2. (A point charge sandwiched in between two line charges.) Shown in the figure are two infinite line charges and a point charge 90. The upper line charge has line charge density and the lower line charge has line charge density λ. Assume the charge densities and are both positive. a) Using Gauss' law determine the electric field due to lower line charge at the site of the point charge 90. Give both magnitude and direction. b) Using Gauss' law determine the electric field due to upper line charge at the site of the point charge 90. Give both magnitude and direction. c) What is the force on 90 due to the lower line charge? Give both magnitude and direction. d) What is the force on qo due to the upper line charge? Give both magnitude and direction. Your results in a) - d) must be correct to get any credit for the rest of the problem. e) Using your results determine a relationship between λ and λ so that the net force on 90 due to the two line charges is zero. 2 d Lo 90 F Lo d ã
2. (A point charge sandwiched in between two line charges.) Shown in the figure are two infinite line charges and a point charge 90. The upper line charge has line charge density and the lower line charge has line charge density λ. Assume the charge densities and are both positive. a) Using Gauss' law determine the electric field due to lower line charge at the site of the point charge 90. Give both magnitude and direction. b) Using Gauss' law determine the electric field due to upper line charge at the site of the point charge 90. Give both magnitude and direction. c) What is the force on 90 due to the lower line charge? Give both magnitude and direction. d) What is the force on qo due to the upper line charge? Give both magnitude and direction. Your results in a) - d) must be correct to get any credit for the rest of the problem. e) Using your results determine a relationship between λ and λ so that the net force on 90 due to the two line charges is zero. 2 d Lo 90 F Lo d ã
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HW4P2
Transcribed Image Text:2. (A point charge sandwiched in between two line charges.)
Shown in the figure are two infinite line charges and a point charge 90. The upper line charge has line
charge density and the lower line charge has line charge density λ. Assume the charge densities
2
and are both positive.
a) Using Gauss' law determine the electric field due to lower line charge at the site of the point charge
90. Give both magnitude and direction.
b) Using Gauss' law determine the electric field due to upper line charge at the site of the point charge
90. Give both magnitude and direction.
c) What is the force on qo due to the lower line charge? Give both magnitude and direction.
d) What is the force on qo due to the upper line charge? Give both magnitude and direction.
Your results in a) - d) must be correct to get any credit for the rest of the problem.
e) Using your results determine a relationship between λ and λ so that the net force on 90 due to the
2
two line charges is zero.
2
d
Lo
90
F
Lo
d
λ
Figure I. Force balance for the charge 40. The two line charges and the point charge are
all stationary.
Transcribed Image Text:f) What is the force on the upper line charge due to the point charge?
g) What is the force on the lower line charge due to the point charge?
h) What is the force on a length Lo of the upper line charge due to the lower line charge?
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