The work done on a beta-minus particle whea2l:o)b d5z w0)cwinqn moving it from Y to X is found to be −10eV. Equipotential lines are represented bywo0nb:dqailc5w z )2) 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 lhq 0dmugx1 e1 9gax;/by a distance of 5cm. The potential diffe xdqm; 1 l19x0uhgg/aerence between the points is 50V.
What is the average electric field E?

  Which of the following correct5mbnvr0t :ok-gt d 2:ily lists the fundamental forces in decreasing order of strengtbvkmd2ir-50: to:t gnh?

  A beam of electrons enters a uniform electric field, as sh2+x1i fd9e kw,fv 8cis(ltv8town.



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 electri* ,ej15lj no./p pod-ijza(slc field, represented by the arrows. Which of the p,o z /pnp*sij-l.da 5(o1eljj aths shown would require the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distance+obc92 *gt psd, are shown below, along with the electric field lines around edt s*2+cgp9bo ach 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 are q)q9pnv2 i,r rb25ucblocated on the same horizont)5n,v rb22 u qrqip9cbal 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 d(tqx1qom pagts.lpg866 w o1-istributed positive charge is bent into a quarter-circle. What is the directionqgm-t(xgot a1o61p pq6 . 8lws of the electric field at point P?

  A non-conducting sphere with radius R carries a uniformly distributed/zo (a nar/:ph positive charge w:zh/pnoa ra(/ith charge 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 eqt 6.k tnr4v48a5i,i/kyjju-alqvk 4p uipotential lines in a field due to A and B. What may be represeni44tj. lavq6n,a ryp 5/ tku-jvikk84ted 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 equipotentiwn( ,kuyu51;.8hej0)4pt sv ox fhfltal lines shown by the lines in the diagram. The8 yk, uf4hl j1uhotn vfex; (w.0t)s5p 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 withy *5 kln0fqm6bqx.p 3r an electron assumed to be orbiting the nucleus in the first enq3np. 0y*mxbr lk6q5fergy 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 loca kzwo89 zvo):ated as shown in the diagram. Some of the electric field lines due to the charges are shown on the diagram. Points P and S are two)oazw8 ozk:v9 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 fwelyugah/0h)1n:zwp81 tt : aield and the electric potential du)aw za:h8nu1 t1y w e/ptglh0:e 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 equivalentj ycjh fd(9fp+5n z/ae.m9* ;nm* jmdd to the unit of electric potential differenc/d f*f d ym 9mz9cnmdp+ne*j.5ajh;j(e?

  Two point charges of −4.0μC auwei qt*w9tp g,71ha7nd 88.0μC are separated by a distance r=2.0cm as shown in the diteuw, h1t*qia 7pg7w9 agram

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 e c,x-96p:bmdl1ew yx qnergy.
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 lin/b09jincmpp1ppw; p .es are represented in the diagram shcjpi9 0m;p1 w/p b.pnpown.
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 two /- tffbn*)kfth(q 7h jcharges.

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 ar0t . )rr6ctkb x*tyb;.l eqto3 bfs2s,e 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 distance r are placeduz9 lhg,94a6pcwqcje62- gqt in a medium with permittivity ϵ. The charges are then moved to air so that they have the same force between t2e , uhgcgtz-9qpc jw 9a66ql4hem 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 opp ju999;di jt), xwlfdjositely charged parallel plates placed a fixed distance apart. The potential differencxd;j 9tiju 9,)dwl9j fe 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 electrical and qa50op*itb j8gravitational forces on one another. To the nearest order of magnitu5to0 pj*i8bqade, what mass must the object have to be so that the net force acting on it is zero?

  Equipotential lines representinbg/ b*x x0m) jwuc+,4ifev 6)khc1w veg the corresponding potentials are shown in the diagram, in an wkm eb,excgv 1u*64))fxb /+hwc vj0i electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges e2,hg-z5kvn5 k4 w scf$q_1$​ 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 ai,z-778gphjj)x ei bzre at the vertices of a rectangle. Which arrow represents the net electric fi jx,77z g)8zpjb e-ihield at the center of the rectangle?

  Four identical negatively charp7o ybod,z:1rged objects move in an electric field along paths shown as arroyd 7zp:br,o1ows below. Equipotential lines for the field are 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 dist,b a4paexr+0nance d and connected to a battery of potential differp0brx ,4ea+n aence V as shown in the diagram. A 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 9mzdf-8.g;qmq0y ki15yh nt t pxga092C and 8C respectively are placed 9cm apart. A third charge is introduced betweetn0ygdk9zf9g m.y05t -mh1 xq iapq;8n 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 d*km u5uet81co ue 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 diagrfx1.5 pgcfn)nam, the size of the charges is small compared to the distance fxfg1pn5n c.)R.



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

  Estimate the speed of an alpha particle thatyu/up2p: /a2rd q wat) has accelerated from rest in a uniform e) p upayq/:dt/2u2wralectric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric)t*kiqx wvekclf*:3// kq2 bti m( b43 lking1 potential due to two point electric cha13w imbk3gixeqv)2(*c/fbk/tl k t :n iq* lk4rges $q_1$​ 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 po7eq0s,g4c-eivv;t,0e os a3e j ju4msint charge as a function the disq 0o,gmj,ssve ie4v0;4csa eu7je t3-tance 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 r5da -k*fxt1cq j-s s/madius of 20cm and a charge of +3.2μC. Point A is used to deska cs/tf 1*m j-s5-qxdcribe a location 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 a83ytdxsy4ty.q htw: .s 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 oc4y )jocq 0;aon the corners of a square. Charges of +2Q and −Q, and unknown charges A and B are located as sha jo );occy04qown 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?