The work done on a beta-minus particle when moving it from Y to X is ij2qqz,b;3 ha found to be −10eV. Equipotential2zqqa jih 3;,b 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 plates separated bvb k,+ vdm0z3ywk /(toy a distance of 5cm. The potential difference between thez(t mb +kv 3od/v,kwy0 points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fu0f :jmonn 2*mtxwh3s3- cdjw6m h w4w6ndamental forces in decreasing order of s h4-j:mw23 n6wof0hms*6w mw ntcj3x dtrength?

  A beam of electrons enters a uniform elec78zbioj e7 m(ltric 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 elecn;,7)j d cmse/sbx m:ctric field, represented by the arrows. Which of the c ses;j:7m),mbx/ndc paths shown would require the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distance, are shown below, along with tv 6kqqh):bzq(he electric field lines around each ch:b6 (z)qvh kqqarge.

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 xzkud;2n37cj9n .qja gp aa-3 magnitude are located on the same horizontalu 9;2x g -.73jn anq3pkdcaazj 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 ikastomi0kt*z8*a3 ., f(thr i8ins/ 6q 2stuqs bent into a quarter-circle. What is the direction of the electric field at point Pq i.o03zrt2hi *,a8m (ks/skit fa*8 nqtsut6?

  A non-conducting sphere with radius R carries a uniformlyn/ v*)m wuz4 8eoye3ej distributed positive charge with ch/4 jvuz)eoe w83yen*marge 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 equipotential3aoy/ p,yt+-lf qoic)*ymgmt j 6h0a + lines in a field due to A and B. What may be represented by A and B? g)/aa y6*ly hoo qj,+m pi3-0fm c+tyt

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 be4gooc zi; ,-dy the equipotential lines shown by the lizg;doio ,-c4enes 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 modelrzgxf-yw- p13(;g btled with an electron assumed to be orbiting the nucleus in the first energy level with a speety3x-w 1lf;- (bg rgzpd 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 d-p q,9x.nrohsiagram. Some of the electric field lines due to -hpxn9,.osqrthe charges 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 tos 3ee.,fcq /ghe electric field and the electric potential due to a hollow con, o.3eq gsef/cducting 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 electric potential (m ,e f5ht )g7viui*1 bhgw6bldifference?t 1 gw7v(*gul5i fh6mbeb),ih

  Two point charges of −4.0μC and 88.0μC are .hnmg+u hf,q7 separated by a distance r=2.0cm as shown in the dn7q.,+hgh muf iagram

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 energy. n8i.zhuw/z7 m*uov,q
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 fof 2y:baul1)pdcbhc8p*mg99v ur points on equipotential lines are represented in the dia2cl) yfvc h mbu98d*gap 1b9:pgram 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 thnym --(x 6.zch7tonm re equipotential surfaces 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 fixp66:y3jp r odped 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 3r2m (5abv 0o6t 3rdmq,dvpxfoyg g.43 xk6zdpermittivity ϵ. The charges are then moved to air so that they have the same force between them as that in the medium. 3y6fg p t 42z(qvvo,xkdx 6r.omddrba0335gm
What is the distance between the charges in air, knowing that $ϵ$=$ϵ_r$​$ϵ_0$​?

  An electron is released fro /c(n31nt 1nvbm 7buzpm the negative plate of two oppositely charged parallel plates placed a fixed distance apart. The potential difference betwen11t7v(pb nbnuzcm / 3en 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 o j w (2d.jao4xu. q e)t5gl/)ownjbwf3bject with charge +e exert electrical and gravitational forces on one another. To the nearest order ofoxt nou.wa 2q.df jg w))ljb3(/5we 4j magnitude, what mass must the object have to be so that the net force acting on it is zero?

  Equipotential lines representing the corret2pkjr0qfh;rm0 s6ap a a;z r:-4x1fv :i obx5sponding potentials are shown in the diagram, in an electric fiz if r q0rjpm1ko0:a52a; x-vs6xp4ab thf;:reld.
Which of the following is a correct statement regarding this electric field?

  Two positive chargesx en:24hlv b 7sia+g1s $q_1$​ 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 particleo:ux+lqa k d15s are at the vertices of a rectangle. Which arrow represents the net electric field at the center of the rectaa15 dlu+okq: xngle?

  Four identical negatively charged objects move in an electric fiel y1 .z3:uq ;oap+cvawyd along paths shown as arrows below. Equipotential lines for the field are shown. Initi vyq w+py1 aa3c;uo:.zally, 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 sec5.v4tzcex*f w; .gzpparated by a distance d and connected to a battery of potential d f gx.cp.vezc tw5z;4*ifference V 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 respectively ardhfz: rj wf7ye 7v,rz2x28ih1 e placed 9cm apart. A third charge is introduced between th8hy2jf17:zr2hfe,wxdz v r7ie 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 poinzqd.ohs h /xk-k o:s56t 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 small com n,od gy)zq0:+hra9gr pared to the distance ,g +qor g9nadr)hz:y0R.



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

  Estimate the speed of an alpha particle that has accelerat5az*jf+nb-/e(w l.dx 1g ax deed from rest in a uniform electric field E=5b5 a-1* eaj nde(+wgzx fxd.l/0 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electricg ja41cy )hu n2/guue.rs4gl4 potential due to two point elecj/ch4g1geunu44a2 l us.g)yr tric 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 potenti0r; (:gmlqe l/ u/typ xsnl;qkl: l+n/g/mtr8al due to a point charge as a function the distance r from its cenl:mslrglqqlnu/y; :+tltm /k/ ; p/0(n8egxrter.

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. Poin d1jdl 1yiqp570b g;syt A is used to d dd17sqpy5yj1 ;0bi lgescribe 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 disl5gx9r rdqn:n92) 9fvg oaz3em:1yestance 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 square. 8f cyvm)dwm7tp+6c ( 38pk3gumch,qiCharges of +2Q and −Q, and unknown charges A and B are located as c,8m76+mf tpv8i3pmkq (uyc)h3dwcg 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?