The work done on a beta-minus particle when meufj8o84htw +,fhg 0ioving it from Y to X is found to be −10eV. Equipotential lines are represented by the dashed lines in t+hwe,f0jo f4t ig 8u8hhe 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 by a +knq 6obn+jp boa 6+ 0k.xy,hedistance of 5cm. The potn +b +.e n66hya0j oobqxpkk+,ential difference between the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamental forc/fdd/ /oc1:qu:x9p6u jctzdye .ajg 6es in decreasing order of :cdyzc 6j 1/:6uj/ aqfu.edx/ td9pogstrength?

  A beam of electrons en us6xlsia42v4ters 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 a uniform vertical elec.kioh 7np88k btric field, represented by the arrows. Which of the paths shown would require the largest work to be done on the hydrk 8hb. 7inp8koogen nucleus?

  Two charges, separated by a large dis/. ;xdgdp7)plgqscvdst:30sg l5g2f tance, are shown below, along with the electric fi0psp:gssl 5 xg dqf3lv g2;dgc)/t7d.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 charge of equal magnitude ar;erl5vpn*7 tocp; of (e located on the same horizontepn ;fplo*;o c5(t7rval 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 distribu tmexr)t;oo* vd,9q (mted positive charge is bent into a quarter-circmerooq,(xv m)d;tt*9 le. What is the direction of the electric field at point P?

  A non-conducting sphere with radius R carriespuga /0u, 5k3b u(aqak a uniformly distributed positive charge with charge per unit volume ρ.Point P is at a distance r from q u,gpa/k0bk ( 35uauathe 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 equipoi1vj(,lk c g hv+lp-k)ennr+*tential lines in a field due to A and B. What may be repr,vr v)k j1llnc+ +p*n- hke(giesented 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 e5/btxhfubr4 h14 h4k by the equipotential lines shown by the lines in the diagram. The electron’s path is shown bytkx4h 5eh 4fu 41br/bh 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 orbiting the hta34cu x)yq1 nucleus in the first energy level with1u ctq)3hx4 ya 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 t4*7xmid0fm 5daerofho +89land Q are located 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 points as located *ffrd4md0 8t5oh xoma+7lie 9on 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 o/tofq o th se r56a037uy6sv8if graphs represents how the electric field and the electric potential due to a hollow conducting sphere vary with distance from the center? The origiy 7sqouf6tv 86/o 5te03arshi n of the graph represents the center of the sphere.

  Which of the following is equivalent to the unit of electric pote nf7 2.dlc8pkhow2;zsntial differencecpzs2n 2hw;dfl8 ko .7?

  Two point charges of −4.0μC and 88.0μC are u wrx +ux.1pcm* i/qc7separated by a distance r=2.0cm as shu cr p*ix1qwcum.+ x/7own 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 potezor-awyy w3 p:7f)wtn;ts (w7ntial 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 onc o axg 7r0o*uup.vh /su7cj87 equipotential lines are represented in the diagram show8 v0 . chg7ax/77*uououpjsrcn.
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 th yvm 23be-5 mdy00 tp-jyzc)pte equipotential 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 hen7 d 4cu*h7obm/ujf *hld 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 medi5bh38sy0o f(9(cdanc 3pyqha um with permittivity ϵ. The charges ara5 cp0qyc3bhs3f 8d((9o aynhe 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 charged vze,rz g+(,.hzjfo u 3;v1vz3qeal9x parallel plates placed a fixed distance apart. The potential difference between the two plates is V, and the electron reaches the positive plate with.r 3vv3(q v+hozj ;uz9g zelz1fa,, xe 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 exerzqiy ; d(7k(r-h :yo6fakou5yt electrical and gravitational forces on one another. To they i7qh(o(ydkf6a;ou5 :kz-y r nearest order of magnitude, what mass must the object have to be so that the net force acting on it is zero?

  Equipotential lines rep;i)qy1* ; vnv nyxzbt6resenting the corresponding potentials are shown in the diagrayi6v1 bvz;;nx )n*qytm, in an electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges oee *z/n*r2kedd(xx 1-nmxb 3$q_1$​ 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 such8 6cmuv1-bms -6lare at the vertices of a rectangle. Which arrow represents the net electric field at thhmvucc668l1ms -s-bue center of the rectangle?

  Four identical negatively charged objects move in an electric3s9p.h nrh s1q+h2h9g 9sxndc field along paths shown as arrows below. Equipotential lines for the field are shown. Initially, all four objects have thepg nh 912+ rhh sq9h.sc39snxd same kinetic energy.

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

  Two parallel plates a-0aef zf4ftt h/-t/x9mx 3utr re separated by a distance d and connected to a battery of potential difference V as shown in x-h4e mttt-f / fu9xat3f0/rz 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 re;;jx po6o9 )juzlxkn +spectively are placed 9cm apart. A third charg ;9po+jxo )z n;j6lukxe is introduced 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 equipotjsj w3t 0-xa)kential 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 is small compared to the distm *yh 0zu:9c f2fn9dic,u k.9hk: jtzuanm9*2zcjzt 0 fk ufh9,u.hn icd kyu::9ce R.



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

  Estimate the speed of an alpha particle ;d1/k:gpozuyiql3.bo/q s-c that has accelerated from rest in a uniform electric field E=50 q/;.1uoz3io:pdk -b slcyqg /$^{−1}$ over a distance of 2.0m.

  The graph shows the variationod d2 empt pk0-61bc-r of the total electric potential due to two point electr dp01 6dr-2t -pocmekbic 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 jwiz bey*0 r 8-zc,u8nvariation of the electric potential due to a point charge as a function the distance r from its *-ci8,y 0bz uzw8ejn rcenter.

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. Poi1 ;s4 xhrsrlj/ eflphog;-v65nt A is used to describe a location 20cl s1o jve;p-h 6hx 5/4;lsrfrgm 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 sf5 . +ynb9n x6(boeoeceparated by a distance 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 sho4m-v9b 4aa-x;.wzbb)fdeme (mya l 4pwn on the corners of a square. Charges of +2Q and −Q, and unknown charges A and B are located aa)-plvx4adew ma; b4 e4( y-.bfz9m bms 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?