The work done on a beta-minus particle when moving it from Y to X is found d.7ay,s0+it c( . 4tc: q2 qqsembbb97e nycnrto be −10eV. Equipotential lines are e7 s+ qnn( 4. .acqm2ytcdeyc709 , t:rqibsbbrepresented 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 by lsez0g,u2jnbv ts 4*zdb 58k; a distance of 5cm. The potenti4 *z;5 v sjgsze d8,nk0ublt2bal difference between the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamental fobgkzlw1+3q 4 u:ceh;0 x m;ymqq.l7r9zaup c+ rces in decreasing order of strz4qgq01r+ mcqm;l:a x + 9h 37 be;wklu.czyupength?

  A beam of electrons enters a uniform elej .g irtp40,vtctric 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 *l9 jdpxt6 pt:electric field, represented by the arrows. Which of the paths shown woj:pt* 9lxdp t6uld require the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distance, are shown below, alon0l -o;b d3dxsrg with the electric field lines around each charged0 d3 ;x-olrsb.

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 chargei c;nnyw1d7u9 of equal magnitude are located on the same horiwnd i;1y uc97nzontal 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 distributed positive charge is bent into a pu;i6ih nyx;mn+ z(h e ;.(xmzquarter-circi;eu;(.x+nni;xhym zz(p m h 6le. What is the direction of the electric field at point P?

  A non-conducting sphere with radius R carries e7s6k+ wu/npaa uniformly distributed positive charge with charge per unit volume ρ.Point P is at a distance r from thew /7eka su+np6 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 z b)+v.(qj/faj c0pbh in a field due to A and B. What may be represented by A bbaj )+(j/pz cq.f0vh 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 eleckjm*j-qx p6 )ctric field represented by the equipotential lines shown by the lines in the diagram. Th* 6cpxm-jjqk )e electron’s path 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 the nucle ,i4( so;pgzqsus in the first enersg;p sqo,i( 4zgy 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 chargesqutm+p0uy 6 4m rbm+)8 h9fdzd 2Q and Q are located as shown in the diagram. Some of the electric field lines due to the charges are shownb umfy6m q um+4h8pdrd+)tz09 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 pa:i h0piq -jy3n kk7jn/irs of graphs represents how the electric field and the electric poten-7q0j3 i: yknjh/kipntial 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 equivalent to the unit of electricw v/ i z,znx;r;l9q3l7up7z he potential difference?vp ,h;w eru7lni z7x;qz39lz /

  Two point charges of −4.0μC and4 rl-tce3;r)3taahtoq ,8g bt 88.0μC are separated by a distance r=2.0cm as shown in the diagra e843r q;ratc,) 3tato lh-btgm

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 enerfn4vk2owu2k dpzh 1f6+a(l 29p )ki*rc0iyuygy.
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 l9 atrl7 w .iy.6bknzw( d/o1;;shmdoyn)+lj are represented in the diagram 1+y;o6mlstzbr.lhank 9)ww d7.d lj;y(no/ i 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 equipotential sujr x dtt1as)01b mkw.0rfaces 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 held at a fixekbd 6f79cdn1 yzd(s 9ud 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 hx,wnwd0 5d,4i 6,qlkcrfx w-with permittivity ϵ. The charges a6 wkr,-wi xq hldc,f5dx4wn,0re 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 plated3 r3j,29jcaigwo* a c of two oppositely charged parallel plates placed a fixed distance apart. The potential difference between the two plates is V, and the 3wdgi,jj3ao9r c*a 2celectron 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 ptk9(. oyq v+jexert 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 force actinp.ojk vyq( t+9g on it is zero?

  Equipotential lines representing the corresponding p);ie8p/ 0u-by,a eg c3purc npotentials are shown in the diagram, iae/)bn 0 ipyu-u,83rg;ppec cn an electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive chargeswy/6xrb.sne*cne5 y) $q_1$​ 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 particle/o):i. to sqvls are at the vertices of a rectangle. Which arrow represents the net electric field at the center of the rectans/ :.)qoivlotgle?

  Four identical negatively charged objects move in an electric field along p) rd:q/ hcjomyan*;xwop: +i-aths shown as arrows below. Equipot:q;o+xn/:cwdpmr-)o jya * ihential 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 battery ,l,u,f3l * lgcc3 tjaiof potential difference V as shown in the diagram. A proton released fro,j,g3*,uc flic3l t alm 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 respectively are pyp g)z im13w1klaced 9cm apart. A third charge is introduced between tgzpw11)y3 kimhe two charges as shown below;


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

  The diagram shows equipotentia1 zse63ps)kpe fi9co/sr1b7wl 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 th,*gcl :;nmnyo;ty0 g ie charges is small compared to the distance R. gni;mlo :*c,tyg y0 n;



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

  Estimate the speed of an alpha partiok(++v 6kkqbocle that has accelerated from rest in a uniform electric fio6o(+bk v+kq keld E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potential duerwxfa9h) t*nh51 zempu8o a4b (.h, dp to two point eo1 b re (xd w5uazhm.,9pn4t8)p*fahhlectric 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 potentifmz/m d i-pd3f9-7,vj ,1umpxkj :e zwal due to a point charge as a function the distani:f- -udj7zvmx m,ef1 wpjk,9pzd3 m/ ce 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 chartg g xo2:e-mu0,(0:tyxu 4/ pcsy dsoege of +3.2μC. Point A is used to 0m4:ux( gxo/tpcet2ysge o 0yu:- , sddescribe a 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 distancrv;jnefzzvgprd.:nj 2v945 .*w jk c/e 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 pb+n2 /;a8h ,avvi43uup p,n+xocxf rplaced as shown on the corners of a square. Charges of +2Q and −h c,2+p v3pafv8ainxou,b;urn +p4/x Q, 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?