The work done on a beta-minus particle when moving it from Y to X is found to sq ni+0:v: veqbe −10eV. Equipotential lines are represented by the dav q:sqe i+v0n:shed 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 betlw/9*kt l04gcv8azb pween two parallel plates separated by a distance of 5cm. The potential dg/ll9 v4kwbc0*t8 ap zifference between the points is 50V.
What is the average electric field E?

  Which of the followingt6)g:om 8apcfj2+pu4ds8u*9mly ix l correctly lists the fundamental forces in decreasing order of mdm plsua:x6ci 8g9 puojt8*fly)4+2 strength?

  A beam of electrons ent +t7,uaf ec5d8 :awkzkh7t5c+wlf7j t ers a uniform electric 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 fs yt31fn h7f3cc.m(jt5gh+x(zh .pvin a uniform vertical electric field, represented by tht yjf h(sfft37.c 5vphzg cmx.n3(1+he arrows. Which 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, auuesior.8 s63du q90llong with the electric field lines around9e l ous8rs.0dq i36uu 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 charge of equal magnitude are located on the same horvlx*q31n*a ( ek i,k mq, .7w:tiaauwzizont w(1.3v,a l7,:x akuktz*aiqwn*e i mqal 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 dases of,sxxgb lx66493x)-ocharge is bent into a quarter-circbf-xoa6 , sgx)l 6sex3s9xo4d le. What is the direction of the electric field at point P?

  A non-conducting sphere with radius R carries a uniformly distributed positive d : -s,i3sibypcharge with charge per unit volume ρ.Point P iss :ii3-,pbd sy 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 equipoten jkp0n 6qn dj-j0*/gljr+ dx+btial lines in a field due to A and B. What may be represen+p x*6n+jjq j d-k b/njd0l0rgted 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 b2 3hhkwjgr eee* nv72z.-ccb *y the equipotential lines shown by the lines in the diagram. The el2e wg re-bjh3cn2 .*7zcvh*ekectron’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 nucleus6mj (3dqwa3h9,,luah ol9mx z in the fioad6mwzmq9 x,a3 ul h3 j(9lh,rst 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 az m5e;z6 t9i+qaj4lyv s shown in the diagram. Some of the electric field lines due to the charges are shown on the diagram. Pointsv qz;4iz6+j la eytm95 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 m, oqv/rs 7:hconhb*; wpd.lsr o/vei6s58z4electric field and the electric potential due to a hollow conducting sphere vary with distance from the center? The origin of the graph represents the center of the sphere. e8 hh5;,zs4s6dilovw 7 mn:sb.rcroq/ * vop/

  Which of the following is equivalent to the unit of electric potential diffe5msn py6oyweo-4n 2/ yrenc4 y/ 5yyowspn6m 2o-ene?

  Two point charges of t180 c8pijz4f9:,vitkh zr ga−4.0μC and 88.0μC are separated by a distance r=2.0cm as shown ktizr1pc09:z,8ja g t hv48fi 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 potential7d; *gy:wm fccmav ;2b 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 evoo:n- uw6v *iquipotential lines are represented in the diagram shownn-vv w i:6ouo*.
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 charrdaxpmb +w( lsdc3,+r41t vb6ncv v)3ges.

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 c1jq( 21zrr :udqrmro, h2p/mheld 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 abup0)kcp4u 3ad;x:g vre placed in a medium with permittivity ϵ. The charges are then moved to air so that they have the same force between them acxuv ppg0);kbd34 a:u s 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 .m. mg 85d6igxq g*bx+cvj3pathe negative plate of two oppositely charged parallel plates placed a fixed distance apart. The potential difference between the two plates is V, and the electron re .i6g53m agcmx. qvxp +8bjd*gaches 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 +e exert electrical and gravitdk(, ;97 e*ixsmgvfffzrc:q 9ational forces on one another. To the nearest order of magnitude, what mass must th9,fm :* 9(fkzfdqr;i cgxsv e7e object have to be so that the net force acting on it is zero?

  Equipotential lines reprb -6dk5lkpjn:a 7 5(v4pucun besenting the corresponding potentials are shown in the diagram, in anl 6d(754 u:pnkp- c5uajb kbvn electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges s6a4r;m +;7rbhvsyeuor0 fj 8$q_1$​ 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 particleuvs7 h68 j9qmks are at the vertices of a rectangle. Which arrow represents the net electric field7qu 6 hm9k8vsj at the center of the rectangle?

  Four identical negatively charged objects move in an electric fie)hr r-z0 zq l 9w7nz22b 0h0wdd:utubsld along paths shown as arrows below. Equipotential lines for the field are shown. Initially, all four objects have the same kinetic ener9bu h0tqn22z7d00 bsrw :zd)lwu zh-rgy.

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 connected to mq b1p9p**2hf q0pf eva battery of potential difference V as shown in the diagram. A protpfq90 pv **f2behpq 1mon 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 magniwrfr ja xkdh5: )5*yt;tude 2C and 8C respectively are placed 9cm apart. A third cha5 :;jtwxkh fyrdar*)5 rge 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 dbot57 nlfj c**ue 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 diagramj.k) erp+9x fj, the size of the charges is small compared to the distance R.re+xk.fp)j j9



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

  Estimate the speed of an alpha particle that has accelerated frowgojqn4c4o 8aj:if; :d *1dtbm rest in a uniform electric field E=4tg4c q1wdd oj::o*if8 ajn b;50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potenv+ j(*elrn hsb+u+ s8 //zkjbqtial due to two point electric ch+/k *b sz+n/+qjj(8reubhl svarges $q_1$​ 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 th+ mgczkp47i :galnl )4e electric potential due to a point charge as kp icm7 gz)n 4al+4lg:a 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 20c ebnqb8ias ni d)5)8m,m and a charge of +3.2μC. Point A is used to describe q)i8e i)n8nm,d5b sa ba 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 dist2w*.na m l-ecrance 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 jwan 5vcb+: xhugyb -s,90 ep1placed as shown on the corners of a square. Charges of +2Q and −Q, and unknown char0 n:19e uha bpy,vc5xsj-+wgbges A and 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?