Solve only IV & V Use the following constants if necessary. Coulomb constant, k = 8.987×10^9 N⋅m^2/C^2 . Vacuum permitivity, ϵ0= 8.854×10^−12 F/m. Magnetic Permeability of vacuum, μ0 = 12.566370614356×10^−7 H/m. Magnitude of the Charge of one electron, e = −1.60217662×10^−19 C. Mass of one electron, m_e = 9.10938356×10^−31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, μC means microcoulomb  .

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Chapter1: Units, Trigonometry. And Vectors
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Solve only IV & V Use the following constants if necessary. Coulomb constant, k = 8.987×10^9 N⋅m^2/C^2 . Vacuum permitivity, ϵ0= 8.854×10^−12 F/m. Magnetic Permeability of vacuum, μ0 = 12.566370614356×10^−7 H/m. Magnitude of the Charge of one electron, e = −1.60217662×10^−19 C. Mass of one electron, m_e = 9.10938356×10^−31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, μC means microcoulomb  .
Suppose you have q = 18µC charge placed at the orign of your coordinate
system.
I) Using Gauss's law, find the magnitude of the electric field at distance r1 = 8m
from the charge. (Answer in N/c)
II) Now you place a hollow conducting sphere of inner radius a = 4.0m and outer
radius b = 16.0m. Calculate the net enclosed charge by the Gaussian surface of
radius r1. (Answer in C)
II) Now consider another hollow conducting sphere of inner radius c=24m and
outer radius d=40m . Calculate the net enclosed charge(C) by the Gaussian
surface of radius r2 = 20.0m and electric field(N/C) at r2.
Transcribed Image Text:Suppose you have q = 18µC charge placed at the orign of your coordinate system. I) Using Gauss's law, find the magnitude of the electric field at distance r1 = 8m from the charge. (Answer in N/c) II) Now you place a hollow conducting sphere of inner radius a = 4.0m and outer radius b = 16.0m. Calculate the net enclosed charge by the Gaussian surface of radius r1. (Answer in C) II) Now consider another hollow conducting sphere of inner radius c=24m and outer radius d=40m . Calculate the net enclosed charge(C) by the Gaussian surface of radius r2 = 20.0m and electric field(N/C) at r2.
Iv) Calculate the net flux through the Gaussian sphere of radius r2.
(Answer in N.m^2/ C)
V) Calculate the potential at the following distances r =
= d, r = c &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)=0. (Answer in volts)
Transcribed Image Text:Iv) Calculate the net flux through the Gaussian sphere of radius r2. (Answer in N.m^2/ C) V) Calculate the potential at the following distances r = = d, r = c &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)=0. (Answer in volts)
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