The work done on a beta-minus particle when moving it from Y to X is found vi; 9k:a5wry/rj7 j gkto be −10eV. Equipotentia ky9:vk7ar; /jwj5gri l 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 a4upn2o yp17qz 7y, vpparallel plates separated by a distance of 5cm. The potential difference between thv77zpqyo4y, 2anu1 ppe points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fund3;c jpw yofqw.zv/(b ( 6pvmo1amental forces in decreasing order of stfqj(1zv p6w b3. cwvo/pom (;yrength?

  A beam of electrons enters a uniform electric field, as showkwt205yoxdg6 x ) ele(n.



What effect does this field have on the horizontal and vertical components of the electrons' velocity?

  A hydrogen nucleus is held stationary in a i2b*w3n8lo8w tb py8 9sn4m svuniform vertical electric field, repren*ybs8n8 43tls v9wb8mp 2 woisented 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, are shown below, along with the el8s,djpy fu2 ;se i+6fg gfg3:uectric:f 3sdf+f;py82sjug,6eg u gi field 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 locatqjgrc(nqw5g ) b)s/5oed on the same hori/cg) qr 5qow5sbj )(gnzontal 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 ,8jycs;h c3q:qvsbi* charge is bent into a quarter-circle. What is ts8h:;iqcq3s *, vc byjhe direction of the electric field at point P?

  A non-conducting sphere withnns/5a-i6:d7xw pt ii; l vom7 radius R carries a uniformly distributed positive charge with charge per unit volvswi 7p m;ao:nx7l6d-/n5i t iume 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 equipotential lt.w;zc b7m y.bines in a field due to A and B. What may be reptz;mb .b ycw.7resented 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./t yvnq88 hae field represented by the equipotential lines shown by thtq/e8. n hav8ye 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 assumed to be orbit;82 vzaf htb1a72l(yb i)trqq ing the nucleus in the first energy 812tlyaivh); r (a72tb q bqfzlevel 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 locaju1k8 +cxj4 weauy.;m ted as shown in the diagram. Some of the electric field lines due to the charges are shown on the diagram. Points P a1a k;4 . ey8+ujmxcwjund 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 thet 8(m)zq yekz7 electric field and the electric potential due te k zmz78qyt)(o a hollow conducting sphere vary with distance from the center? The origin of the graph represents the center of the sphere.

  Which of the following is equivalent t jt4x 5b2 h/ *h+uijbwrd0bwm.o the unit of electric potential difference5/ db bx4.m+ujhjw*2rbw 0hit?

  Two point charges of −4.6pwv2cz t9 /emk/3m vawd-ifpj12z 0y0μC and 88.0μC are separated by a distance r=2.0cm as shown in the dia2jy 2wt/ z-kciv16f30pz m/e wd pav9mgram

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 9 m(op sxxpx5/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 foui4:mk rup 6++ lcjqx)ar points on equipotential lines are represented in the diagrkjlr:6qm+ c4p auxi+)am 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 surfaces of two cqciv)ps8 wu78 harges.

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 72jtyknp/ i*hat 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 plu jyu0szf; +m.aced in a medium with permittivity ϵ. The charges are then moved to air so that they have the same force between thzjfu0 m;.s+u yem as that in the medium.
What is the distance between the charges in air, knowing that $ϵ$=$ϵ_r$​$ϵ_0$​?

  An electron is releas9;sa r cqnsfc2 oo(i52ed from the negative plate of two oppositely charged parallel plates placed a fixed distance apart. The potential difference between the 9f n q ;coo2s5cras2i(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 charge +e exert electr/v4alp.uh02lf azo7 ud6 jbz1ya l.n7kdk 0p4ical and gravitational forces olpko.yaa0u .nud0 p v4zd7haz l46j b71/ lfk2n one another. 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 repre ak. n;wl5he j5okab804vh2bsc87urm senting the corresponding potentials are shown in the diagram, in a2cbar0 ev4uh8w8s .;5o57k hkj mbanln electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive chargesoht *5b2)ki sv $q_1$​ 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 vertices of a rectangle. Which ar yw. jxx90nj.wh nvvs:6u/pf;row represents the net elvyxwp n 9s n/;v6jjxf.:0h.uwectric field at the center of the rectangle?

  Four identical negatively charged objects mor*09af7ymbfb ve in an electric field along paths shown as arrows below. Equipotential lib*amrf ybf0 97nes 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 b,y,ce qs4n*nzla( x+gy a distance d and connected to a battery of potential difference V as shown in the diagram. A proton released from tl nzs( y*qx,gc,+nea4 he 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 are placed 9cm apatv(/.l:feqnmef -t + 8-nde4s /cblmk rt. A +et mffn e-e c8:d4ksb-/qlm.tnv (/l third charge 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 ligv*yv+onpy9gn 7 ) i1gdqkn2(nes 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 th ,39hf +my2trn1kn; lcyr luz;e charges is small compared to the distance R. n;l+2uzkn1 9 ;fc,lrymyr 3th



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

  Estimate the speed of anaxsmz/2-+v mv alpha particle that has accelerated from rest in a uniform+ sm mvv2az-x/ electric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the var3ma;2fpd7fnoyrkg-jqk-jp ,/t) gmgya/z 0 2iation of the total electric potential due to two point elect- dptg2jmgk2nzpof raj /ay/qm0;gk 7-y3f, ) ric 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 potential due t,mkc6e ytyp 2z8c;y( :v )zielo a point charge as a function the ykyi:z;c(e2,pt)8c6 myzv le 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 s0u.g) uw-9 8oeuchfy,r4f6 j9sslutm and a charge of +3.2μC. Point A is used to describe a location 20cm from the surface or,c9l9 o. sf6ssyu fwug8j0h u 4-t)uef 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 are4gv9 cc:sqya0e:;s aly9iya st41; b o separated 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 kfd3 w5.rrzchk ,((iu placed as shown on the corners of a square. Charges of +2Q and −Q, and unknown charges A uzf .drw,ckr(kh (35iand 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?