The work done on a beta-minus particle when moving it from Y to X is ffw s1jq,, x 6 urcy/,sr5jh7chound to be −1c/,1csu7 5swhy jfrj,6qx, hr0eV. 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 mov1s7 prhukcc 91e.m1paed between two parallel plates separated by a distance of 519khp.a7 me1supc r1 ccm. The potential difference between the points is 50V.
What is the average electric field E?

  Which of the following corre/qns2sc; pt u(pgx3;ectly lists the fundamental forces in decreasing order of str( ensc3xp2t;p/ gq us;ength?

  A beam of electrons enr+gke bgb.;t5/v nan; +ip,rpo(-xx q ters a uniform electric 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 2j7ajp0 q/1- ajphelqzugb ;1a uniform vertical electric field, represented by the arrows. Which of the paths shown would require the largeg7qzh-2bjl uppa0 q1ja;1 /jest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distance, are shown below, along with the f7n:/p 8jji7luk n9onelectric field lines around each charge. n9 o/i:fkun7jpj8l7 n

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 pdw 0ky:36i qsare located on the same horizont60ywk:qp dis3 al 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 distribute7szjx7z7 s ehi*j48lcd positive charge is bent into a quartee7j7c* i l8sz4zshjx 7r-circle. What is the direction of the electric field at point P?

  A non-conducting sphere with radius R carries a uniformly dist *msod((rcrn;i+zg (:rf4kx g ributed positive charge with charge per unit volume ρ.Pointoirg4r d:f sx (mk(gr+zc;n*( 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 f)zspdq 0/yo.lt3 :nd oield due to A and B. What may be represented b:noz.t/dp dy0 oqs)3ly 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 yc:807atoro*dd )hxw electric field represented by the equipotential lines shown by the lines in the diagram. The electron’s path is shocxd 0ty wd*o)8o r:7hawn 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 o)pj 8 s tki( vr8i5pjx 718(voj*hgkqmrbiting the nucleus in the first energy level 8mj88xipi(v 1 kj)ohrs(qt v7pg*k5jwith 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:u)qe v*n-d v 9u4uvcm diagram. Some of the electric field lines due to the charges are shown on the dinuv ):v dv u9m4quec*-agram. 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 ele(mr+ s/gl(u7sj 3gpp6o iru:uctric field and the electric potential due to a hollow conducting sphere vary with du3 +6ul /i:msrj gpous7pr( g(istance from the center? The origin of the graph represents the center of the sphere.

  Which of the following is eef ihya)29qswy yy p-:bip02)quivalent to the unit of electric potential differenc0f2 ) yeyip)qyp i-a29 bhysw:e?

  Two point charges of −4.0μC and 88.0μC are separatehkbl -y2)5sjf6nqroa ( ps u+:d by a distance r=2.0cm as show nf(l:26qyhu+5kaorb s)s -jpn 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 potd j3qmorm;( .lential 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 equipotentqr(, /e9 rgjlb, yh94sjhw-wnial lines are represented in the diagram y 9jb/(ewwrnj, rl-hg9,sq4 hshown.
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 charges.)wtpcuk:;* cd,h62qrj .k ox h

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 fi8 o0skux ein52s,cnl6xed 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 yg4pj ;7/qyl / rges+vwith permittivity ϵ. The chargesj/es +4;yp rg7 y/lvqg are then moved to 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 released from the negatoy r.w.bly, z-4vd,y acv1/jqive plate of two oppositely charged parallel plates placed a fixed distance apart. Th.vc/ ay,rbv doq y4jl .1zy,-we 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 electrical and 4p4 nacw vqse,kg4x(3b9 ,rdw8p(jmngravitational forces on one another. To the nearest order of magnitude, what mass must the object have to be so xbq 9c4pnpe3s8wwr(avkn,j,m 4 4 d(gthat the net force acting on it is zero?

  Equipotential lines representing the coracytkgisnv6xwm . *; qg;f,*zx k.e*( responding potentials are shown in the diagram, q ,f y*g6a xsk.izn mkew;v.*gx;(tc*in an electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges + i+sxy2l v*7v9g4go zgql)rvh1xt2 t$q_1$​ 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 rect qvh52a+zqvmv)hvy 47angle. Which arrow represe24v7) va z vhvq+mhy5qnts the net electric field at the center of the rectangle?

  Four identical negatively charged objects -5w.i y 1z5j2njzyvipmove in an electric field along paths shown as arrows below. Equipotential lines for tnp5jziz vwi .1-j5y2y he 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 d and/wlb.zj rg*m6- d t6jr connected to a battery of potential difference V as shown in the diagram. A proton relej-.r /zdgw* lr6m jbt6ased 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 p1txo7-w / :dkdvci j9magnitude 2C and 8C respectively are placed 9cm apart. A third charge is introduced between the two charges as shown bo-pc jd71 tvx9wk :id/elow;


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

  The diagram shows equipotential lin m)ohde-7yi 353yec ec5do i*wes 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 compbu4z,.0xo(k). luolqja a 7wo ared to the distanceuw)u7lob.k,4aza.(ojoq0lx R.



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

  Estimate the speed of an alpha pad ua.; sryu1 .1)qmgoprticle that has accelerated from rest in a uniform electric fia1.su gd1p)ur;q.y o meld E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variatic,. ytpcg (o4don of the total electric potential due to two point electric chargeopdcc(g., 4 yts $q_1$​ 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 j:b0:mip862a7kgs jg pnpu m znc 544fcharge as a function the distance r from its ce0kp:7ijggab 4um8pcf6p n24j n s: mz5nter.

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 charg0 2 k y0xfsosm2mx,-u0pewgs8e of +3.2μC. Point A is used to describe a location 20pm ss-osmugx22 f8e xk,0w0y0cm 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 distanc-2;e+r o1,v* lm9nggf rn buvte 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 coro/ 5x6s xrxx)j7t/jbbners of a square. Charges of +2Q and −Q, and unknown charges A and B are locatedxs/5xj)6rtx bx 7bo /j 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?