The work done on a beta-minus particle when m;;p 05ec2kdy3kgr1j48w7y bm) hx+ khih uo lboving it from Y to X is found to be −10eV. Equipotential lines are represented bbo ;d7h4 kxeiyj+)cwr mulp8b2kh 5gyk 03h1;y 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 (rfbxfbzqm l3-r 6b2g;q+t :*z vrn*rbetween two parallel plates separated by a distance of 5cm. Themg-f+ q2f*t* ;:6lrqzb vzrb n(xr3br potential difference between the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundame.xszh -c 45oudntal forces in decreasing order of strength?o csd.h5z4u-x

  A beam of electrons enters a uniform electric field, as show2th/.lwpmo ;(ui hz g:n.



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 electric field, re.pta uki e)ets68lx7 b.2w,gd presented by the arrows. Which of the paths shown would require kep7ux .sb6gi.d8) t2 wl,teathe largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distance, are shown below, alon9cf6 vd9mlilhe /8pgg kg1 :4jg with the electric field 16 9i98ve dhpj/4gcmggl:fk llines 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 chucs iu+z;jj7+i z t0i,arge of equal magnitude are located on the same horizontalj+uiu,;ii zts7jz0 c+ 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 inl ac5+c(bsztr:potos 88*,yx to a quarter-circle. What is the direto+ bpsr8azcl,xt8ys5c o* :(ction of the electric field at point P?

  A non-conducting sphere with radius R carries a uniformly 1j9r e4r6w4i qkst)/0zmvv g cdistributed positive charge with charge per unit volume ρ.Point Pg ik 1r/ cvvrm4q9e )t6swz04j 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 equipotential lines in a field du:v-*c rv e/dp xodo:s,e to A and B. What may be ,:s-/ddvo *:cxpr veorepresented 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 equipotennb/:pn d,9wcl. nhx6y oq9m /ntial lines shown by the lines in the diagram.xmn: pqlw. cn h nbyn6/o/9d9, 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 o6 btn vqddy1:sefe 7g56u1 2cd; bcks(rbiting the nucleus in the first energy level with a speedq ckys7 :d6;e(tvsun2c 6 1fdbb15ged 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 in the diagram. zom)wl.+7+qf) ,bnfizg jq x; Some of the electric field lines due to the charges are shown on the diagram. Poinfwzgl qj;i,)z+7f mqnb. )+ oxts 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 following4zns .cq-pzv/ .p v;hl pairs of graphs represents 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/s.z4c- v np; p.vqlzhnter of the sphere.

  Which of the following is equiva cqmx h5/05tzllent to the unit of electric potential difference?50lhx t5/ cqzm

  Two point charges of −4.0μC and 88.0μC are separated by a distq t4hlqy,zxyxm ::;4jance r=2.0cm as shown in thej4 4hx x z:,mqyy;ql:t 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 potentia:cd z 7innw,j*l 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 equipotential lines arz :l2gec -lh.z:.tn-ap au q77ejrau0e represented in the diagram shownj -g:al za.2hu c0etrlu: q7.z7ane-p.
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()5hfxgi/f3tio 2gu -. cgtv f 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 *, ufmefbt(4 t- 2dbigxy6iz3at 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 permittivitse4 9hldjj+ /n//ho m3lhsp9dy ϵ. The charges are then moved to air so that they have the same force between them as that hl+o9d///dj43n shsjl m9ehp 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 negativ;avt7udyc(qtf12i hzzp4wx6 ba4+r 9e plate of two oppositely charged parallel plates placed a fixed distance apart. The potential difference between the two plates is V, and the elecpvdq+x atz u;6i2hfy9trc4z1a7(b w4 tron 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*iz1cg lis*z2s54eakt ( 5uvgyr3b1 d +e exert electrical and gravitational forces on one another. To the(55kec *tsg irl4byizs2 a131*gvuzd nearest 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 corjnfzas.. 2axb p.*si9vnr:h:responding potentials are shown in the diagram, in an electric fieldp.afs*vb i.h 2xnrz. 9js :an:.
Which of the following is a correct statement regarding this electric field?

  Two positive charges t4u ) w3t1n9/vcbi8l9ixsg d 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 particlesev a+kvv4h 0zau(4d7cmcj1-v6z g6 rfwp 0b3d are at the vertices of a rectangle. Which arrow represents the net7vd ( ka-ah6vzvdu+f6b4m0g3 v0cep1c4wz jr electric field at the center of the rectangle?

  Four identical negatively charged objects mogs6c ag7o2wo68jep /bve in an electric field along paths shown as arrows below. Equi e2gsp 6owaogcb/j867 potential 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 separat:5:7ltqbk ced 3a +f g9vwt+gced by a distance d and connected to a battery of potential difference V as shown in the diagram. A proton released from the posie:c ct l3wat9f gb5+:gd+v7 qktive 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 o -ow/pkqoi70 ss(as4 rf magnitude 2C and 8C respectively are placed 9cm apart. A third charge is intr (w/-k7spa soir4qso0 oduced 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 charge.ale sv7 : zy5mbz,/4vr
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 distajj44t8/s t hkvnctsj 44tvh/jk8e 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 f2gi.zvu960pgb 6hv 2qkby-urest in a unifor uu 2v20 k-qzbbf6.ipgg69y vhm electric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potef0 2vvt jf+*uuvf5)v fntial due to two point electric charges f50jvf)vu+*2v fu tfv$q_1$​ 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 g.)*v ja3af4r:i*v hmhvcvs b2wo 26fof the electric potential due to a point charge as avfv* s ahjr42 cv2) o.:vbm3ifhw6ga* 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 hx,r 6 ty)mvek1l*0 yeqas a radius of 20cm and a charge of +3.2μC. Point A is used to describe ry t1,6l0vxeem qky)* 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 distq.x4cg(n cug7 ance 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 corne 0v*gscb 2nw d;bbi;lq8z60jnrs of a square. Charges of +2Q and −Q, and unknown charges A and B are located as showz8 2bg;jdq* l06 nvin0 swcbb;n 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?