Question 1

A disk of area $$A is $$placed in a uniform electric field of magnitude $$E. $$The normal vector to the disk's surface makes an angle $$	heta$$ with the electric field. What is the electric flux $$\Phi_E$$ through the disk?

Accepted Answer

$$\Phi_E = EA \cos 	heta$$

Question 2

Two Gaussian surfaces, A and B, enclose the same positive point charge. The area of surface A is twice that of surface B. How does the total electric flux through the two surfaces compare?

Accepted Answer

The total electric flux through the two surfaces is equal.

Question 3

A particle of charge $$+q is $$placed at one corner of a cube. What is the electric flux through each of the three cube faces that meet at that corner?

Accepted Answer

$$\dfrac{q}{8\$$varepsilon_0$$}$$

Question 4

A particle of charge $$+q is $$placed at one corner of a cube. What is the electric flux through each of the other (non-corner) cube faces?

Accepted Answer

$$\dfrac{q}{24\$$varepsilon_0$$}$$

Question 5

Suppose a disk of area $$A is $$placed in a uniform electric field $$E$$ such that the normal to the disk is perpendicular to the field. What is the electric flux through the disk?

Accepted Answer

$$0$$

Question 6

A uniform electric field $$E$$ points in the $$+x$$ direction. A flat surface of area $$A is $$oriented so that its normal vector points in the $$+y$$ direction. What is the electric flux through the surface?

Accepted Answer

$$0$$

Question 7

A point charge $$q is $$placed at the center of a spherical Gaussian surface of radius $$r. $$What is the electric flux through the surface?

Accepted Answer

$$\dfrac{q}{\$$varepsilon_0$$}$$

Question 8

A disk of area $$A is $$placed in a uniform electric field $$E. If $$the disk is rotated so that the angle between the normal and the field increases from $$0 to$$ $$90^\circ$$, how does the electric flux through the disk change?

Accepted Answer

It decreases from $$EA to$$ $$0$$

Question 9

A cube of side $$a is $$placed in a uniform electric field $$E$$ parallel to one of its faces. What is the net electric flux through the cube?

Accepted Answer

$$0$$

Question 10

A point charge $$q is $$placed outside a closed surface. What is the net electric flux through the surface?

Accepted Answer

$$0$$

Question 11

A disk of area $$A is $$placed in a uniform electric field $$E. $$The normal to the disk makes an angle $$60^\circ$$ with the field. What is the electric flux through the disk?

Accepted Answer

$$EA \cos 60^\circ$$

Question 12

A point charge $$q is $$placed at the center of a cube. What is the electric flux through one face of the cube?

Accepted Answer

$$\dfrac{q}{6\$$varepsilon_0$$}$$

Question 13

A point charge $$q is $$placed at the center of a cube. What is the total electric flux through the entire cube?

Accepted Answer

$$\dfrac{q}{\$$varepsilon_0$$}$$

Question 14

A disk of area $$A is $$placed in a uniform electric field $$E. If $$the disk is oriented so that the normal vector is antiparallel to the field, what is the electric flux through the disk?

Accepted Answer

$$-EA$$

Question 15

A point charge $$q is $$placed at the center of a spherical shell of radius $$r. If $$the shell is a conductor, what is the electric flux through the shell?

Accepted Answer

$$\dfrac{q}{\$$varepsilon_0$$}$$

Question 16

A point charge $$q is $$placed at the center of a cube. If the cube is replaced by a closed surface of arbitrary shape enclosing the charge, what happens to the total electric flux through the surface?

Accepted Answer

It remains $$\dfrac{q}{\$$varepsilon_0$$}$$

Electric Flux and Gauss's Law: Study Notes

스터디 가이드 - 연습 문제

학습 가이드 - 플래시카드