Gauss' Law with Calculus Video Lessons

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Problem: A hollow non-conducting spherical shell has inner radius R1 = 8cm and outer radius R2 = 15 cm. A charge Q = 45 nC lies at the center of the shell. The shell carries a spherically symmetric charge density ρ = Ar for R1 < r <R2 that increases linearly with radius, where A= 29 μC/m4 What is the radial electric field at the point r =0.5(R1+R2)? Give your answer in the units of kN/C

FREE Expert Solution

Electric filed:

E = kQ/r2 

R1 = 8cm(1m/100cm) = 0.08m

r = 0.5(R1 + R2) = 0.5(8 + 15) = 11.5 cm (1m/100cm) = 0.115 m

Qpoint charge = - 45 nC(10-9C/1nC) = - 45 × 10-9 C

Qenclosed=Qpoint charge + Qsphere

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Problem Details

A hollow non-conducting spherical shell has inner radius R= 8cm and outer radius R2 = 15 cm. A charge Q = 45 nC lies at the center of the shell. The shell carries a spherically symmetric charge density ρ = Ar for R1 < r <R2 that increases linearly with radius, where A= 29 μC/m4 

What is the radial electric field at the point r =0.5(R1+R2)? Give your answer in the units of kN/C

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