The work done on a beta-minus particle when moving it from Y to X is found t /0bo9 8rekpkznu2(qz 5dcpy1o be −10eV. Equipotential lines are repres9p/pc1(z508yz2uk db knqoreented 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 parallel plates separated unf31)5g pb mq xr8kt;9i2mjaby a distance of 5cm. The potential difference betw; n 3kp)q28rat jigb91mmu xf5een the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the ub9 , (*idqkbc;ut)ei fundamental forces in decreasing order of strength,9*ieqtb( uuid; c)kb ?

  A beam of electrons enters a ,b (+a8gsbm 4wn fk:av8fh pu-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 a uniform vertical electqh .8 b7a.osxip:ixq. ric field, represented7p aih xiq o.sb.xq.8: by the arrows. Which of the paths shown would require the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distance, are shown below, alof8w: 8gbiqt1yn2v :tp ng with the electric field lines arougpv q: ft:81tnyib28w nd 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 5)ek6 k7c4lh zxs49fu fsf7uulocated on the same horizontal 4uxl7kceuf4hzfk)u9s7 6s 5 fline.

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 charge is bent into a g t ohh+9;ic 15ozo0ytw8l0agquarter-circle. What is the dzo o t15 tl;i80yg+ c9goawh0hirection of the electric field at point P?

  A non-conducting sphere with radius R carries a uniformly distribej/:;rc i3ebwuted positive charge wir j;e:we3/bc 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 equipotenti 3ebz6qt jfx77al lines in a field due to A and B. What may be representetz76b7 3e jqfxd 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 ,aky5 :oh*tme field represented by the equipotential lines shown by the lines in the diagram. The electron’s path is eh o:m*ayt,k5shown 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 w 3fde+z cnxei2i xys4-pb.1 :jith an electron assumed to be orbiting the nucleus in t: f ji31xeed+s2 p.-cnxb4i yzhe first 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 )p :6fb7w. gyk6w vvghdiagram. Some of the electric field lines due to the charges are shown on the diagram. Points P and S are two points as locate 7k v6gfgvyb w).6h:wpd 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 7*ua89el ceva how the electric field and the electric potential due to a hollow conducting sphere vary with distance from the center? The origin of the graph represents the center 7a*e c vlue9a8of the sphere.

  Which of the following is equivalent to the unit of electri (cd*7t9(fgpfgw1vaym 8vj)rofa x4 5c potential differencey(v8fr741 a5gjf*g) xfvo(w9md acpt?

  Two point charges of −4.0μC and 88.0μC are separated by a distance r=2 ndj;lf/8 c)xhb) 7a:xw/fioc.0cm as shown in the diagram8a/c/ixfl )x)fd b ;7:onhcwj

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 potentikil3 -e8obwj57ycw * u ,hape.al 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 equipotentiaf:haqfn: l+y;n8 haru( 6owa 8s2u7yul lines are represented in the diagram shown. na h rlsu q;8+a u:6wfnyf8y(:uao7 h2
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 twom4c v3 plyi24z 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 gjrbenmp 3)u ,1 ,2dclat 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 ; 9vnkha,ev /fm,i9afare placed in a medium with permittivity ϵ. Ta,h;v9evafn k,9 m/f ihe charges 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 negative plate of two oppositely chargedvti v +9/wqq(udm 3,kz parallel plates placed a fixed distance apart. The potential differenq+ (vmtdz3ku9 ,w iqv/ce 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 gravitat .:akh3 rqziexo :)bn+ional forces on one another. To the nearest order of magnitude, what mass must the o xq)ni h+ a3:.ezkr:obbject have to be so that the net force acting on it is zero?

  Equipotential lines representing thelu:j.x6x flx98fft,efk;ub e 9sz **a f:ul1 x corresponding potentials are shown in the diagram, in an fke19f6 fl.f l98tlu; ju:b z*x*f xuxa:xes, electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges l5c6:rcy -m vm r1a/j;d h;n9je /knpu$q_1$​ 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 v p n4vi9 n1rwfgx-63reertices of a rectangle. Which arrow represents the net electric field at the cer3ni9n6 wf4v -1gpexrnter of the rectangle?

  Four identical negatively charged objects move in an electric,)*mhzqo1ygiuz+ il 1 field along paths shown as arrows below. Equipotential lines for the field are shown. Initially, all four objects have the same kinet,z uhz1qlyoigmi 1+ )*ic energy.

What is the relationship between the kinetic energies of the objects at the end of their paths?

  Two parallel plates are separated by a8fbsjc xsry92ku6i **t0; im qvz)/fm distance d and connected to a battery of potential diffrj0 )8s9qmbtf; uzv 2yi/mx i*6c*fs kerence 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 2C and 8C respectiv7i7l.w qgtjm f1r 3yv(ely are placed 9cm apart. A third charge is introduced between the two charges as shown7q( v1t 3i7rlgw.fjy m below;


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

  The diagram shows equipotujgan 0wyze-a9s+7 yd3 z1 1ptential 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, 75lxd;igh, tmr ijt -8fl ki7sbv326tthe size of the charges is small compared to the distancebmjr3tg vskl7d 78t6li5f -2xii h; t, R.



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

  Estimate the speed of an alpha particle that has accelerated from rest in a unn8s p m8u**m-ajedk)uylz x/(iform electric field E=50 -dy 8m mzpalxn* u/s()ujk*8e$^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electrh2 vw.n 79+1k ql wurm7kmy oosf40o5tl e9ej7ic potential due to two point eleumnv q ojew1529oh90or7+. 7 t ywelfkslm 47kctric 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 electrz* j4v3xc,auq ic potential due to a point charge as a function the distance r from its cen*xu4qa jzcv,3ter.

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 cha4.vkjpae 6 lkjq/)e1y0a cbwss 5fk62rge of +3.2μC. Point A is used to describe a)kl 6pw6 1cbsj2a5ves .0fq4yjk/kea 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 as sp*1 we6nq9un jhown.

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 ev21wk.r6p s.i.y)v6 x xvdwb square. Charges of +2Q and −Q, and unknow6b .dsw2ipwxr1vv.k xv.y 6)en 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?