The work done on a beta-minus particle when moving it fro:awk z5i. +anz0j8pmvm Y to X is found to be −10eV. Equipoa m zjkn+i:pa.5vz0 w8tential 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 bettj3yhr7nnpo 2w c-3) vl* mns lgf077yween two parallel plates separated by a distance of 5vp0y- c7sn7)ln7jg 32wl3r my nhotf* cm. The potential difference between the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamental forces in9v1dtc +r)d a3wg1vcu decreasing ordec cr9v v)dgw+1t31u adr of strength?

  A beam of electrons enters a uniform elecw c89hpog 1(butric 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 vf mv/h )5l yp.(hc8ijrertical electric field, represented by the arrows. Which of the paths shown would require the lar pi8l(.v5 m/ )jyhchrfgest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distance, are shown below, along with tabp+rf9d u1 nw0k0y(x he electric fiwud +00xkn(bpf1r9a y eld lines 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 cha p;3vc 9 rf: 2mfj/tkkqoky*7snbzk)*rge of equal magnitude are located on the same horizof7)rpj tnz9s cqv f y3;k:km*kkb2*/ontal 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 dav9* x,:k manx. ilx3distributed positive charge is bent into a quarter-circle. :dm 3xxklan.ai* ,v9xWhat is the direction of the electric field at point P?

  A non-conducting sphere with radius R carries a uniformly distributed positive chy36n*q ,im vfharge wit mqihn*6yf,3vh 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 equipotential lines in a field due to A and B. What 81kvxqjbe/p6bx v 1x;may be represented by A a1kej8v6b;v1px/ bxq xnd 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 equipotential b0ih f6r9 tpeyd7-2thd lj)3dlines shown by the lines in the diagram. Th ip 7tbdr 3e)y2f6h 0jdt9-lhde 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 an electron assumed to be or/ 918k2mqc/ybbidzd+q v *ca rbiting the nucleus in the first energy level with a speed ofbdka/+2 /bimvcc9r8 1 dyqq*z  $2.18\times10^6ms^{-1}$
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 diagramna*)zy/83v zxm fq;u/2ik rgk . Some of the electric field lines due to the charges are shown on the diagram. Points P and S are two points as locatem y/kzv;2*x8g a/3irqkzf un )d 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 field6c;9p;omh8jytj4)m4 xh jjzu a :u (bj and the electric potential due to a hollow conducting sphere vary with distance from the center? The origin of the graph reprecayxm)ju 8mjuo;j(6tbpj4 h;hz:9j4 sents the center of the sphere.

  Which of the following is equivalent to the unit o /5e. pspokvgpwt *z0)f electric potential differencetpvg)5ppwoks z* .e0 /?

  Two point charges of −4.0μC and 88.0μC are separated by a distance r=2.0cm as shatkov9nb)thz460d 9 h; ig8k sgk6tts9z)obih9;a0 d v4k 8h nown in 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 potentl*d dl( +nl44:c r0jd fkfcyw)ial 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 lc fpdd d;5u2 ;5d6ubbdines are represented in the diagram shownfdcuup2d 655 ;b;d ddb.
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 cha v3l g+. sw0qohtthovvuy/+sl. q90k0rges.

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 helfuyxyb1k0(638et :ntoy( qea 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 w( 9-ge h007+ q ,k prhihm)rfmvkxfwj9ith permittivity ϵ. The charges are then moved to ai7,) hxk(9e rm pmjhv r0g-h+0fwf9k qir 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 ovbi: n t5r81 chm-sag. ip,9b;.idp msf two oppositely charged parallel plates placed a fixed distance apart. The potential difference betwee.i;d v:1bipn 9hi8g.smb, atp-sm5crn 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 exert7dmi vsek p6eore368, electrical and gravitational forces on one another. To the nearest order of magnitude, what mass must the object have to be so that the net force e3 p7ver68sod mi6,keacting on it is zero?

  Equipotential lines representing the corresponding potc mqrje j (4m3who80h b.:*jbsentials are shown in the diag3ohcb *jr804bw.jsqmj:he( mram, in an electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges/sb ut+ *vlp:8cgi 2p0xu-ym b $q_1$​ 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 rect5a iq*v) n9qwkangle. Which arrow represents the net ele)n *5q9wi kqavctric field at the center of the rectangle?

  Four identical negatively charged objects moi( orihdl ,.)vve in an electric field along paths shown aih, )riv(dol. s arrows 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 separ4;ydy osm1gr, ated 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 reaches1 g;royyd4sm, 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 mag3 lgb2rhrf.9vr- fqt. yz 5s.knitude 2C and 8C respectively are placed 9cm apart. A third charge is introdufsl rb .y2 krqv.93zt-f h5.rgced 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 t fwu .0eqpc-bw:l hosq3)*0hlines 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 g8 (vb1kwtggr1fcq3yn57 z ox 85m4afcompared to the distancenyrz 5f4b58gm qg1 v 1g7(otafk3cw8x R.



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

  Estimate the speed of an alpha particle tycz9o,3tvxt sejv k)5 elmbk/9 )b:3qhat has accelerated from rest in a unif vveqk/ s3, k9j5c3 xb y)m:b)tztoel9orm electric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potenti) 6y:wtnu,r(cmwomg6jgooqe2 5 2 dc,al due to two point elecm,j(m2)gt:c 6o yworwdu , qge6 n25cotric 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 variambo6;h*jelj 6 tion of the electric potential due to a point charge as a function the distance r from itsj *lje6;hm6ob 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 of 20cm and a charge of +3.2μC. Point A is u,8b.+zf6avpn p nqi(hiicj 03 sed to describe a locationph( 3.0nni,fi 6+ jpbv8caz iq 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 shoki dfhw+.dkh 99bw0v0wn.

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 squarh+.z *nf muj4uaat+,/efrim 3e. Charges of +2Q and −Q, and unknown charges A and B are locatedi . umn3um j+tr*fa+ef/ha4z, 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?