E2=12C2V22
C2=4πϵ0r2
E2=12(4πϵ0)(0.155m)(89.6V)2
=(0.5)(43.148.851012)(0.155m)(78.3V)2
the electric energy contained in this space E=E1-E2

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