The work done on a beta-minus particle whew9 p7l4 9z 7(wreovnr.ts(cgv pwt(v2 n moving it from Y to X is found to be −10eV. Equipotential lines are represented btve (( r774op(v2s9w9tzw ng.pcrl wvy 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 8j- :)r:r8q.jru. ac jyjo gbeseparated by a distance of 5cm. The potential difference between the poujoqa8cj8.-:.g rr: jjy er)b ints is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamental forces in decreasipjja3,9udx o2 ddd-y /ng order of str29od-dx d ,3udjj p/ayength?

  A beam of electrons enters a uniform electric fijvie3n grai;,r4l3ltv/t :4leld, 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 uniformvf: y k9q9yaoj/nlh56 vertical electric field, represea / 95: 6ylyvfhknjq9onted 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 distance, ar;i1k-1p9(oy zvcvu41gepo3 - wiz ioae shown below, along with the electric field lines around each chw1g uoi4zvi ;o pck9y1p(1i zvo3a-e -arge.

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 local9 .-b)ljqycs kn;fs7 ted on the same horizontal bs-knlj.ys9 fq;7l ) cline.

What is the direction of the net electric field at the point marked X, equidistant from the two charges?

  A plastic rod carrying a uniformnz 1 4q*sww7,i qt(r7n.un jvwly distributed positive charge is bent into a quarter-circle. What is the direction of the electric field at poinr7z7wuw.1tw(,n*q 4 vn jqs int P?

  A non-conducting sphere with radimgcrf nmd;x+j,sd078us R carries a uniformly distributed positive charge with charge per unit volume ρ.Point P is at a distance r from the ce8sxm+7 0cfj dg;dnmr,nter 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 thefj 0 wcn 1tpe3c4e-6ya equipotential lines in a field due to A and B. What may be represented by A and B? cw -63t e1yn epfj4ac0

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 equipotentiz6dm99 oq+hxdal lines shown by t+ d69zx 9homdqhe lines 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 modeled with an electron assumeaob vq 35w0*hhdvz2+xd to be orbiting the nucleus in the first energy lev q+ xb 23aw05hvhozdv*el 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 diagwo6qn(v5/ 1 q icuj d/bb)wgj4em7hf( ram. Some of the electric field lines due to the chargvgjm7fcwi) (56 b1/(n / udjqqe4hbow es 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 gx0r1 o-5r,q 1mt k;ek kajzrq0ps ,0bpraphs represents how the electric field and the electric potential due to a hollow conducting sphere vary with distance froa k rrm,0kx0-p trej01,5soqz;q1kbpm the center? The origin of the graph represents the center of the sphere.

  Which of the following is equivalent to the unit of electric potenhd qw*3s:2vo jtial differencsd 32qj *vo:hwe?

  Two point charges of s skq +g:d,jm)−4.0μC and 88.0μC are separated by a distance r=2.0cm as shown in the diagssg+: q,k )jdmram

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 po/aye,cckd;r 9 tential 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 pointb3h+fnh(t.k)s well6 ikn+ s7s on equipotential lines are represented in the diagrs3le k )(+l sfkb7whnit.+6hnam 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 equipotent8x:fcf y0hv4zial 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 j -mv) .wf;itmare 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 pjfv)0ok rb05: 0asf oa distance r are placed in a medium with permittivity ϵ. The charges are then moved to air so that they have the same forcef0 j5r0)ofkv0 pab :os 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 fro2vg nn.pxp 6n1,vwc1om the negative plate of two oppositely charged parallel plates placed a fixed distance apart. The potential difference between the tpg,ow 2.pn 1v6nnvcx1wo 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 charge +e exert electrical and gravitationaxelzrv05h2he *c :uv3 8w dh0jl forces on one anothuhv 5*0 jvrzhcldxw2 :ee0 h38er. To the 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 af+fkrn8:c83g ksj6 l pf/zv:corresponding potentials are shown in the diagram, in an 8p/:nkafls8gj6+3 r v f z:kfcelectric field.
Which of the following is a correct statement regarding this electric field?

  Two positive chargesyno5w*5 w5 alj vsq5j. $q_1$​ 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 egb; 3c17fft xt ns2h5vertices of a rectangle. Which arrow represents the ne3x fcn157t; hf2ts gebt electric field at the center of the rectangle?

  Four identical negatively charg(i.xfrjm34i h 3oqix(ed objects move in an electric field along paths shown as arrows below. Equipotential lines for the field are shown. Initially, all four objects have the same kinetic energy. .jm4qoi(ix3rh3 fxi(

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 a battery ckb t:sm qid8xd34.g8of potential difference V as shown in the diagram. A proton released from the positive plate gains a spdb4. t d3csg :xmi88qkeed 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 o4hbk k +*s:iw2C and 8C respectively are placed 9cm apart. A third charge is introducek4o: b+swik *hd 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 equipotenti.x pjjx6 gigh;s8.,ux1 p h2dni+b ho7al 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 e*:if -qvixisj *,3q*jyc tn;the charges is small compared to the distance Rx*-isv,ij;t:f yjqc3q**i e n.



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

  Estimate the speed of an alpha particle that has accelerated fee/8q utqx(:idh )k j5n) 2wegrom rest in a uniform electric field E=50 q:que keg5 tw8nhdx)j)/i e(2$^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the m/9 w/h uk,teytotal electric potential due to two point electric charges uhwe9,yk/ /tm$q_1$​ 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 potential duejnalw,q w+ k8l vyj; bx+-y3)r to a point charge as a function the distancy++8a jb ,;xwvyl-jqrkwn) 3le 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 20cm and a charge of +3)k wgf z.ok19p.2μC. Point A is used to describe a location 20cm from the surface of t9.o k zgw1pk)fhe 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 ef,; 5n5xdijp 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 peut fsu: qeq13* 1/ofmwqe1v9 laced as shown on the corners of a square. Charges of +2Q and e/uq9tm ew1efq1vsq :1f*3ou −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?