The work done on a beta-minus particle whenci yy4ru 3;n oqmb02+n moving it from Y to X is found to be −12 nr+4uyi;cb qo3 m0ny0eV. Equipotential lines are represented by the 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 oe)e/ /;5jgv /tbidu ob8a(q3qv6 pgdih5 ll7df 5cm. The p8 q7te;j5dvd )de3 ( iu5gpl/laq/6ib hgbov/otential difference between the points is 50V.
What is the average electric field E?

  Which of the following correctly lists xri //sk6*tyb68m(y tk. ne6 q l-xavtthe fundamental forces in decreasing order oan/qkyxkiex 6.lv tt*yrbm-s66/t8 ( f strength?

  A beam of electrons enters a uniform electric field, as sr 1zmdgy:7-pshown.



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 verticalwcu.z5vgmdg ;wno.fxc:9 .1q tl1gj2 electric field, represectdv owmx l.q2f g9z 1.ugc5:.1ng;wjnted by the arrows. Which of the paths shown would require the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distance, are shown bs n3oy*h t7kht uk:9(a9ixiy 2elow, along with the electric field lino9 9yy (itxauh2*:7nh3k tisk es around each charge.

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 equar:/ddx/ 8z+u5y jvbxkl magnitude are located on the same horizonvk dj b: d5+//x8uxzrytal line.

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 distributed positive charge is be b8m0g(cd0utm/jt;.qgownz, nt into a quarter-circj;mgm0tgczut0d. n/,8 qbo( wle. What is the direction of the electric field at point P?

  A non-conducting sphere with radius R carries a uniformly distri fab5c dedv3( q:we:e3buted positive charge with charge per unit d :e 5(cbfaevq3d3 w:evolume ρ.Point 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 equipotential lines in a field due to Abd ;+zz5y fe yt+xb85d and B. What may be represented by A at5dzyzf; xe8dy++ bb 5nd B?

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

  An electron enters an electric field rek u-,c)ihtqgkv 7 ,eu;ye: g1jpresented by the equipotential lines shown by the lines in the diagram. The electron’s path is shown by the dottedegejt-1hgk,i;v c,u:u7 y )qk 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;8pks g:kci7tf+c c0 x assumed to be orbiting the nucleus in the first energy level with ag;ispkcxk 7t c8:+0cf 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 locybfc5. 19j hsu hi47xmated as shown in the diagram. Some of the electric field lines usc5f9jiyhm4 bh17.xdue to 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 graphs represents how thec k7)t6mghr6zapqfyv:3; (rr electric field and the electricz6 cy7f6 rga(m;thr pq r3:)kv potential due to a hollow conducting sphere vary with distance from the center? The origin of the graph represents the center of the sphere.

  Which of the following is equivalent to the unit of electrw0/ao b3 s:rgjic potential differenceb30 /asrg :woj?

  Two point charges of −ro qvezl;1q *)4.0μC and 88.0μC are separated by a distance r=2.0cm as shown in the;qv)l zeo1qr* 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 potelx5hx59+sd* 2k morml p*vuz 4ntial 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 anxx ull-+t d:)t sxkct;-wi- v/d four points on equipotential lines are represented in thet) +xv-ut cxtxwll :sdk-;i- / 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 equipotential surfaces of yj 16wtdnqp2 3two 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 held at a z(h(v l3 ctqb. 7h,dbyfixed 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 distancdcx):iv mz f:ivi+f+) e r are placed in a medium with permittivity ϵ. The charges are then moved to air so that they have the same forccdi+xv+fv ))i:f m:zie 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 oppositely charged paralafkb+4 xu7-bsb g9m qdu p)j) ek(ij;7lel plates placed a fixed distance apart. The potential difference between the two plates is V, and the electron reaches the positive plate with a speedijue 4suqmp)9-b g7kb(xfba d+k;j)7  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 with charge ol*xo16x/w is +e exert electrical and gravitational forces l6x1 i/ ox*oswon one another. To the nearest order of magnitude, what mass must the object have to be so that the net force acting on it is zero?

  Equipotential lines representing the corresponding potentials are shown in6;a a-y x;wku6jo-h ow the diagram, in an electric fiel; hk;wo6ja- wa oxu6y-d.
Which of the following is a correct statement regarding this electric field?

  Two positive chargesml0 n,rn:n;wa $q_1$​ 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 recnlfg h(8q)i*qnvkt0p 7/ ;yyk tangle. Which arrow represents the net electricl)fpq;ht k*8ny7/(n0gvk i qy field at the center of the rectangle?

  Four identical negatively charged objects move in an electric field along pathg d:+asduslhe 0. 5p1ls shown as arrows below. Equipotential lines for the field are shown. Initially, all four objects have u0+:lle.hda 1ss gp5dthe same kinetic energy.

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

  Two parallel plates aren:bx *d)id ownwi(2a3x wy)uga, p6:v separated by a distance d and connected to a battery of potential difference V as shown in the diagram. A proton released from the positive plate gains a speed v when it reaches)wbdpn :uxina) xy:6vd3,w*g (2aoiw 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 maqd/gf:sd42q xyb3:l v ha7s1agnitude 2C and 8C respectively are placed 9cm apart. A third charge is introduced between the two lgbasfd/sa:v3:qq2y4x1d 7 h charges as shown below;


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

  The diagram shows equipotenti31lg;, e2d +.:wviertty cdts al lines due to a point 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 charges is small compared to the dist fz2t 0v7,vvexanfz0 x,ev7 v2tvce R.



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

  Estimate the speed of an alpha particle that ha jifyvt6z(.5ks accelerated from rest in a uniform e.it5kfjz 6(vy lectric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the tos+x e6s ww0l9mtal electric potential due to two point electric sews60xw ml9+charges $q_1$​ 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 variatiqhp9/( g ex3 ikkdw/9k eymujda(: )r4on of the electric potential due to a point charge as a function the distance r f9emqdujxky p 9/)rwk(dhgi 43:(/ k aerom 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 radius ofjhs u0.sp5 jva3zf:1i 20cm and a charge of +3.2μC. Point A is used to describe a location 20cm from the surhj0u1j vafz 53pis.:s face 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 separated by a distancl f),wdht+ wc0e 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 axuo7/doj:hc b f:2y/ore placed as shown on the corners of a square. Charges of +2Q and −Q, and unkf oj7 yudxohc /:/:2obnown 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?