普通物理 CH23

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普通物理CH23練習題

Problem 1

The square surface shown in the figure measures \(3.2 mm\) on each side. It is immersed in a uniform electric field with magnitude \(E=1800N/C\) and with field lines at an angle of \(\theta=35^0\) with a normal to the surface, as shown. Take that normal to be directed “outward,” as though the surface were one face of a box. Calculate the electric flux through the surface.

the electric flux=___(\(N*m^2/C\))
可嘗試次數(no. of submission)= 3

01

Problem 2

The cube in the figure has edge length 1.40 m and is oriented as shown in a region of uniform electric field. Find the electric flux through the right face if the electric field, in newtons per coulomb, is given by (a) \(6\mathbf{i}\) , (b) \(-2\mathbf{j} \) , and (c) \(-3\mathbf{i}+4\mathbf{k} \). (d) What is the total flux through the cube for each field?

(a)the electric flux=___(\(N*m^2/C\))
可嘗試次數(no. of submission)= 3

02

(b)the electric flux=___(\(N*m^2/C\))
可嘗試次數(no. of submission)= 3

03

(c)the electric flux=___(\(N*m^2/C\))
可嘗試次數(no. of submission)= 3

04

(d)the total flux=___(\(N*m^2/C\))
可嘗試次數(no. of submission)= 3

05

Problem 3

A point charge of \(1.8{\mu}C\) is at the center of a cubical Gaussian surface \(55 cm\) on edge. What is the net electric flux through the surface? (01小題)

the net electric flux=___(\(N*m^2/C\))
可嘗試次數(no. of submission)= 3

06

Problem 4

In the figure, a butterfly net is in a uniform electric field of magnitude \(E=3mN/C\). The rim, a circle of radius \(a=11cm\) , is aligned perpendicular to the field. The net contains no net charge. Find the electric flux through the netting.

the electric flux=_____
可嘗試次數(no. of submission)= 3

07

Problem 5

In the figure, a proton is a distance \(\frac{d}{2}\) directly above the center of a square of side d. What is the magnitude of the electric flux through the square? (Hint: Think of the square as one face of a cube with edge d.)

the magnitude of the electric flux=___(\(N*m^2/C\))
可嘗試次數(no. of submission)= 3

08

Problem 6

Space vehicles traveling through Earth’s radiation belts can intercept a significant number of electrons. The resulting charge buildup can damage electronic components and disrupt operations. Suppose a spherical metal satellite \(1.3 m\) in diameter accumulates \(2.4\mu C\) of charge in one orbital revolution. (a) Find the resulting surface charge density. (b) Calculate the magnitude of the electric field just outside the surface of the satellite, due to the surface charge. (02小題)

(a)the surface charge density=______\(C/m^2\)
可嘗試次數(no. of submission)= 3

09

(b)the magnitude of the electric field=______N/C
可嘗試次數(no. of submission)= 3

10

Problem 7

A uniformly charged conducting sphere of 1.2 m diameter has a surface charge density of \(8.1{\mu}C/m^2\). (a) Find the net charge on the sphere. (b) What is the total electric flux leaving the surface of the sphere? (02小題)

(a)the net charge=___(C)
可嘗試次數(no. of submission)= 3

11

(b)the electric flux=___(\(N*m^2/C\))
可嘗試次數(no. of submission)= 3

12

Problem 8

The figure(a) shows three plastic sheets that are large, parallel, and uniformly charged. The figure(b) gives the component of the net electric field along an x axis through the sheets. The scale of the vertical axis is set by \(E_s=6*10^5N/C\).What is the ratio of the charge density on sheet 3 to that on sheet 2?

the ratio \(\frac{\sigma_3}{\sigma_2}\)=___
可嘗試次數(no. of submission)= 3

13

Problem 9

In the figure, two large, thin metal plates are parallel and close to each other. On their inner faces, the plates have excess surface charge densities of opposite signs and magnitude \(7*10^{-22} C/m^2\) . In unit-vector notation, what is the magnitude of the electric field at points (a) to the left of the plates, (b) to the right of them, and (c) between them?

(a)the electric field=___(N/C)
可嘗試次數(no. of submission)= 3

14

(b)the electric field=___(N/C)
可嘗試次數(no. of submission)= 3

15

(c)the electric field=___(N/C)
可嘗試次數(no. of submission)= 3

16

Problem 10

In the figure, a small, nonconducting ball of mass \(m=1mg\) and charge \(q=2*10^{-8} C\) (distributed uniformly through its volume) hangs from an insulating thread that makes an angle \(\theta=30^0\) with a vertical, uniformly charged nonconducting sheet (shown in cross section). Considering the gravitational force on the ball and assuming the sheet extends far vertically and into and out of the page, calculate the surface charge density \(\sigma\) of the sheet.

the surface charge density \(\sigma\)=___(\(C/m^2\))
可嘗試次數(no. of submission)= 3

17

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