The work done on a beta-minus particle xfw6 x64nu:zf when moving it from Y to X is found to be −10eV. Equipotential lines are represented by thx4funx 6f z:6we dashed lines in the diagram.
What is the work done by the field on an electron when it is moved from Z to W in the field shown?

  A point charge is moved between two parallel plates separated by a distance of 5akp 2xwzir -.* ) 4xfucb-wc*tcm. kxc x ta-izwb-*2c.rf)p4*uw The potential difference between the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamental forces in decreasingbapzhj,r (b; uue5 /-o order of strenge/oz ar; b-b,j5u(pu hth?

  A beam of electrons enters a uniform 9i5vz .w(rsov plqjj3 7fd:1gelectric field, as shown.



What effect does this field have on the horizontal and vertical components of the electrons' velocity?

  A hydrogen nucleus is held stationary in a uniform vev f;)feo m9ys fn;w ws3*g 62p 3j8h/oq/xlzufrtical electric field, represented by the arrows. Which of the paths shown would require the largest work to be done on the hydroge68vuomz/ff;;ol3pj swn2y s *xewf3h f)9/qgn nucleus?

  Two charges, separated by a large distance0w1ogeo.l*zzvd c(r s ik;/. h, are shown below, along with the electric field lines around each cha.w. hs1cgl;vko d rizz 0e(*/orge.

Which of the following statements is correct?
I. The charge q is positive.
II. The charge q is equal in magnitude to +Q.
III. The electric field magnitude near the charge q is greater than the magnitude of the field near the charge +Q.

  A positive and a negative charge of equal magnitude are e4+ l8i8gee,d dt 7saf,ybf 61m gsds5located on the same horizontal lines+8g,t d edbf5 es mydflge8s 64ia1,7.

What is the direction of the net electric field at the point marked X, equidistant from the two charges?

  A plastic rod carrying a uniformly distrib;fzwx h-yzomjgsqlpz72e7uo4 p ; mix 9e,1+;uted positive charge is bent into a quarter-circle. What is the hiop;4ulxemjzopmy,s2- +gw ;9f7 ;7z qxze1direction of the electric field at point P?

  A non-conducting sphere with radius R carries a uniformly distributed p e +cuigqgecf(t, .2s,c jf,st i24xe.ositive charge with charge per unit volume ρ.Point et,2ijf,se ( gc.e4 ifcsucx+g. ,qt2 P is at a distance r from the center of the sphere.


The electric field outside this sphere is given by $E_{out}$ = $\frac{ρR^3}{​3ϵ_0​r^2}$
While the electric field inside the sphere is given by $E_{in}$ = $\frac{ρr}{​3ϵ_0​}$
Where $ϵ_0$​ is the free space permittivity.
The radius of the sphere is 2.0 cm.
1.Calculate ρ when the charge on the sphere is 0.1 μC. ρ =    $\times10^−3\,Cm^{−3}$
2.Determine the electric field at point P, when =r=3cm. E =    $\times10^5\,NC^{−1}$
3.In the space provided, sketch the variation of electric field E with the distance from the center of the sphere r.


A positive charge is released from the surface of the sphere.
4.Describe the motion of this released charge.

  The diagram shows the equip:57-sj* vdunq ppc) e ew(*fomk9p9fhotential lines in a field due to A and B. What may be represented bdjee: w)muf v5npqf pc9o(7ps-* *k9hy A and B?

I. 2 equal masses.
II. 2 equal charges of the same sign.
III. 2 equal charges of opposite sign

  An electron enters an electrgzmea9b 7spcwh5 4w6sc/ f)o .ic field represented by the equipotential lines shown by the lines in the diagram. The electron’s path is shown by the dottedf.7/z camsew9sh)pg4bw 6c o5 line.

What is the path of an alpha particle entering the same field with the same velocity as the electron?

