The work done on a beta-minus particle when moving it from Y to X is found to be5aj1hnkqg/ kqnkf0 e v8cg9 +1 −10eV. Equipotential lines aq+ 58 qchkn0jkg 1e a9/fk1nvgre 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 bek lqq.zb )3;qm5a bz0dtween two parallel plates separated by a distance of 5cm. The potential difference between the blzdq).ka qm0;5bz 3q points is 50V.
What is the average electric field E?

  Which of the following corrr/byl-x, /deatwl) l 9ectly lists the fundamental forces in decreasing order of strengt xldeby/ twl,-a9l /)rh?

  A beam of electrons enters a uni(ied/e k:w2ipx5 hr9 lform electric field, as shown.



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

  A hydrogen nucleus i6v3dfs x eb,g r2rid+m s:7oj,s held stationary in a uniform vertical electric field, represented by the arrows. Which dxi6sd+j ,rb 7v mrgs3f,o2 e:of the paths shown would require the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distance, are shown below, alongp ib 5s6..zj qvci0rs1 with the electric field lines around eacjicz6s1i5. ps rbv.q0 h 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 lozf md5gg ,6d9kl b;0utcated on the same horiz,5 6dzg0 ; dulfgkb9tmontal 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 dir+g-h(3 n8vqz fq2hpb stributed positive charge is bent into a quarter-circle. What is the direction +8h n 32hbg-qvf(r pzqof the electric field at point P?

  A non-conducting sphere with x ,l0o3 r vh,l-hnrrr.eu,fx(radius R carries a uniformly distributed positive charge with chargehlux(x 0l-,o,vn.r r3h fr r,e 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 eqd yst w;(*fwa;*k y+d ada6l2cuipotential lines in a field due to A and B. What may be represented by A and B? ( dy;w l c ysa+2kd6atw;f**da

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 lin,8)uo e7qh64evuqo lmy1yv . fes shown by the)4. yeovqq 6,vmf 7h ulo81yeu 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 electron assumed to be orbiting the nc+ qa y:.a/n2akeaii 0ucleus in the first energy level with a speed of.+kaa yai02n/eai : qc  $2.18\times10^6ms^{-1}$
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 and0srgc(9:q:cdwhj3 vot0j:81kknb (w yrr j*p Q are located as shown in the diagram. Some of the electric field lines due to the charg ry:g08ko(3 dt0 *wh rjkrcvpbnc9j q(: 1swj:es 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 el/ov llgb6g( (xt2hh)uectric field and the electric potential due to a hollow conducti h2l )tbh((/6 ovggxulng sphere vary with distance from the center? The origin of the graph represents the center of the sphere.

  Which of the following is equivalentm99 b -z zwit zjt)sd+1rj0atj) oka61 to the unit of electric potential difference )jkt9+sair d1jz-61 90jta tbwzzom)?

  Two point charges of −4.0μC andv-uj (rtqy ;;d 88.0μC are separated by a distance r=2.0cm as shown in ;r(u-yqv ; dtjthe 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 potentia3klb8fps v 88ml 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 k;ov)kh:wt/l5ufe:k5 +ev vio)cho3 equipotential lines are represented in thekvol uf:o5e)k/vwkhe3 vo:) ;i +5thc 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 equipotential surfaces of two charge 83hu+tuv nucozyd6s9x3j -v 64pz;l es.

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 fi rvpx8 +ewb)d,xed 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 in2 eubk9qd7yc5 a medium with permittivity ϵ. The charges are then moved to air so that they k5b2 9c quyd7ehave 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 negati443,ja h(ae6sfx poys ve plate of two oppositely charged parallel plates placed a fixed distance apart. The potential difference between the two plates is V, and t f x (,3apesah4sjyo46he 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 wit:)qd z8) q7ma iv2evzbh charge +e exert electrical and gravitational forces on one another. To the nearest order of magnitude, what mass mubv )2i:dazvm) 87z eqqst the object have to be so that the net force acting on it is zero?

  Equipotential lines represef e us f5 cfmw/*sf*a3b37my:anting the corresponding potentials are shown in the diagram, ius wf :af m3fb5me7**facy /3sn an electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges n0ol:-/ ltqgx $q_1$​ 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 th8cw2samcj(jil fwkg8x)p8 70e vertices of a rectangle. Which arrow represents the net electric field at the center of the rectangm7(28 j apg8wxs 08kiccj )flwle?

  Four identical negatively chargeeu8:y:sg)( lew 2dwh 6 iu9csad objects move in an electric field along paths shown as arrows below. Equipotential lines for the field are shown. Initially, all four ow8)we s asl:ugy 69e hcdu:(2ibjects 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 conimewdn-gbue92 9 *u7c3k api u:/,oxqnected to a battery of potential difference 32d,g-eqiu:w7kuixacpb o m * 9/e9nuV as shown in the diagram. 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 rex5gf.z-yp6gmi 6ejvfv)+mb 5 spectively are placed 9cm apart. A third charge is introduv.f5eim yxj vg6g5fm z)b6p +-ced 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 equipotentkck s; :4dz5hzial 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 the charges is smal j:cen)nnl)ek* 8/ydu8uld,x l compared to the distae8) ld* 8nelk)j dxn,/nuyu:c nce R.



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 zymwvx/0ad;d-h, os ) a uniform electric fi,x0dhw); yz m d/vas-oeld E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric po y:okyx7w54 b*erl)fo; f+rxc tential due to two point electric charges k;7eo*b) xxwcfo +r: 4yrlyf5$q_1$​ 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 elects9hgi a*7y8 tjric potential due to a point charge as aa*sg9ji8y7h t function 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 charge of +3.2μC. Point A irj:x kv;ear0*u0hl-us used to describe a location 20cm from the surfar kuh0-rl v0ue j*a:;xce 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 dista8sz 1bk2sd z2*ue/ gusnce 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 showna43 wnwvtrs3olms9f 9p o;:-o on the corners of a square. Charges of +2Q and −Q, and unknown charges A and B are locato 9oparwws-s ;m393vl o 4f:nted 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?