Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N - m² /C². Vacuum permitivity, eg = 8.854 x 10 12 F/m. Magnitude of the Charge of one electron, e = -1.60217662 x 10 19 C. Mass of one electron, m. = 9.10938356 x 10-31 kg. Unless specified otherwise, each symbol caries their usual meaning. For example, µC means micro coulomb . Suppose you have q = 5 µC charge placed at the orign of your coordinate system. a) Using Gauss's law, find the electric field at distance ri = 7m from the charge. Magnitude of the electric field Give your answer up to at least three significance digits. N/C

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e) Calculate the potential at the following distances from the point charge q and explain your result. Assume that at infinity the potential is zero, i.e. V(∞)=0.

Potential at r=d

Give your answer up to at least three significance digits.

Potential at r=c

Give your answer up to at least three significance digits.

Potential at r=c+d2

Give your answer up to at least three significance digits.

f) Plot electric field as a function of distance from origin for this system.

g) (bonus) Plot electric potential as a function of distance from origin for this system.

Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N - m² /C². Vacuum permitivity, eo = 8.854 x 10-1² F/m. Magnitude
of the Charge of one electron, e = -1.60217662 x 10 19 C. Mass of one electron, me = 9.10938356 x 10 31 kg. Unless specified otherwise, each
symbol caries their usual meaning. For example, µC means micro coulomb.
Suppose you have q = 5 µC charge placed at the orign of your coordinate system.
a) Using Gauss's law, find the electric field at distance ri = 7 m from the charge.
Magnitude of the electric field
Give your answer up to at least three significance digits.
N/C
b) Now you place a hollow conducting sphere of inner radius a = 3.5 m and outer radius b = 14.0 m. Calculate the net enclosed charge by the
Gaussian surface of radius r.
net enclosed charge by the Gaussian surface of radiusr1
Give your answer up to at least three significance digits.
Transcribed Image Text:Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N - m² /C². Vacuum permitivity, eo = 8.854 x 10-1² F/m. Magnitude of the Charge of one electron, e = -1.60217662 x 10 19 C. Mass of one electron, me = 9.10938356 x 10 31 kg. Unless specified otherwise, each symbol caries their usual meaning. For example, µC means micro coulomb. Suppose you have q = 5 µC charge placed at the orign of your coordinate system. a) Using Gauss's law, find the electric field at distance ri = 7 m from the charge. Magnitude of the electric field Give your answer up to at least three significance digits. N/C b) Now you place a hollow conducting sphere of inner radius a = 3.5 m and outer radius b = 14.0 m. Calculate the net enclosed charge by the Gaussian surface of radius r. net enclosed charge by the Gaussian surface of radiusr1 Give your answer up to at least three significance digits.
c) Now consider another hollow conducting sphere of inner radius c = 21 m and outer radius d = 35 m. Calculate the net enclosed charge by the
Gaussian surface of radius r2 = 17.5 m and electric field at ry.
net enclosed charge by the Gaussian surface of radius r2
Give your answer up to at least three significance digits.
Electric field at r2
Give your answer to at least two significance digits.
N/C
d) Calculate the net flux through the Gaussian sphere of radius r2.
net flux through the Gaussian sphere of radius r,
Give your answer up to at least three significance digits.
N. m²/C
Transcribed Image Text:c) Now consider another hollow conducting sphere of inner radius c = 21 m and outer radius d = 35 m. Calculate the net enclosed charge by the Gaussian surface of radius r2 = 17.5 m and electric field at ry. net enclosed charge by the Gaussian surface of radius r2 Give your answer up to at least three significance digits. Electric field at r2 Give your answer to at least two significance digits. N/C d) Calculate the net flux through the Gaussian sphere of radius r2. net flux through the Gaussian sphere of radius r, Give your answer up to at least three significance digits. N. m²/C
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