The work done on a beta-minus particle f4 fchf/x h.u)j9w*wh when moving it from Y to X is found to be −10eV. Equipotential lines are represented by the dashed lines in the diagram4c/w9)wf f .hhjhx u*f.
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 sep htqe.lw-lo 0is.w( 2jarated by a distance of 5cet.-w. sl( oiqlw20hjm. The potential difference between the points is 50V.
What is the average electric field E?

  Which of the following correctly lisxf*cjm d(j 2.ets the fundamental forces in decreasing order of*.fdmej(j x2c strength?

  A beam of electrons enters bg1r+ gws dqz*s(xm h-:a yh47a 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 electric field, gh, r;5eyc 4vwrepresented by the arrows. Which of the paths shown would require thv 5c;yewhrg ,4e largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large d wkkw uab mrs4;y6vnycbe4.( 99j j66xistance, are shown below, along with the electric field l.jyxru6se n9k jyw;ab(bc96m v4 46k wines 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 locat1 cp9;lgvef 0led on the same horizonta 0ll1g9f;cepv l 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 zcuyw6,oz ) d0distributed positive charge is bent into a quarter-circle. What is the dcz)dwuo ,0z6y irection of the electric field at point P?

  A non-conducting sphere with radius R c.* t) /hi)wqah4)wycnsv n uc8arries a uniformly distributed positive charge with charge per unit volume ρ.Point P isn/nuw8*yq)s.t4cc) hi w)vh a 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 lines in a field due to A and B. What may be nqigl) i,3x+m represented by A and B x q3,+gnilim)?

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 lines smhg; j5kqk2q2 5xk0dn hown by the lines in the diagram. The electron’s pat5 qqm0gd5kx2; khnk2jh 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 ha9g,nilw ;sx7 ) :mehbe orbiting the nucleus in the first mxgh )9e,wsh:n a7;lienergy 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 4 x.fg-q-pwe fand Q are located as shown in the diagram. Some of the electric field lines due to the charges are--4wpg ffqx. e 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 graphs r) ;2bwvyqn ct-2wel2j epresents how the electric field and the electric potential due to a hollow conducting e;n2lj2c yq -)w2 tvbwsphere 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 unxl2k s4.a h,jqit of electric potential difference?j2hsq l.,k ax4

  Two point charges of −4.0μC and 88.0μC are separated by a distance r=2.0cm /:om+ayg 8b6g8 y1ni utj8h snas shown in the1 g+68j y/oa n 8unismtb8h:gy 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 potbb)nh;mx0c7i9 wqa8 hzyj,e4k ev;5t5qnwo9 ential 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 repred+f w. 9q:-;qrhrza tbsented in the diagram show ; q9-whdrzba.rqf+t:n.
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 c2gd sjk.7r3*rgy - dyyharges.

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 at a fixed distacw(t 7ep 1df2r08 mgvtnce.

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 in a medium with permittivitp6gjdy 17ru8b5u vsbtr-;z .vy ϵ. The charges are then moved to air so that they have the same force between them;sz6 vyru-7t .pv1jg 5ub8rb d 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 charged parallo1i +edfrg14cerdi g +e1c1fo4l 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 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 obbkp1rqv u-+)w7 ty1lmject with charge +e exert electrical and gravitational force-1b lv wpmkryq)u 17t+s on 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 representing the corresponding potentials arrn8(smh w2ts8 b;-de n ggrf(/e shown in the di( gnd2b8 ghmrews8;/fs( r-ntagram, in an electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges a-nt1buo, 1d l slsf4s3fz/q8$q_1$​ 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 ptr7eiv8 hu :cwy;j7,the vertices of a rectangle. Which arrow represents the net electri :8;rtphce7 ,ju7yi vwc field at the center of the rectangle?

  Four identical negatively charg*(ezkqp0) bo* l :ivcmed 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 kinetbk*lvz *: qe)ci(po0m ic 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 h;tx mu(3ptnj)hfh. ,cted to a battery of potential differeupfnh.)h3 mx; ,(htjtnce 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 magnituam-j3 1z.8zr)ww5lbjq y7 e ctde 2C and 8C respectively are placed 9cm apart. A third charge is introducetw)5qbz lj8-7ye1 ca3jm.rwz d 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 bw (:a mzsilh+9ot73rlines 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 g ke6.i3so.gea6;frit 9 j+y 3cfg)hmsize of the charges is small compared to the distanceyt)ce9ergf+ ja3;gm.h63 ik iofg6s. R.



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

  Estimate the speed ofzpm)d)w2io7;phh 3 il /onq6 g an alpha particle that has accelerated from rest in a uniform electi2h)73 dgwnmhoz/op6 l; iq)p ric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variatf(y8zr uay*e l3x.ld v9/b5 ufion of the total electric potential due to two point electx/( 8*. au dfl9u5y3blfvrzye 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 to a.tlozww(wx krjz9 a1d4 o9u6 , point charge as a function thew1,(zwjz 9oxrutw 6 la.dk94o 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 20cm ,d bcxa 4kc9b+fl w0)yand a charge of +3.2μC. Point A is used to describe a location lkfxa 9y4b)+b dwc0c,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 separate czcwv/;3nmb0xffn4xyo8 h; (d 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 corngeo)ei5 -+dg cers of a square. Charges of +2Q and −Q, and unknown charges A and B are located as shown on the dg-eei dc+)o5g iagram.

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?