The work done on a beta-minus particle when moving kmcqg+ p y2z*k5hy6 pbnz t6p-6oz- m4it from Y to X is found to be −10eV. Equipot66c yzo625mz h *-kpmznptpbk-4g+qyential 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 betweencwzvx271 r7ojdv0w;f two parallel plates separated by a distance of 5cm. The p d7o;jwrvz02 xwc7vf1otential difference between the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamental force4./h at+x3dexibuc 3s 5hz+bdnt : e.fs in decreasing order of strenthd/3exxb3t 4ui he 5nc.fzsa.:b++d gth?

  A beam of electrons enters a uniform electric field, xnn, x*2iu8pwck4*ow 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 vertical eiltjjn06: )c bwco-p n7wh n1b u;y./slectric field, represented by the arrows. Which of the paths shown would r7sc/hwnct w1 .n:j6nb);yi-blo0ju p equire the largest work to be done on the hydrogen nucleus?

  Two charges, separated bycb)g0 / ok3zzg a large distance, are shown below, along with the electric field lines aobz)zgc0k/3 ground 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 equal magnitude vjadw0sy0h ux -*22r sare located on the same horizontal line. jhyd 0 2usws2r0ax*-v

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 distribute, 7s-f y1 fdrh6+agovqd positive charge is bent into a quartrav7fghs,+ qo6 yd1f-er-circle. What is the direction of the electric field at point P?

  A non-conducting sphere with radius R carries a uniformlyy ms);vhd r/1ebz8ov3 distributed positive charge with charmo/v 8h3r1 dy;)ebsv zge per unit volume 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 A and z4/w:fr 3q5jyt e q1knB. What may be r5wn4yje tq13 rk /:qzfepresented by 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 electric field represented by the equipote:gkqivv as55df n24 4tbf, gee3xd)4yntial lines shown by the lines in the diaa4tq gbfk 2ydg445nfvx3v:sie,) d e5 gram. The electron’s path is shown by the dotted 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 ae 1/,yid, axeu an*eeq6ww1a,n electron assumed to be orbiting the nucleus in the fiiew6ean1wye,, q xd* /1euaa ,rst energy 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 located as shown in the diabj ll31g)/xkc xwm;ww(1x9nn gram. Some of the electric field lines due to the charges are shown on the diagram. Pxcj;w xngm3k(1w1bl/x lw9)n oints 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 the electric field h 05rpfbxk+ticqa )7rmn2:2 land the electric potential due to a hollow conducting sphere vary with dis 2+r qc20xplnk h)5mat:fb r7itance from the center? The origin of the graph represents the center of the sphere.

  Which of the following is eqree6-1ymqh)3 tvz ri7 uivalent to the unit of electric potential difference? ee6z ht1) 3ymr-ivqr7

  Two point charges of −4.0μC and 88.0μC are separated by a distd l:v0qz818mso xtp9iance r=2.0cm as shown iv9mid1s :ltxzopq88 0n the 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 potential energ,gmmf.qo,;n +xfez:0t( ypp zy.
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 equipoten;b ldp-g0c +dt9mbo6otial lines are represented in the diagram shgmdb dol o9 pc06+bt;-own.
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 equipotentiawfyydh f6.o 8:l 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 jyfrq wo 1a; 57y it)ux6;vr+h20nC are held 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 die)esm e(ip ;ll mb+p8y9 i.qs l-cj8v.stance r are placed in a medium with permittivity ϵ. The charges are then moved to air so that they have thmb ej ;(ym pl+ 9)sv.88 ile.eslpiqc-e 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 opposite iz/jvj44iy*;sq9r dy +vl5qzly charged parallel plates pla4+l;r59i d*z vqj sz4yjiy /vqced a fixed distance apart. The potential difference 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 with charge +e exert elec(zc*p r 0io/f5v ojuy-yfx72rtrical and gravitational forces on one anothr0px2i(fyu5/7y cvj *-r fozoer. 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 renedvuw 33/ dnafv0pad ,u5f*9presenting the corresponding potentials are shown in the diagram, in an electric fia5w3df9 ,edvf un/*upva 03ndeld.
Which of the following is a correct statement regarding this electric field?

  Two positive charges.b wla ozi7k-l, +u eqj(6b-bk $q_1$​ 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 vertku02qlxm; ;z cices of a rectangle. Which arrow represents the net electric field at 20xzq ;mlk;ucthe center of the rectangle?

  Four identical negatively charged ot 4kdkx/..ok sbjects move in an electric field along paths shown as arrows below. Equipotential lines for the field are /.dko xkstk4 .shown. Initially, all four objects 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 ce1r9,qdjg uc1g rp 0o1onnected to a battery of potential difference V as shown in the diagram. A proton released from 1go 1g pr09ce1durj,qthe 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 apart.8)u5 apoou(aeyv fr); A third charge is introduced between the two charges as shoau)f8voo5(pr )ey u;a wn below;


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

  The diagram shows equipotent f.fb-8y 1raflial 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 distnk7 qcikg8 iza 52+ih(anc ak 5q8knii2ih(+zg7 ce R.



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

  Estimate the speed of an alpha particle that has accen88w aqugdbz u6,qvuzgtn/okx8 * (5 fy;5uy +lerated from rest in a unifo/tz 8xf8ozq+n85ybg,* y aq6(g ;5wud ukuun vrm electric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the totn*hju f f*kz(28hxgo +al electric potential due to two point electric 2ohj+kf8u*n (h*fg xz 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 variation of the electric potential due to a point ch *wu6a1j m:wi)sbat //wl ew(targe as a function the distancww/ubis:ta*/6) w law(e 1m tje 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 halbx/fas; j9i7 s a radius of 20cm and a charge of +3.2μC. Point A is used to describe a locatiofbjx;/a9isl 7 n 20cm 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 separated by a distance r as sflvyel8 d 9ib;b:h: lz 9x:u)whown.

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 shok0dry qv)a)8k rkt n(1wn on the corners of a square. Charges of +2Q and −Q, and unknown charges A and B are located as shown on the vak t(0d8)rnkqyrk )1 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?