The electric field components in the shown figure are ${\mathrm{E}}_{\mathrm{x}}=\alpha {x}^{1/2}$Ey = Ez = 0, in which  . The net flux through the cube is: (Assume that a = 0.1 m)

Subtopic:  Gauss's Law |
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The electric field components in the shown figure are ${\mathrm{E}}_{\mathrm{x}}={\mathrm{ax}}^{1/2}$Ey = Ez = 0, in which  . Find the charge within the cube if net flux through the cube is : (Assume that a = 0.1 m).

Subtopic:  Gauss's Law |
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An electric field is uniform, and in the positive $$x$$-direction for positive $$x$$, and uniform with the same magnitude but in the negative $$x$$-direction for negative $$x$$. It is given that $$\vec{E}=200\hat{i}$$ N/C for $$x>0$$ and $$\vec{E}=-200\hat{i}$$  N/C for $$x<0$$. A right circular cylinder of length $$20~\text{cm}$$ and radius $$5~\text{cm}$$ has its centre at the origin and its axis along the $$x\text{-}$$axis so that one face is at $$x= + 10~\text{cm}$$ and the other is at $$x= -10~\text{cm}$$ (as shown in the figure). What is the net outward flux through the cylinder?

1. $$0$$
2. $$1.57~\text{Nm}^2\text{C}^{-1}$$
3. $$3.14~\text{Nm}^2\text{C}^{-1}$$
4. $$2.47~\text{Nm}^2\text{C}^{-1}$$

Subtopic:  Gauss's Law |
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An electric field is uniform, and in the positive x-direction for positive x, and uniform with the same magnitude but in the negative x-direction for negative x. It is given that E = N/C for x > 0 and E = – N/C for x < 0. A right circular cylinder of length 20 cm and radius 5 cm has its centre at the origin and its axis along the x-axis so that one face is at x = +10 cm and the other is along the x-axis so that one face is at x = +10 cm and the other is at x = –10 cm (as shown in the figure). What is the net charge inside the cylinder?

Subtopic:  Gauss's Law |
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An early model for an atom considered it to have a positively charged point nucleus of charge Ze, surrounded by a uniform density of negative charge up to a radius R. The atom as a whole is neutral. For this model, the electric field at a distance r(r<R) from the nucleus is:

Subtopic:  Gauss's Law |
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An early model for an atom considered it to have a positively charged point nucleus of charge Ze, surrounded by a uniform density of negative charge up to a radius R. The atom as a whole is neutral. For this model, the electric field at a distance r (r>R) from the nucleus is:

Subtopic:  Gauss's Law |
55%
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