Q: A closed surface encloses five point charges: $$q_1 = +3$$\ \mathrm{nC}$$, q_2$ = -2\ \mathrm{nC}$$, $$q_3 = +2$$\ \mathrm{nC}$$, q_4$ = +4\ \mathrm{nC}$$, $$q_5 = -1$$\ \mathrm{nC}$$. What is the total electric flux through the surface?

$$\frac{6 \times 10$$^{-9}$$\ \mathrm{C}}{\$$varepsilon_0$$}$$

Question 1

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

$$\frac{q}{\$$varepsilon_0$$}$$

Question 2

If the radius of a spherical Gaussian surface is doubled, but the enclosed charge remains the same, how does the electric flux through the surface change?

Accepted Answer

It does not change.

Question 3

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

Accepted Answer

$$0$$

Question 4

A closed surface encloses no net charge. Which of the following statements is true about the net electric flux through the surface?

Accepted Answer

The net electric flux is zero.

Question 5

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

Accepted Answer

$$\frac{q}{6\$$varepsilon_0$$}$$

Question 6

A cylinder of length $$L$$ and radius $$r is $$placed in a uniform electric field $$\vec{E}$$ parallel to its axis. What is the net electric flux through the curved surface of the cylinder?

Accepted Answer

$$0$$

Question 7

Which of the following best describes the electric flux $$\Phi_E$$ through a surface when the electric field $$\vec{E} is $$perpendicular to the surface and has magnitude $$E$$, and the area of the surface is $$A$$?

Accepted Answer

$$\Phi_E = EA$$

Question 8

A Gaussian surface encloses two charges: $$+2\ \mu C$$ and $$-2\ \mu C. $$What is the net electric flux through the surface?

Accepted Answer

$$0$$

Question 9

A flat surface of area $$A is $$placed in a uniform electric field $$\vec{E}$$ such that the angle between $$\vec{E}$$ and the normal to the surface is $$	heta. $$What is the electric flux through the surface?

Accepted Answer

$$EA\cos	heta$$

Question 10

A closed surface encloses a net charge $$q_{enc}. $$According to Gauss's Law, what is the total electric flux through the surface?

Accepted Answer

$$\frac{q_{enc}}{\$$varepsilon_0$$}$$

Question 11

If the electric field at the surface of a conductor is measured to be zero, what can you conclude about the net charge inside the conductor?

Accepted Answer

The net charge inside the conductor is zero.

Question 12

A cube of side $$a is $$placed in a uniform electric field $$\vec{E}$$ directed along the $$z-$$axis. What is the net electric flux through the cube?

Accepted Answer

$$0$$

Question 13

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

Accepted Answer

$$0$$

Question 14

A closed surface encloses five point charges: $$q_1 = +3$$\ \mathrm{nC}$$, q_2$ = -2\ \mathrm{nC}$$, $$q_3 = +2$$\ \mathrm{nC}$$, q_4$ = +4\ \mathrm{nC}$$, $$q_5 = -1$$\ \mathrm{nC}$$. What is the total electric flux through the surface?

Accepted Answer

$$\frac{6 	imes 10$$^{-9}$$\ \mathrm{C}}{\$$varepsilon_0$$}$$

Question 15

A spherical shell of radius $$R$$ surrounds a point charge $$q at $$its center. If the radius of the shell is increased to $$2R$$, what happens to the electric flux through the shell?

Accepted Answer

It remains the same.

Question 16

A flat surface of area $$A is $$placed in a uniform electric field $$\vec{E}$$ such that the field is parallel to the surface. What is the electric flux through the surface?

Accepted Answer

$$0$$

Question 17

A Faraday cage is used to shield sensitive equipment from external electric fields. Which principle explains why the electric field inside a closed conducting shell is zero?

Accepted Answer

Gauss's Law

Question 18

A point charge $$q is $$placed at the center of a cube. If the cube is replaced by a sphere of the same volume, what happens to the electric flux through the surface?

Accepted Answer

It remains the same.

Question 19

A closed surface encloses a net negative charge. What is the sign of the net electric flux through the surface?

Accepted Answer

Negative

Question 20

A non-conducting box contains an unknown amount of charge. A test charge $$q_0 is $$placed outside the box, and the electric field $$\vec{E} is $$measured at various points. What can be determined from these measurements?

Accepted Answer

The net charge inside the box

Week 2 Lec. 1

스터디 가이드 - 연습 문제

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