The work done on a beta-minus partic monb, r ;kw)0vk2v+x6v ipv8cle when moving it from Y to X is found to be −10eV. Equipotential lines are r,kvvrmk; voi08w + x)62cp nbvepresented 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 paralleljc p vxu1yw6)6 plates separated by a distance of 5cm. The potential difference 6uvy6w1p)xcj between the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamental forces in decreasing o0bji4zyjpw ,+b g97qqf jp05order of strej w+pq 4,00bij7 qj5bog zy9pfngth?

  A beam of electrons enters a uniform electric field, as o- ,,qjt4.mdqupyhg6 shown.



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

  A hydrogen nucleus is held stmq,k sb:n4tw:.dpp) dationary in a uniform vertical electric field, represented by the arrows. Which of the paths shown would require the largest work to be done on the hydrogend):q w b.stpmd:p4k,n nucleus?

  Two charges, separated by a large distance, are shown below, along with the el )mwlo mo7q4z,l(fof:ectric field lines aro fz7mo l(f qlm4owo,):und 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 are locatyxx(mu)*/kt;m h+ p qqed on the same horizontal line.pt xmxhumq;q/k(*y+)

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 chargeq/;c nq / b;kf7oi(xbnh6e tv6 is bent into a quarter-circle. What is the diiv;c7/tekbf/o nx6 6b nq ;(qhrection of the electric field at point P?

  A non-conducting sphere with radius R carri5rj qqmd:l m/4es a uniformly distributed positive charge with charge per unit volume ρ.Point P ism5:qd j/mq lr4 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. W8rj y2sh bvbo1q.j;7j hat may be represe;q18rb s2vhobj7j. yj nted 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 equipnesme2(lx sqc -kjb3( qf3*e 9otential lines shown by the lines in the diagram. The electron’s path is show( fc 2qb3(j-3 xlkn9es emse*qn 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 m,w-vovne1 c ttt0,*:n1 h/+zuaoem x 27jkn ito be orbiting the nucleus in the first energy level with ttma,1i uv : nne,0/m 21e c-7kwv+ nx*thzjooa 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 and5*x(-xqqafd0x svo g 3 Q are located as shown in the diagram. Some of the electric field lines due to the charges are shown on the diagra d( s5xo30xq*vx a-qfgm. 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 the electric field1c 5nur 3wtxjl lb)rjj-5g6g9 and the electric potential due to a hollow conducting spherljb rrjltgu 6j1g)w -x55n9c3e vary with distance from the center? The origin of the graph represents the center of the sphere.

  Which of the following is equivalent ;q*mu)v sc6kh to the unit of electric potential differenc*s)6hu; kcqvme?

  Two point charges of −4.0μC and 88.0μC are separated by a distance r= lec.2( gb8zvra o48zf+q/ pmk2.0cm as shownm /v(2kl.rf eo 8apzb 4q8+cgz 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 potential e sv8hq e*;y+fknergy.
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 lineszybu1rkx6 6k7c mt/;o are represented in the diagram shown.6uo/ym 6t brkxkcz;71
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 equipojp+ gofux mh/6+zx3m su.fp;6bcn 0 m-tential 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 held at a fixeyk.fj5x :e pb8gsv2.f d 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 bym h6qpels- a; 5hc1dn2 a distance r are placed in a medium with permittivity ϵ. The charges are then moved tan d21ch6 5;ep-lhsmq 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 releasir/4p6 sp+,/bq:iv :s mdsoyi ed from the negative plate of two oppositely charged parallel plates placed a fixed distance apart. The potential difference between the two plates is,rdqyv / pmss:4o6i/:i+ isbp 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 objeokdj/y6k3( tvct with charge +e exert electrical and gravitational forces on one another. To the nearest order of magnitude, what mass must the object3ydkkoj t6/ (v have to be so that the net force acting on it is zero?

  Equipotential lines representing the corresponding poten0 1ytg3adhp bjp p2.*qtials are shown in the diagram, in an electric fipg pd3b j qt0ph*1y.a2eld.
Which of the following is a correct statement regarding this electric field?

  Two positive charges )qcyi.n f.jn2 $q_1$​ 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 particz x 6f8flko roqa)*m4-les are at the vertices of a rectangle. Which arrow represents thf*)84flao-orm6zkx qe net electric field at the center of the rectangle?

  Four identical negative6fq76) zpuot hly charged objects move in an electric field along paths shown as arrows below. o h6)pftquz67 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 distance* n;v7; elhxm *5mpjqb d and connected to a battery of potential difference V as shown in the diagram. A proton released fromm j*bxm7hpnlq;e *;5 v 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 8levirz ,dz rfbe11.1*C respectively are placed 9cm apart. A third charge is ib*e1fr lev1d z. rz1i,ntroduced 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 equipnlf f4;r-p9h 3w c;wslotential 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 i m60ufh 0:mgl7cqa-0yi, mq(fz ve 1ats small compared to the distance 6 1fm 0m0fu(iygal0t a- :q7,zec qvmhR.



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

  Estimate the speed of an alpha particle thaxy))f621dp; vu5*6 bsy pcx ifbfsvv5t has accelerated from rest in a uniform electric y p2p6b; f15y6u)v 5bci vvssdxffx*)field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potential due to,krf5+jnz;w kt g4wk 9/dpnk9 two point electric g4ztd p/ w,r;9kw5 kf9nnkjk+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 llfir;n,qi-pa:1a*iu2s m x. due to a point charge as a function the distance r from its iruf lap.i; *-1 x,:lmsai2qncenter.

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. Point1g/l41bxad7+ c tvcf h A is used to describe a location 20cm from the surface of the spxb+ht7g1acc 4/vfld 1here.

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 distancs9bazz sta.(osl;*,d 7ixir5 e 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 cornersac,a ,t m.mys ;1ram0ajy,a4+oi hj2r of a square. Charges of +2Q and −Q, h,ma, ao4.,aa2a;1mci ryr+ mj0jyts and unknown 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?