  An atom is being modeled with an electron assumed to be orbirrd+dx1 w) dm*+awl0( j-jlmuting the nucleus in the first energy *l 1rxuddwmjd +l(jw+)mar0 -level with a speed of  $2.18\times10^6ms^{-1}$
The orbital radius of the ground state, in m, is given by
$r=(0.53\times10^{−10})n^2$
Where
$n$ = order of the energy level.
1.Determine the charge of the nucleus. q =    $\times10^{−19}$C
2.(1)The electron moves to the second energy level where it orbits with a kinetic energy of $5.44\times10^{−19}\,J$.
(2)Explain whether the centripetal acceleration increases, decreases or stays the same.
Calculate the orbital period of the electron in the second energy level. T =    $10^{−15}\,s$

Two positive charges 2Q and Q are 0 yr 2 g07l0:gohqxpdylocated as shown in the diagram. Some of the electric field lines due qh2 y:goy0 0dx 0rl7gpto the charges are shown on the diagram. Points P and S are two points as located on the diagram.



1.Define the term electric potential.
2.Sketch the equipotential line that passes through point P.
3.A positive charge is moved from point P to point S. State and explain how the electric potential energy changes due to this move.

  Which of the following pairs of g4o0 b, il;p9 0fndlfdyraphs represents how the electric field and the electric potential due to a hollow conddb0linf9l4 y, f0d o;pucting sphere vary with distance from the center? The origin of the graph represents the center of the sphere.

  Which of the following is equival*xtxqko34 pd)* *uphlent to the unit of electric potential difference ko*x )*qt d3*up4xlph?

  Two point charges of kc0l:dn1u v w9/vs(aa−4.0μC and 88.0μC are separated by a distance r=2.0cm as shown in the 1us/lvc 0nv:awda 9k (diagram

1.State what is meant by electric field strength.
2.Calculate the magnitude of the electrostatic force exerted on each charge. F =    N
3.Three points A, B and C are at the regions shown in the diagram.

(1)Deduce which point(s) could have zero electric field. Explain your reasoning.
(2)Calculate the distance(s) from charge q1​ to the point(s) of zero electric field. X =    cm
(3)The two charges are inserted in a water tank separated by the same distance as in air.The permittivity of water is 80 times that of free space.

Discuss what change, if any, will occur in the location of the point(s) of zero electric field in this case. Justify your answer.
4.The charges are removed from the water tank, and $q_1​$ is replaced by another charge that is identical to $q_2$​.
Point P is at equidistance d from both charges as shown.

Draw an arrow indicating the direction of the electric field at point P.

1.Define electric potenz t uik48v:a2ktial energy.
2.Two parallel plates are at potentials −2V and +12V as shown in the diagram.

On the diagram, sketch
（1）The pattern of electric field lines between the two plates
（2）The equipotential line which represents zero volts.
3.Calculate the work done by the electric field on a charge of −6.0μC when it is moved from plate B to plate A.

  A positive charge Q and four points on equipotential lines are bne q3ekv1r:u;wszg;au 6; o7represented in th keabeu61 ;7nrq u;s3zo g;wv:e diagram shown.
A negative ion is moved from location 1 to 2, then to 3 and finally to 4. Which of the following gives the correct nature of the net work done on the ion during each section of this movement?

  The diagram shows the equipoten dm (n/ mv)ss6nrw,c6ztial surfaces of two charges.

Which of the following can be the directions of the electric field at points A and B?

  A charge of X and a charge of 20nC are helnd7 s*hbtjch7:w *bh )d at a fixed distance.

A point where the electric field is zero can only be found in region 1. Which of the following statements is true about the charge on X

  Two charges separated by a distance r are placed in a medium wit rrmihk.2l l 56-cd06c+pfj yvh permittivity ϵ. The charges are then moved tj6c i-+d2kym6phr.v5flc0 lr o air so that they have the same force between them as that in the medium.
What is the distance between the charges in air, knowing that $ϵ$=$ϵ_r$​$ϵ_0$​?

  An electron is released from the negative plate of two oppositex8-vh*l8 g )/:vkgmcabm lzp- ly charged parallel plates placed a fixed distance apart. The potential differencp/ 8z8h l-l)vgb-m:*amxgvkce between the two plates is V, and the electron reaches the positive plate with a speed v.
What would be the final speed of the electron if the distance between the plates remained the same, but the potential difference between them were doubled?

  A proton and another object witr49ppsh2hki vs:nylt+75i/ f h charge +e exert electrical and gravitational forces on one another. To the nearest order of magnitude, what mat4f /pr7lss+h ii9yv5kh :2 npss must the object have to be so that the net force acting on it is zero?

