The work done on a beta-minus particle when mov4kbt) l7jsw /ming it from Y to X is found to be −10eV. Equi 7js)k4/mlt wbpotential 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 between two parallelk/ ug7cj+b6fy)ln +;u k j,sq.1qmemk plates separated by a distance of 5cm. The potential difference between thely /qfk1) s6m.qj g je c+mk7un;+buk, points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fh1qrgx ,x;/ h07qip fcundamental forces in decreasing order of strx cf1gqrpi;hqh, 0x/7ength?

  A beam of electrons enters a unifosfbvpkw6v6 pfx68 ;6 arm 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 unif(aeaa9 kif.p43wr c9korm vertical electric field, represented by the arrows. Which of the paths shown would require thar. 4(e3ck 9a9kiw afpe largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distance, ar42g o -o p*qhy.t02k,lcln+er sdcc)ke shown below, along with the electrg42 k qcd,s2olt cp0+rey ckn.l o*-)hic field 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 chaqb2c d; rr9*xrs49n6rhymqt. rge of equal magnitude are located on the same horizontal .;r*trrhqcrxs 692n4yb9 mdqline.

What is the direction of the net electric field at the point marked X, equidistant from the two charges?

  A plastic rod carrying a uniformlsc muat4* e9kc ch.moz;9e2f 2 mfpk00y distributed positive charge is bent into a quarter-circle. What is the direction of the elc a;mk 9koecm4s09 .ztuc0 f*2fmeh2pectric field at point P?

  A non-conducting sphere with radius R carries a uniformly distribu. zcjy q7g3 d rhql9t 9z*j/tw1gwjp3:ted positive charge with charge per unit volume ρ.Point P is at a distance r from the center of the spdtj1/ z.h37zq9gj t* :g3 wpr9lqjwychere.


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 may a6w u9gh 6d(p5ksz. micob:njc c4.k/be represch56 /c adgs6..jin :ucb k(4zpkwmo9ented 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 a082r4b cyj*m bbv2 b:1dz*rg-sxkxw the equipotential lines shown by the lines in the diagram. The electron’s path is shown xa-bmw bbrd20vb*gjr2y zs1 :k 84*xcby 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 nucleuubhkk, 7 a(q5evko(o +s in the fkqkb v,7ao+ hou5e( (kirst 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 sh*)tep x y7.m0*ophigrgo3nh:m0 7tds*qlx u . own in the diagram. Some of the electric field lines due to the charges are shown on the diagram.pm7lq*xio e 0x* ud7 :3.pr0mgntho tyhs* g). 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 reprbg4, ,er bi1- zg9xvftesents how the electric field and the electric potential due to a hollow conducting sphere ,t 9 41bvz i-xrgg,befvary with distance from the center? The origin of the graph represents the center of the sphere.

  Which of the following is equivalent to the unit of ee eqbfxt tt pk;e,1f;fq// up*m0n 14;bo4moa lectric potential difference?p1b*tua ne/x 4o fmefek4 ;q0m tq1;ptofb;,/

  Two point charges of −4.0μC and 88.0μC are separated by a distance r=2.0cm as ebix2ul(4 xy/( wzuf*shownxyu i *(l(uf /b4wzxe2 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 en69ag ,wlh0c mmergy.
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 lines are represent kof.v/9ns:8a lo m1,ph yna1bed in the diagram shown.pn/f:ya8, ans 1m h. 91kovolb
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 twoujfel9 m j.6y*ktx75q po2 f/ :6hncpo 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 fixenc)g o r:p653zu 4cefcd 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 *j o( +xzl2wsfdistance r are placed in a medium with permittivity ϵ. The charges are then moved to air so that they have the sam*(wjl o2zfs+xe 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 relea vxnzyh5s :v7wlcta+s68iz,s2 6dun:sed from the negative plate of two oppositely charged parallel plates placed a fixed distance apart. The lyvuzs5v si xannt:cd7s+6 ,28whz:6 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 a ,pc uuv60d9xl4*yv*-wgdx l3i p4oypnd gravitational forces on one another. To the nearesow6 3pviv0y u ,9pdpx xy l*lg4-u*c4dt order of magnitude, what mass must the object have to be so that the net force acting on it is zero?

  Equipotential lines representing the corresponding potentials are shown2qpn6u7l3l w7ikoxy7u -*t y/ qa6olx in the diagram, in an elecup 7ilq 7/ul n7a qkyl-6t3wox 62*yxotric field.
Which of the following is a correct statement regarding this electric field?

  Two positive chargesw i,92rmza8a4ng rm.f $q_1$​ 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 b ;yoks*90n erdzl/r-angle. Which arrow reprekze- b*rlr0/o;9ds ny sents the net electric field at the center of the rectangle?

  Four identical negatively08 )dv5oh4fg6qad bxd charged objects move in an electric field along paths shown as arrows bd5 bd )gd6v0fqhxo 48aelow. 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 d and connected to a batto+x epui)vu 2,3x lm; mff4i0sery of potential difference V as shown in the diagram. A proton rel o2u,p3u4ms+) eflifxv m i;0xeased 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 mq4s 1q,frb 1ojagnitude 2C and 8C respectively are placed 9cm apart. A third charg,j1q 1sbo4 rqfe 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 equipotential lines due to a poin00dmbau.a fxuwi6ty 0k, 1+qr t 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 o)fpsf3msexj)*5ode t3ig35 v f the charges is small compared to the distavo dfp) x33t5)* sesmj5f eg3ince R.



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

  Estimate the speed of an alpha particle that hasxdpbz;.dl7hka bb- ( u/ rds25 accelerated from rest in a uniform electric field E=5-2/xsdkd5 bp7rl; (z.auhdbb0 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potential due tbweqfpo ;)gj, *+fj86q3 y)mw/mfe u oo two point electric charge q),wo8y peue3q*wmbfo )j+/j gfm ;6fs $q_1$​ 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 varze n ofpf* p 2)ng:mc5j1v;. e1xngrr.iation of the electric potential due to a point charge as a function the distance r from i e erm*)pnz 1o2f5:1xpng n.j .;cgvrfts 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 chary 8l /t2jl ;qt.*fmpr:+hro lxge of +3.2μC. Point A is used to describe a location 20rftj oh mry x+tp ;*:ql/.l2l8cm 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 8qxmp8np+o .;y2aadso8 e2 .mszd. feby 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 shown on8m53muqqmf2 ,k to5e hl8hwr)yfj;i * the corners of a square. Charges of +2Q and −Q, and unknown charges A and B are located as shown on the diae luy* ) qtfm,hoq ji8 285m5k3hmr;wfgram.

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?