The work done on a beta-minus particle whenuun1k y. o fcy5e05kc/ moving it from Y to X is found to be −5cy ok5 fuy1.unk0c/e10eV. Equipotential 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 parallel platese/p5c (ijtqxp 2;ijng1yhg7 2 separated by a distance of 5cm. The potential difference beyhi/ jc72q i x2jgpe;n(pt1g5 tween the points is 50V.
What is the average electric field E?

  Which of the following correctlah: h6 rl9b0oty lists the fundamental forces in decreasing order of strength? hl6abr t90:oh

  A beam of electrons enters a uniform electric q3+lhvn;/c17mg s 4dd fwk;sl 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 6; f)vlnt,mi oin a uniform vertical electric field, represented by the arrows. Which of the paths shown would require the largest work to b6n m);l, oiftve done on the hydrogen nucleus?

  Two charges, separated by a large distance, are sd f1t23 .jd3ciph)xtshown below, along with the electric field lines around eachhtics 3f 3 j2d1pdt).x 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 magnitude are locmh 5 6t4.+d9cajwss k7d7rdz nated on the same horizontal linehst94r+j7d 6man5 s . wdckdz7.

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;w;di k8s624umlosedy o1q q 3 into a quarter-circle. What is the direction of the electric field at point q3oeud;y; k42lss dwom81q 6iP?

  A non-conducting sphere with radius R car0 payul1p6wbl:9y f 2zries a uniformly distributed positive charge with charge per unit volume ρ.Point P is at a distance r from thl6yw p 9f10zu ayl2:pbe 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 theg9 dr0xgfr+ o,4 wytn1 equipotential lines in a field due to A and B. What may be represenwg +9 n1d4t0oyxr gf,rted 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 the equipott5fs 9/o(*b h).o thj tqyq +8zen2jdhential lines shown by the lines fod te9*h )q/nt zj(qo85.t+j bhhs2yin 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 electron assumed to be orbitgmyi .k, ),tvy.ou:zeing the nucleus in the first e:oigy)u .zvek m.y,, tnergy 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 ij8uf5mairli /ah*lxul/0p lxwc8 j6-*s ul2;n the diagram. Some of the electric field lines due to the charges are shown on the diagram5;ci /lap wx 8f/huul0su2a l*ml 8-lj*i6jrx. 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 and th:e z4g f(m.hxee electric potential due to a hollow conducting sphere vary with distance from the center? The o .h:efze( x4mgrigin of the graph represents the center of the sphere.

  Which of the following vsnmyo2tj g/b,0+a 5kis equivalent to the unit of electric potential differencmsak/j, 0y+o5 vnt2gb e?

  Two point charges of −4.0μCr74/ tndui 3vua8yie 5 and 88.0μC are separated by a distance r=2.0cm as shown in thei 74uunety5v3 /dari8 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 energy2zgy 0d-j/ 3ztrjf5c t.
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 equipotentw7 ku8xnti8 ,gial lines are represented in the nwgtx8i u 8,k7diagram 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 surfaces of two cfk0t6yg;g,o liy vr,bz n:u:5harges.

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 heldw0k+ko)q) ul i 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 plsuf4rud i.5pf4*:35m cb gnqtaced in a medium with permittivity ϵ. The charges are then moved to air so that they have the same fodrt45ug i bcf:5pm4sqn*fu. 3 rce 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 platuwszm+eh hx( d/l36 9 p*k:htue of two oppositely charged parallel plates 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.6h:hu hdw/e +z sluxtm 3(p*k9
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 dlx2l1c wapu+uv/9 ,u exert electrical and gravitational forces on one another. To the 2/p,udavll+ x91uuwcnearest 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 correspondi6y(lqf1 6 upmz;da ,wsng potentials are shown in the diagram, in an electric fi;,lauwfzmd 6ys6q1( peld.
Which of the following is a correct statement regarding this electric field?

  Two positive chargesd+kcpdh.q*s 8k0aj)* tua( y1lh mvy8 $q_1$​ 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 ofks(t9 j5b(izksilhkpsj; 5 wm:x9i2 1 a rectangle. Which arrow represents the net electric field at the center of the rectbi(9s hx5j(kw9 s k:pzt 2m5k;1ljiisangle?

  Four identical negatively charged objects move in an electric field alonohf 5 lr)-y ql,e dv6;cv,gt/cg paths shown as arv-;6cf ry5)h/gelo l,d qtvc ,rows below. 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 byk4 m2cyk vgcx:. fpw+; a distance d and connected to a battery of potential difference V as shown in the diagram. A proton released from the positive plate gains a sppm24gcckx ;kf.y+v w :eed 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 ofip7aa6u6:u;vr cmqe: magnitude 2C and 8C respectively are placed 9cm apart. A thiru;:vu6:qaer 6amp 7c id charge 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 point cha*:i0ui 6 af tim95crvarge.
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 compared to the dist:ej3 ll 5jlt+pb38lv oance Revllpb+5:j j 8 tl33lo.



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

  Estimate the speed of an alpha particle that has accelerated from rest in a uni j+0z.jsh l7a(a)mtwgfo0j am +hjwtlzg(.a )s7rm electric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the varl7)o /x fcf.sad4rq 3poy od7xf,a(*wiation of the total electric potential due to two point ew /qy ) 7.xo pl,3oo ffaddcx47fsr(a*lectric 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 poin qi8; e2 ocyx22s3wsztt charge as a function the 2 2xzs ;o ytsw3cq28iedistance 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 ch.kva t ez817j/lfdj.aarge of +3.2μC. Point A is used to describe a location 20cm from the surfaa. fl/j8.adt ej7kzv1 ce 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 distance r as shmr, h:z-v6:sj ,j,ce0cj1f-ml q ulkvown.

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 off0p2 kw5r9+f cjfxd 0b a square. Charges of +2Q and −Q, and unknown charges A and B are located as shown on the2bjrcfx wf0k 9+ pd0f5 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?