The work done on a beta-minus particle when moving it from Y to X is fn 11a h39fp1 xbggtwwb0n.z7cound to be 0zb1nx 7.c191npf hwga wt3 gb−10eV. 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 be-j;t4 eiwy z3ptween two parallel plates separated by a distance of 5cm. The potential difference between the points is 50Vtezwyj3- 4; pi.
What is the average electric field E?

  Which of the following correctlyocqcp,.vp aok8la5; + lists the fundamental forces in decreasing order of strengtc8c;a .+o5pqva,polk h?

  A beam of electrons enters a uniform electv+j 1 cf0a8tkuric 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 vuq482 piug) 5v a2dtso3qd(:0:kk fnjum9qp fertical electric field, represented by the arrows. Which of the paths shown would require the largest work to be done on the hydrogen npn 0fa2u94q u):3sq (pf8odkqk5gvtudi 2:jmucleus?

  Two charges, separated by a large distance8uh v 9:ssu8yf, are shown below, along with the electric field lines around eachf9 svu:s88yu 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 magnitu4a)clz2k:qkx+e u zr(de are located on the same horizontal :l)a +ez2 zur(4xk qckline.

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 c0)xlmr,u -rhv xj6 dw-harge is bent into a quarter-circle. What is the direction of the electric fielux vd6,rxhwr)j0- l-m d at point P?

  A non-conducting sphere with radius R carries a uniformly dis8 p)sx*1g2lu k30wv mxrnzmoal t-*r8tributed positive charge with charge per unit volume ρ.Point P is at a distance rln-*3u8o2 xmlprt0 v )8ka1rgmxwzs* 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 due to A y i+jxuagk1 b9+)p)ulj3 0c jmand B. What may be represented by Ak03pyi uu g )j91 jmxa++lb)cj 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 equipotential vw7g-yw:w 2kj:f)p5pge 3toe b*m7sdlines shown by the lines in the diagram. Thk: jsw7vgywpegw e7:p*m b32 o d5)t-fe 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 s6k1yu f)bc+h assumed to be orbiting the nucleus in the firstku)+1c fhsy6 b energy 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 in the diagram. S/ xr2pilp4v fhfq3(dta7 ./pgome of the electric field lines due to the charges are shown on the diagram. Points P and S ap q372hpgfxd .tf/4(l/ripv 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 re o38 /rc8dp4 zlmhk-hipresents how the electric field and the electric potential due to a hollow conducting sphere vary with distanhkc88ph r/-dl3ioz 4 mce from the center? The origin of the graph represents the center of the sphere.

  Which of the following is equivalent to the unit of elec v,4h p)h:r/i0 s5j9nvoctj i+q*fzxotric potential difference?x:*j9h hif /vpt0n4rz,sj +c5io)q ov

  Two point charges of −4.0μC and 88.0μC are se*ubzvfn358i0z zr q1jmd u9 p:xcau13parated by a distance r=2.0cm as showu3j1m uzb *:znqd uz0rv9cafi153x 8pn in the 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 potenti nbb 4mgv- l7zn(p3gp/al 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 are repokj dq*x;yx(p t;b3v; resented in the diagram shdpy b;3xk* x qv;t;j(oown.
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 t 2/h8*zapnslr4b ae d0h i 2pp+ 3ump8j9xtu8swo 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 a c1 slv,uk zoeu;kyu1kff /y(z8)a8x6 re held 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 pli/x-h)d s hm:yaced in a medium with permittivity ϵ. The charges are diy-sh: mx /h)then moved to air so that 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 char -hz8b6 c: b;iytyge7j1welj*pdcv0l mr12t 6ged 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 gj tlw17e8: mc6ped-0tj lzr6bvc;*yy21 bih 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 36bbh)qke8 pb exert electrical and gravitational forces on one another. To the nearest order of magnitude, what mab) kh8qpe3b6bss must the object have to be so that the net force acting on it is zero?

  Equipotential lines represek-n,v / j9oshhnting the corresponding potentials are shown in the diagram, ijk-/n h vo,9hsn an electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive chargessum iduo7*;9 ag f9n*i $q_1$​ 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 vert8 t3.s0 gnkoppices of a rectangle. Which arrow represents the net g3stno kp 80p.electric field at the center of the rectangle?

  Four identical negatively charged objects move in an electric fkjqz:y6j)(j ,2fxdep ield along paths shown as arrows belowf:djp2) yjqx6 k(je,z. 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 by a distance d and conne;la3gm7fuem 8ge6gq ahh7 o/* cted to a battery of pote ehmq/;u*gge m 3g7af6 8aol7hntial difference 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 res6/: y bm:xzljppectively are placed 9cm apart. A third charge is introz p:jxy6/b:mlduced 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 equipotentb9jw+5x xkgw :m8q.ieial 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 sma d0p*ebzuby aq97 ,e4nll compared to the distance pbq z4d7,a *ne eub0y9R.



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

  Estimate the speed of an alpha particle that has acm xtdovnh b7twz) .7(0celerated from rest in a uniform elett7vd7b h(m0.wozx n)ctric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total elaeuck m.p (+ n04/j6bnbq/xdaectric potential due to two point elec/6qn4a0 e/bda.b+nj kux( pmctric 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 potentiaahf xz2 46y(c uj+2s1pj1+ cgr+gbgf kl due to a point charge as a function th rfg42p+g6bujaj+1yh+s fcz1x kgc2(e 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 20c02 q (fg5; y*v3l4fmj;dya8dq o/ja iygsk kl8m and a charge of +3.2μC. Point A is used to describe ak d/8y0gy2 j(fkl3j; ;q 584masiaqdy o fvlg* 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 separka mflnp pudh;n9r-4tc4+/1l3d3ss t ated by 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 sh,:x1na5fx89otv vbjlp h acwh)d0 s9,/hd *ozown on the corners of a square. Charges of +2Q and −Q, and unknown charges A andozflps)a o, ,08 5 vbcjxavddhhn:/19x*w9 th B are located 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?