Question #294531

An insulating sphere of radius 8.0 cm carries a uniform volume charge density

of 500 nC/m^3. What is the electric field in N/C at r = 3.0 cm?


1
Expert's answer
2022-02-07T15:21:04-0500

ρ=qV\rho=\frac{q}{V}

ρ=3×q4πr2\rho=\frac{3\times q}{4\pi r^2}

q=ρ×4πr23q=\frac{\rho \times4\pi r^2}{3}


q=500×109×4×3.14×0.0823=1.33×108Cq=\frac{500\times10^{-9}\times4\times3.14\times0.08^2}{3}=1.33\times10^{-8}C

E=kqR3r=9×109×1.33×1080.083×0.03=7.013×103N/CE=\frac{kq}{R^3}r=\frac{9\times10^{9}\times1.33\times10^{-8}}{0.08^3}\times0.03=7.013\times10^3N/C


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