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Need help in part (d) and (e): Use the following constants if necessary. Coulomb constant, k=8.987×109N⋅m2/C2. Vacuum permitivity, ϵ0=8.854×10−12F/m. Magnitude of the Charge of one electron, e=−1.60217662×10−19C. Mass of one electron, me=9.10938356×10−31kg. Unless specified otherwise, each symbol carries their usual meaning. For example, μC means microcoulomb . Suppose you have q=11μC charge placed at the orign of your coordinate system. a) Using Gauss's law, find the electric field at distance r1=9m from the charge. b) Now you place a hollow conducting sphere of inner radius a=4.5m and outer radius b=18.0m. Calculate the net enclosed charge by the Gaussian surface of radius r1. c) Now consider another hollow conducting sphere of inner radius c=27m and outer radius d=45m. Calculate the net enclosed charge by the Gaussian surface of radius r2=22.5m and electric field at r2. d) Calculate the net flux through the Gaussian sphere of radius r2. e) Calculate the potential at r = d, r = c and r = c+d/ 2 from the point charge q and explain your result. Assume that at infinity the potential is zero, i.e. V(∞)=0.

Need help in part (d) and (e): Use the following constants if necessary. Coulomb constant, k=8.987×109N⋅m2/C2. Vacuum permitivity, ϵ0=8.854×10−12F/m. Magnitude of the Charge of one electron, e=−1.60217662×10−19C. Mass of one electron, me=9.10938356×10−31kg. Unless specified otherwise, each symbol carries their usual meaning. For example, μC means microcoulomb . Suppose you have q=11μC charge placed at the orign of your coordinate system. a) Using Gauss's law, find the electric field at distance r1=9m from the charge. b) Now you place a hollow conducting sphere of inner radius a=4.5m and outer radius b=18.0m. Calculate the net enclosed charge by the Gaussian surface of radius r1. c) Now consider another hollow conducting sphere of inner radius c=27m and outer radius d=45m. Calculate the net enclosed charge by the Gaussian surface of radius r2=22.5m and electric field at r2. d) Calculate the net flux through the Gaussian sphere of radius r2. e) Calculate the potential at r = d, r = c and r = c+d/ 2 from the point charge q and explain your result. Assume that at infinity the potential is zero, i.e. V(∞)=0.

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Need help in part (d) and (e):

Use the following constants if necessary. Coulomb constant, k=8.987×109N⋅m2/C2. Vacuum permitivity, ϵ0=8.854×10−12F/m. Magnitude of the Charge of one electron, e=−1.60217662×10−19C. Mass of one electron, me=9.10938356×10−31kg. Unless specified otherwise, each symbol carries their usual meaning. For example, μC means microcoulomb .

Suppose you have q=11μC charge placed at the orign of your coordinate system.

a) Using Gauss's law, find the electric field at distance r1=9m from the charge.

b) Now you place a hollow conducting sphere of inner radius a=4.5m and outer radius b=18.0m. Calculate the net enclosed charge by the Gaussian surface of radius r1.

c) Now consider another hollow conducting sphere of inner radius c=27m and outer radius d=45m. Calculate the net enclosed charge by the Gaussian surface of radius r2=22.5m and electric field at r2.

d) Calculate the net flux through the Gaussian sphere of radius r2.

e) Calculate the potential at r = d, r = c and r = c+d/ 2 from the point charge q and explain your result. Assume that at infinity the potential is zero, i.e. V(∞)=0.

b,
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