The work done on a beta-minus particle when moving it from Y to X is fo uf; gm7x0zlec(; bu5jund to be −10eV. Equipotential lines are represented by the dashed lines mz u f (70;jb;xucg5lein 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 by a distah+w czj0sjo pgwp63:;nce of 5cm. The potwzhp ;3: sgwjocp+0 j6ential difference between the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamental forces in d:ntrve 4trq2eprt- j.r3/ mi+ imh -6lecreasing order of it pqr-:h-2+ ilmjen4.v3 r/rer6mttstrength?

  A beam of electrons enters a uniforxn w;(tgtha3gh,3 z (mm 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 electric fx(*be +gc7zja *t1tx cield, represented by the arrows. Which of the paa*(x b ez*c1jtctx7 +gths shown would require the largest work to be done on the hydrogen nucleus?

  Two charges, separated byk dt.bln--v y1 a large distance, are shown below, along with the electric field lined.1 -kl-t nbyvs 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 jzcn;01,w3q6qjhs+ s pvd y1lmagnitude are located on the same horizontal line. q yvzq;1+ 3dwsj6nc,l sj0ph1

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 chadbm -s2 t-6owarge is bent into a quarter-circle. What is2ma6 odwb-s t- the direction of the electric field at point P?

  A non-conducting sphere grj0431w/ yms7.m z6c ga8x yufomu0vwith radius R carries a uniformly distributed positive charge with charge per uwyaf13czguj/0xm78m4sgy. 6 o0uv m rnit 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 equipotential lines in a field due to A and B. What may j6tt3rn2px7 k be represented by A ap3jtx 2kn67r tnd 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 equipotential li je,+9c.tyqum nes shown by the lines in the diagram. The electron’s pa y.9u,jmqt+ce th is shown 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 orbiting( eb*sa( p7b vvv;m8hx the nucleus in the first enermh7 bv8(a;(bexsvp* v gy 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 diagram. Sor+ / tn+4smozd.x-wrn0z py:bme of the electric field lines due to the charges are shown onnrxbp : oy+t/-mz+n sw0r.dz4 the diagram. 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 repr ;/iioqdx8: kxesents how the electric field and the electric potential due to a hollow conducting sphere vary with distance from the center? The ori8q/di x:o xik;gin of the graph represents the center of the sphere.

  Which of the following is equivalent ts;4qtgb:tt , z4x oby-bjw0e 2o the unit of electric potential differenceqbo2e4t -4,wbgt 0zysbt x;j:?

  Two point charges of −4.0μC and 88.0μC areg/d*o /r ai8bv separated by a distance r=2.0cm as shown 8ard/ v*ogb/ iin 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 potenti*rz;lc; j 1i,v rggkb2 ifp,01au8 okial 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 equipothq hhdmw:.,:7t)d d lkential lines are represented in theh:d:mlq h7)dt k,w.dh diagram shown.
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 eq 9 wozsdnp50r7uipotential 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 (myy14eflf/; ad c a6clo1 9izcharge of 20nC are held 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 medium with permittivity ppuf.wxp +(e2p xvbs 7h;q77hϵ. The charges are then moved to air so bpp xq7v+xhp( ; 7uep. shf27wthat 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 hgmbkg o t0sbb97 3p0)9aj..lh j(aop -q.x uathe negative plate of two oppositely charged parallel plates placed a fixed distance apart. The potential difference between the two plates is V, and t7saapbb.)a qjk0 b9-g0l3mjhx.ohpg(9. uothe 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 o d*m/ggzov8 on+4z/ elbject with charge +e exert electrical and gravitational forces on one another. To the nearest order of magnitude, what mass must the object have to be so that/ovozng*+4ze/ g8 ldm the net force acting on it is zero?

  Equipotential lines representing the corre:wb-w xd9ff6xd nnp ;9sponding potentials are shown in the diagram, in an electric field. fwwnfn9 xpxd ;b:-d 96
Which of the following is a correct statement regarding this electric field?

  Two positive charges 3x8izn9biv 8vy qf/ads2i -3 py;j kz:$q_1$​ 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 rectangle. iywiv ;9j4re(cqzk7/r0ok y fyr3) oh * av:f(Which arrow repr vfjhy3rr (y)(ey9kiof 04vraw/; : qi7ozk*cesents the net electric field at the center of the rectangle?

  Four identical negatively charged ob6b v69 fd.nynny1e m,qjects move in an electric field along paths shown as arrows below. Equipotential lines for the field are shown. Initially, all four objec1vn , eqy9.mbf 6dy6nnts 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 distai95b h 4wvdpi 3x7cvn-5 t;ywince d and connected to a battery of potential difference V as shown in the diagra dc9v-iwn iy xpwt5i3b45 7hv;m. 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 respeq/8vyj)o37 9q z qaav4f7nvoi e.(qmm ctively are placed 9cm apart. A third charge is introduced between the two charges as shown below;v 3fmn9a)vq7.74y8 qo qoaqm(i/ze vj


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

  The diagram shows equipotential lines due to a pobqm/g zv/ d30mint 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 comp+r+nv7 0e d ikp2dq)ddared to the distanc)dp+7+ q dd20riv kndee R.



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

  Estimate the speed of an alpha particle that has accele5zh;, nhwnj5 xp kc 4dju c6;whuc-e-97ni,gvrated from rest in a uniform du54ch-; jgn,w7u, 9wvnn;xchj5e k-c h pi z6electric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potential due to two p,f v .tw71dbr/:ep 1zvkq*aq3h,g vh roint electf h ,t1k1, ve*gqw7/draz3r pvhb.q:v ric 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 due to a point chao*,5pmv2ple arge as a function the, vmpoale*52p distance r from its 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 charge of +3.2 rb1.diq/fq7kbsy)y 5μC. Point A is used to describe a locati1bi q.f/7 b5yrs)dy qkon 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 distanya ff4vcg 5 ( h3in0u(2(nfzogce 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 corner xrcdm+o;bhy/ o/8(y*tl4ye u s of a square. Charges of +2Q and −Q, and unknoy +y/cxh(yo mobel d*8 t;ur/4wn 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?