The work done on a b, o3yrqo o6pk ,/mq.z6a2aoiketa-minus particle when moving it from Y to X is found to be −10eV. Equipotential lines a2ipka6o,36y/kqo.qzm o, oar re 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 -)olp+xhy(h 85wcvqzbetween two parallel plates separated by a distance of 5cm. The potential differenp wolx5 )-zh(v+cy8q hce between the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamental forces i y1kkhh1tw- f bw:z7a5n decreasing order okyb1t f:h1hw75kawz-f strength?

  A beam of electrons enters a unify7r1 rlr6uo0l4/ qgzzorm 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 unio9 qbx r4d2 rv+ysv3m7form vertical electric field, represented by the arrows. Which of the paths showndo qm+vy x9 73bsrvr24 would require the largest work to be done on the hydrogen nucleus?

  Two charges, separated by;; g ug7fz dbvd33yn*x5zufm( a large distance, are shown below, along with the electric field lines 7z5db g;u nvxff3m( ;*z3gdyu 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 magn7o) *7hm2ewceb/ytuy itude are located on the same horizontal 7)2mwueotb yey*7h /cline.

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 positiv,ely/qygrtsd0 p.,8,/ q zjeve charge is bent into a quarter-circle. What is the direction of the electd0 q pget ,q/,y./ylv, szj8erric field at point P?

  A non-conducting sphere with3ad8uhfcr96p sh4/ z;sz4uii radius R carries a uniformly distributed positive charge with charge per unit volume ρ.Point P is at a distance r from the center of thiu8z;s69/pad s34rzf 4iuhhce 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:r wnzyquws6i:7 p-8)3jpass beyzr s:a qwppsw:8j us-3i76n ) represented 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 s:v/s ec3hq0hcih l: *1ci v0lfield represented by the equipotential lines shown biecsc0:ill * q0 /13svv: hhchy the lines in the diagram. The 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 electbmwj(+ my3wfn -lcf20ron assumed to be orbiting the nucleus in the first energy level with a sp0 wn+fl2f y3j(wcm-b meed 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/hio3ikvb/ y2 shown in the diagram. Some of the electric field lines due to the charges are show3 /yv2/ibk oihn 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 reu,x)x se n*mu;presents how the electric field and the electric potential due to a hollow conducting sphere vary with distance from the center? The origin of the graph represents the ce;xmx,ue u)sn* nter of the sphere.

  Which of the following is equivalent to the unit of electric potentialpy1n0hrz-zd7zpx u* 1 difference? pz n17hp1zr*ud0-xyz

  Two point charges of −4.0μC and 88.0μC are ,ywa.ie) vnlbz+g/xse,4ey :separated by a distance r=2.0cm as shown in the diagram),, vyny wgxle:ez +.ei/sab4

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 potkv uv1*,) gvtci;rg6rential 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 equipotentia vx)cp/;uupxvv2m 2. )yfp0xal lines are represented in the diagram p xvx2/fu2 )vpcvx mpy;u)0 .ashown.
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 o5 0cn cn9uwsy7khig:1u y/1t fain -8wf 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 z49oq; g,lw fbfixed 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 mediumlnr/2 .vt k:kar zj;6h with permittivity ϵ. The charges are then moved to air so thv 2j/:tkn6 l.kaz;hrrat 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 oc ryf gh0o,*-parallel plat 0c-hyr*f,o goes placed a fixed distance apart. The 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 and grm w)ofbqw;;etdb kf).t 115ayavitational forces on one another. To the nearest order of magnitude, what mass must the objefwmb5 q.;1) ;)1aokyfdtwte bct have to be so that the net force acting on it is zero?

  Equipotential lines representing j8prijj,apc0w eifq y v8i,p)2+ :1 nfthe corresponding potentials are shown in the diagram, in an epi:j,a2) ey8riqcwnv0 1f i,jp+jp8f lectric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges :;qbn 5ma6suk tm b-o0$q_1$​ 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 ryrylci oa.nhw6srtq(x d p;891)25rrectangle. Which arrow represents the net electric field at the center of the rectacq)y2irxn 16 lwr r;d9rt h5o y.p8sa(ngle?

  Four identical negatively charged objects move in an electric field along p3w cr9b.9 re )c9 pza1wzzk(dbaths shown as arrows below. Equipotential lines for the field are shown. Initially, all four objects have zw)cdr19zrp a.3eb9 bwz (ck9the 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 connectec-m1-vn q) q02bkjqqe d to a battery of potential difference V as shown in the diagram. A protbvk0 j) nq1-qe-mqcq 2on 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 respectively are placed d:wmo bp3fgor)n; f.c75x+p n9cm apart. A third charge is introduced between the two charges as shown be;rb p+mx5fngoo ):nc.pdfw7 3low;


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

  The diagram shows equipotejk0 1(q1z/w ;q uawebontial 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 thoqhm n :6)jbp-e charges is small compared to the distanc:)-hnmpqoj b6e R.



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

  Estimate the speed of an alpha particle that has accelyqlz25t*y8 n 7so-zxfw x7 v3 9bpj;ckerated from rest in a uniformp yc87kwx l3xv 2q;t*b9-onjzsz7y5f electric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric -;-nr b g2uo14xbwt hypotential due to two point electriu-2r-gbhtn1xwb4yo ; c 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 cc1jod1 9x3r,bss7 h 9+yusqvfharge as a fun91scvhy3 7fosqu 9xd,rb+s1j ction the 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 ch5pd9ech7uti3 pfox p8 1vy g+ga+6g7xarge of +3.2μC. Point A is used to describe ao7 tpdxuy5p ivgg39+8c7 f+pe16hg xa 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 b o1g; )a p 1v-l8nx(zs++ yomoeexlxd*y 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 on the corners of a squo6titae;v0iohr 6b 88c312bf ryv w1eare. Charges of +2Q and −Q, and unknown charges A and B are located as shown on e 38hrwovrto 6i1yb2b a1c6vf0e;8 i tthe 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?