The work done on a beta-minus parti7(zo zg/tcradw7awb0j mmm u, o+0l/6cle when moving it from Y to X is found to be −10eV. Equipotential lines are remc6zot7 r,0u/7( lzwj+m 0aw/m daobgpresented 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 paralle +7 tbno3auc /iit5nfux*od 4zc;g 0n1l plates separated by a distance of 5cm. The potential difference between the points is 50oi/n a0c zg uc3*uf7;b ott1ndi5n+x4V.
What is the average electric field E?

  Which of the following corv-nj*p1wid 4 grectly lists the fundamental forces in decreasing order of stren*wpj1dv g4n-igth?

  A beam of electrons enters a uniform electric field, as shown. 99q9m+iu7,j 0bhuhhc o1k*tmr lkb5n mg(n3 x



What effect does this field have on the horizontal and vertical components of the electrons' velocity?

  A hydrogen nucleus is hh*s)v vblvc* cmc(t;.eld stationary in a uniform vertical electric field, represented by the arrows. Which of the paths shown would require the largest work to be done on the hydrogen nl(c* m vc.bsv ch)t*v;ucleus?

  Two charges, separated by a large distance, are shown below, along w/vke- z v66 /mn,x0sd8bybhcmz4a2s aith the electric c2 s6 n-vsxdhbe04z ya m8k/mbaz v,/6field 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 ofzukeb f/18/n+fy;jnh z 9fve6(et( db equal magnitude are located on the same horizontal line.6 /enthn;(fby +fdz(bz9e1k 8 jv ef/u

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 c: c3uu,dj4zs t y90v8 ,pqqrbcharge is bent into a quarter-circle. What is the ucquc4trj ysd3 p08 qb,v:9z,direction of the electric field at point P?

  A non-conducting sphere with radius R carries a uniforxj8zf02* +1j pjqety vmly distributed positive charge witq j0fv+8y jzx1*tjpe 2h 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 o1m..,1qh9o5mnovjkaq+(t v-c etsxequipotential lines in a field due to A and B. What may be represented by A and B.st1 .eq9n mkovhq+j1ctv,oxa( -5 mo?

I. 2 equal masses.
II. 2 equal charges of the same sign.
III. 2 equal charges of opposite sign

  An electron enters an electdn8gf /ny px(:ric field represented by the equipotential lines shown by the lines in the diagram. The electron’s path is shown by the dotted li( n:fp8gx yn/dne.

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 orbitwkoib -zj/;k)sa us8a wrr251 xm0 l+ming the nucleus in the first energy levsb5a)ja-io wk/8xkm rurwsml;1z2 +0 el 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 lo(qx t0)w:mby mcated as shown in the diagram. Some of the electric field lines due to the b0m)y:wxtq(m charges are shown on 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 represents how the electric field ar+uu+4-4 a8jhpj7b1xb ppulp nd the electric potential pau7+j81lu4hp j 4up +-bxbrp due to a hollow conducting sphere vary with distance from the center? The origin of the graph represents the center of the sphere.

  Which of the following is equival ,lp5z yqrknb;vm.81hv 3uu5qent to the unit of electric potential difference?um5kvvr u;h 5318bnlz,y q .pq

  Two point charges of −4.0μC and 88.0μC are separatp+sbl tx sp3ob0gzvku0-(z7 )ed by a distance r=2.0cm as shown in the diagrap zpgs(7sob 0k)-u+x b lt0vz3m

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 energe ax2wx., mb2n,gixv/q j, ;wny.
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 equipotez5s tmsrwk48 :ntial lines are represented in the diagratm szr54 swk8:m 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 equipoij i):y0r fej j)*cv.jtential 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 charh.kn.:-q wv u,y tpg*hge 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 ϵ/.ja8 j bf q,ge9 gju.ds*0mwz. The charges are then moved to air so that they h8mfs9qze0g/jb,jj a* u..d wgave 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 li4w h 4n.fvgx.5s mq1of two oppositely charged parallel plates placed a fixed distance apart. The potential difference between the two plates is V, and the electron reaches tx hmnvfqglw i.41 s.54he 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 os5lt.obsatvt2u + uts6 . 3d,object 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 the net to aus62 t. s3,v+uoslbdt.5tforce acting on it is zero?

  Equipotential lines representing the corresponding potentd4 y+mlo8zgk.ials are shown in the diagram, in an electric fieldzk8.l gyo md+4.
Which of the following is a correct statement regarding this electric field?

  Two positive charges j13cchzg:r oo10h+ s z$q_1$​ 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 pointeo0vc)v-.ul1x c bx 6i particles are at the vertices of a rectangle. Which arrow represents the net electricv0b6i1 -xe vc.ux) olc field at the center of the rectangle?

  Four identical negatively charged objects move in an electric fi a+kbu2j+ynr5 eld along paths shown as arrows below. Equipotential lines for the field are shown. Initially, all four objects have the same kinetic ener a+5u+k2nyj brgy.

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 a2,.0hwuh7lvyw:ilfk wu+a z/ battery of potential difference V as shown in the diagram. A proton released from the positive plate ww,h7ul :h fv0ulz.y k+ia2/ wgains 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 respecti; p hrqive3)fe09vqz :vely are placed 9cm apart. A third charge isie)z pfv3;: rhqe09qv 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 point charsgcznjl-/;dlm9wr2 7*p mg(f ge.
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 smaz 5dx eg o*xqe8n5 9pgt-smq/6ll compared to the distance R.mxn5/t8gqed95z *qpxso- e6g



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

  Estimate the speed of an alpha particle that has accelerated from rest7kp+bvs4t i9u in a uniform electric fielu9pkvbist7+ 4 d E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potential due to two po6qaev.+ ,a a1shozxu )int el q as1ahux ev)zo,6+a.ectric 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 po2 3rlmeny 1c*dequ5pep u1/2 jtential due to a point charge as a function the distance r from its cente 2ujplr5 mq/ecey11 d3n2e*upr.

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 on o5nlx-j/ te1jvj t,,f +3.2μC. Point A is used to describe a location 20cm from the surface o,vj tt,/onxje ln 5j-1f 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 asg oe70n 9 vj+olarj69 k4i/yueby1yx4 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 p q+r 0: xd,6il.surjxke4jmu 1laced as shown on the corners of a square. Charges of +2Q and −Qu:+xkrrm d.u x,64lj0eqij s1 , and unknown 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?