The work done on a beta-minus particle when movin(0g7h i-;oy ryait+cy g it from Y to X is found to be −10eV. Equipotential lines are represented by the dashed lines i a(ioyyyhcri + 0-;7tgn 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 by a distance o5h)+ +f0sdl caydmskllj,l87f 5c7yd+ l0l+l)d8,smsa5ljk fhcm. The potential difference between the points is 50V.
What is the average electric field E?

  Which of the followin f2+uql1a8y1nzdre7 mg correctly lists the fundamental forces in decreasing order of strena 7+q8dzfu1ly nm1e2rgth?

  A beam of electrons ent0 iny *niuyjf:*ky ,/qers 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 in a uniform vertical electil)0mt02oxlj. jkur, nze9q; ric field, representlin;0.,xlzo0j t rkm eu29j )qed by the arrows. Which of the paths shown would require the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distancira5/k tm./ole, are shown below, along with the electric fieldalt/mk/o .5ir lines 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 charge of equal magnitude are(8rao jp hhbgn,( )ks. located on the same horizontal ()onbhasj(,gr .8k hp 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 distrib( x3rv8 twno/71l urunuted positive charge is bent into a quarter-ci( nxourv31 78rwntu/lrcle. What is the direction of the electric field at point P?

  A non-conducting sphere with radius R carries a uniformly distrl;, 35.03umwgf holbqpa s3yributed positive charge witlp rugqsm,ho3fab0y 33. l; w5h charge 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 equipote kvn1p.wd;mx *ntial lines in a field due to A and B. What may be represented by A andm1*kwn;vp x.d 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 equipotent9at dxy0r3uu*ial lines shown by the lines in the dy* u3aur 0dtx9iagram. 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 modef , /+ajn89vcpqzs5qiled with an electron assumed to be orbiting the nucleus in the first energy level /,9pica nq+fq 8s zvj5with 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 lo+e6 w+ylcl6v jcated as shown in the diagram. Some of the electric field lines due to the charges are shown on the diagram. Poi6vwc+ly 6+j lents 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 oftmxoid0 k7z0g ;bw,t* graphs represents how the electric field and the electric potential due to a hollow conducting sphz7wg0tk tm;d0ob,x*i ere 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 diffa+jp2t *l1 5 cjftzf0gerencg52jl pj*tc01aztff+e?

  Two point charges of −4.0μC and 88.0μC are separated by a distance r=2.0,d--hm 4 b5f ju: ye:i9nxpflbcm as shown in t 9fm:nh,jf5bl4 i-pd:b- xeuyhe 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 potentiasnx qgc;-x n(x i.r3,vl 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 f5xmqxm 6 b(ymuxu*+ psedo15)our points on equipotential lines are represented in the s*q1uo dubxp5mmm(65 +xex y) 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 surfaawd(helx hx il +5ub4( v/q/b4ces 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 atd(hu4q idr/ 2ehj; gd0 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 i n)2y/j zvyp4,e 2voyxn a medium with permittivity ϵ. The charges are then moved to air so that they have the same force betw/o,v y24y)ze2 x yjnpveen 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 op s( v8carncj(iz92hqkb;q,b/positely charged parallel plates placed9qaibq(bc (zkn,csr8 2 ; vhj/ a fixed distance apart. The potential difference between 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 object with char1q tiovei7;3mwid ( :gge +e exert electrical and gravitational forces on one another. To the nearest order of magnitude, what mass must the object have to be so thatg 7it(mi:3odi v;e qw1 the net force acting on it is zero?

  Equipotential lines representing the correspond8 rd1wh,5i ptbing potentials are shown in the di r8ditwb1 5h,pagram, in an electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive chargesa q3( x kna.n6f9/jw jlm9,hyl $q_1$​ 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 particl,ftw:vj t2hsh fg3h 4) 8qu2bles are at the vertices of a rectangle. Which arrow represents the net electric field at the center of the rectangle? lqwfj)v:g32sf24bt 8u,t h hh

  Four identical negatively charged objects move in an electric field along pathv0q d uwbq)n-7 rqcg,7s shown as arrows below. Equipotential lines for the field are shown. Initially,7)0cr- g7,vudqwnb qq 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 di9p7zz na2 irmmx8.w35ryay* n stance d and connected to a battery of potential difference V as shown in the diagram. A proton released from the positive plate apzny8nai y.z *mrrxm32 7 w59gains 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 b)d.dmtxmi9 - and 8C respectively are placed 9cm apart. A third charge is introduced between the two chdd m-b 9mx).tiarges as shown below;


At what separation, X, from the 2C charge is the electric field strength equal to zero?

  The diagram shows equiporctdwe.em5;2s*hxheb1ia; * tential 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 diag(7 *ht7enon1xyqxwa5(m7owo ram, the size of the charges is small compared to the distance R.ao7y qexh17towmo nw7x (*( 5n



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

  Estimate the speed of an alpha particle that has acce5qje1fjwk2 oo721l -*r ptnxylerated from rest in a uniform electric field E=507 2-jwfjnxerp k1q*o15 2 ltoy $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of,p35/*ue+gt1is wt*vj/*mazmtryv o df9o 6a the total electric potential due to two point electric chasty tm 1 6j*vrw,aum*v tif*zd93po+ /5oa/gerges $q_1$​ 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 variaju-wao -;gpc/ tion of the electric potential due to a point charge as a function the distance r frogo- /w jup;-cam 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 of5yi r.on pvtrulj,7 46 20cm and a charge of +3.2μC. Point A is used to describe a location 27on pry 65j4,v. turli0cm 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 saq r5q4kacsv-.)f+ qj eparated 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 shown on the corners ofr.i xi ltcjd0k4 935ze a square. Charges of +2Q ar x4ket0.9j5iidclz 3nd −Q, and unknown charges 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?