  Equipotential lines representing tk+km47vs e1y + v4ldoihe corresponding potentials are shown in the diago4+ ms4k ikv1+d7lvyeram, in an electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges )-a)9t2vddr; z k/hldrlw9 om $q_1$​ and $q_2$​ are separated by a distance d. A third positive charge q is placed at a distance $\frac{d}{4}$ from $q_1$​ so that the charge q is in equilibrium.


What is the ratio $\frac{q_1}{q_2}$

  Four fixed charged point particles are at the vertices of a rectanglre/n;x 7t. y wdzb,az4e. Which arrow represents the net electbn/exd y.warzz;7, 4tric field at the center of the rectangle?

  Four identical negatively c 6;jjfhmv +es- 9lzp+yharged objects move in an electric field along paths shown as arrows below. Equipotential lines for the field are shown. Initially, all four obje;lpe f-v6 yhmj j+zs9+cts have the same kinetic energy.

What is the relationship between the kinetic energies of the objects at the end of their paths?

  Two parallel plates are separated by a distance d and connected t80t b* o-m-iausg(mt ho a battery of potential difference V as shown in the diagram. Ab- t(*gmmha s 8otu0-i proton released from the positive plate gains a speed v when it reaches the opposite plate.
The separation of the plates is decreased to $\frac{d}{2}$​.
What would be the speed gained by an alpha particle released from the positive plate, when it reaches the opposite plate?

  Two positive charges of magnitude 2C and 8C respectively are placed 9cm apansll blg08 8.k-c bhr/sdq 3r,rt. A third charge is introducelk s/blrd rnc b.q8gs3, hl08-d between the two charges as shown below;


At what separation, X, from the 2C charge is the electric field strength equal to zero?

  The diagram shows equipotential lines due to a p q8h4wq1m;5s w 2**v lstvrct:tki m/zoint charge.
A second point charge of 0.8μC is moved from X to Y.
What is the work done on this charge?

  In the following diagram, the size of the eg vi)9m6*p1, ris57dxah bkecharges is small compared to the distance * p16eg)a hdrix,b9mes 7vik5R.



What is the direction of the force on the charge in the center?

  Estimate the speed of an alpha particle thaty, ecv+oata 07 has accelerated from rest in a uniform electric f,atoc7e v y+0aield E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total elhk9s3h+qld ; uectric potential due to two point electric ch lkdh;39s+h quarges $q_1$​ and $q_2$ located 4.0m apart. The distance r is defined to be zero at the location of $q_1$.

What is the ratio of $\frac{q_1}{q_2}$

  The graph shows the variation of the electric potential due to a point charge asp,zdf :o* a 4u0kvop:k a functionf4,*a0kpvuo dk o:pz: the distance r from its center.

Which of the following gives the work done by the electric field‾by the electric field​ on a charge of −3μC when it is moved from $r_1$​ to $r_2$​ ?

  A conducting sphere has a radiutu:9hh)h f4tpsnvc /0s of 20cm and a charge of +3.2μC. Point A is used to describe a location 20 ups:0/9v4)hh fht tcncm from the surface of the sphere.

1.Calculate the electric potential at the surface of the sphere. State the correct SI unit for your answer. V=    $\times10^5\,v$
2.(1)On the axes given, sketch the variation of the electric potential due to the sphere with distance from its surface‾from its surface​. Label point A on the graph you have drawn.


(2)Without calculation, outline how the electric field strength at A may be determined using the graph you have drawn
(3)A proton is initially held stationary at the surface of the sphere. The proton is moved from the surface of the sphere to point A. Calculate the work done on the proton. W =    $\times10^{-14}\,J$
3.The proton is released from point A. Outline the subsequent motion of the proton.

  Two point charges are separcnbltjt(+ +hwenljba34 ;t r58fy, 6oated by a distance r as shown.

The negative charge's acceleration is 3 times that of the positive charge.
What is the ratio $\frac{Gravitational force​}{Electrostatic force}$ between the two point charges?

  Four point charges are placed as shown on the corners of a square.dyr ze f6520m/ tuz;mq Charges of +2Q and −Q, and undmqum2r6 f0zt e5zy/ ;known charges A and B are located as shown on the diagram.

At the center of the square, the total potential is zero, but the resultant electric field is not zero.
Which of the following is a possible combination for the charges A and B?