Two infinite planes of charge lie parallel to each other and to the yz plane. One...
Two infinite planes of charge lie parallel to each other and to the yz plane. One is at x = -2 m and has a surface charge density of σ = -3.2 µC/m2. The other is at x = 4 m and has a surface charge density of σ = 5.2 µC/m2. Find the electric field for the following locations.
(a) x < -2 m
N/C î
(b) -2 m < x < 4 m
N/C î
(c) x > 4 m
N/C î
Homework Answers
For an infinite plane sheet having surface
chargevdensity electric field above or below it is given by
E=(surface charge density)/2e0
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Two infinite planes of charge lie parallel to each other and to
the yz plane. One...
Two infinite planes of charge lie parallel to each other and to the yz plane. One...
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There are two infinite parallel planes oriented vertically. The plane on the left has a charge...
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Two uniformly charged, infinite, nonconducting planes are parallel to a yz plane and positioned at x--43 cm and x- +43 cm. The charge densities on the planes are -46 nC/m2 and +16 nC/m2, respectively. What is the magnitude of the potential difference between the origin and the point on the x axis at x = +77 cm? (Hint: Use Gauss' law for planar symmetry to determine the electric field in each region of space.) Number TT3.01e3 Units the tolerance is...
Consider three infinitely large planes with surface charge densities σ1 = 3.76 µC/m2, σ2 = −1.88...
Consider three infinitely large planes with surface charge
densities σ1 = 3.76 µC/m2, σ2 = −1.88 µC/m2, and σ3 = 3.76 µC/m2.
The planes are arranged close together but without contact and
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Consider three infinitely large planes with surface charge densities o 3.76 uc/m2, 02 1.88 HC/m2, and o 3 3.76 HC/m2. The planes are arranged close together but without contact and parallel to...
Problem2 Two infinite parallel planes are separated 0.22 cm. The planes have equal and opposite charge...
Problem2 Two infinite parallel planes are separated 0.22 cm. The planes have equal and opposite charge densities. The charge density of the positive plane is 9.4 μcm. Calculate (a) the magnitude of the electric field between the planes. 1.1 MV/ (b) the potential difference from the positive plane to the negative plane. -2.3 kV (c) the potential along the equipotential surface 0.10 cm from the positive plate Let the potential along the positive plane equal 3.0kV 1.9kV
3. You have two infinite plane charge distributions (or infinite charged plates). The left one has...
3. You have two infinite plane charge distributions (or infinite charged plates). The left one has a charge density of +5 °C/m2 and the right one has a charge density of -5 uC/m2. The distance between the planes is 0.1 m. Point A is 0.025 m from the left plane, point B is 0.05 m from the left plane, and point C is 0.075 m from the left plane. + + + + + + + A C + +...
Problem 2 Two infinite parallel planes are separated 022 cm. The planes have equal and opposite...
Problem 2 Two infinite parallel planes are separated 022 cm. The planes have equal and opposite charge densities. The charge density of the positive plane is 9.4 C/m Calculate (a) the magnitude of the electric field between the planes. 1.1 MV/m (b) the potential difference from the positive plane to the negative plane. -2.3 kV (c) the potential along the equipotential surface 0.10 cm from the positive plate Let the potential along the positive plane equal 3.0 kV. 19 kV
Consider two infinite parallel thin sheets o charge, one in the x 0 plane and the...
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Two infinite nonconducting sheets of charge are parallel to each other, with sheet A in the x- 2.85 plane and sheet B in thex = +2.85 m plane. Find the electric field in the region x <-2.85 m, in the region x > +2.85 m, and between the sheets for the following situations. (a) when each sheet has a uniform surface charge density equal to +3.25 HC/m2 region (m) electric field (N/C) x -2.85 x +2.85 -2.85 <X< +2.85 (b)...
Two infinite nonconducing sheets of charge are parallel to each other, with sheet A in the x-1.70 plane and sheet B in the x-+1.70 m plane. Find the electric field in the region x1.70 m, in the region x the sheets for the tolowing situa tions. +1.70 m, and between (a) when cach shoct has a uniřorm surface charge density cqual to 3.80 uC/m2 region (m) electric field (N'C) x<-1.70 x1.70 1.70 < x <+1.70 b) when sheet A has...
Two uniformly charged, infinite, nonconducting planes are parallel to a yz plane and positioned at x--43 cm and x- +43 cm. The charge densities on the planes are -46 nC/m2 and +16 nC/m2, respectively. What is the magnitude of the potential difference between the origin and the point on the x axis at x = +77 cm? (Hint: Use Gauss' law for planar symmetry to determine the electric field in each region of space.) Number TT3.01e3 Units the tolerance is...
Consider three infinitely large planes with surface charge
densities σ1 = 3.76 µC/m2, σ2 = −1.88 µC/m2, and σ3 = 3.76 µC/m2.
The planes are arranged close together but without contact and
parallel to each other as shown in the diagram below. Express your
answer in vector form.
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Problem2 Two infinite parallel planes are separated 0.22 cm. The planes have equal and opposite charge densities. The charge density of the positive plane is 9.4 μcm. Calculate (a) the magnitude of the electric field between the planes. 1.1 MV/ (b) the potential difference from the positive plane to the negative plane. -2.3 kV (c) the potential along the equipotential surface 0.10 cm from the positive plate Let the potential along the positive plane equal 3.0kV 1.9kV
3. You have two infinite plane charge distributions (or infinite charged plates). The left one has a charge density of +5 °C/m2 and the right one has a charge density of -5 uC/m2. The distance between the planes is 0.1 m. Point A is 0.025 m from the left plane, point B is 0.05 m from the left plane, and point C is 0.075 m from the left plane. + + + + + + + A C + +...
Problem 2 Two infinite parallel planes are separated 022 cm. The planes have equal and opposite charge densities. The charge density of the positive plane is 9.4 C/m Calculate (a) the magnitude of the electric field between the planes. 1.1 MV/m (b) the potential difference from the positive plane to the negative plane. -2.3 kV (c) the potential along the equipotential surface 0.10 cm from the positive plate Let the potential along the positive plane equal 3.0 kV. 19 kV
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