The work done on a beta-minus particle when moving it from Y: o yvv)nt5i3j to X is found to be −10eV. Equipotential lines are represented by the dashed lines in the diagramn: )y5vijto v3.
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 t7) k lgry*gxdvld8+ 3l4m2opzwo parallel plates separated by a distance of 5cm. The potential dif3xdkgy7d)p4lz 8l*lorgv +m2ference between the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fuu2wo9ly cze +5ndamental forces in decreasing order of streno+ecwly 5 29zugth?

  A beam of electrons eop)*)8c czrhq-*zwan0ng3 fb nters 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 ver,fo lxw8cj/-k lp bubet-6a +*tical electric field, represented by the arrows. Which of the paths shown would require the largest work to be done on the hydrogen-b kj+txl6,ew8 l- o*c afu/bp nucleus?

  Two charges, separated by a large distance, are shown below, al:qux 3pqmac hxb2 56+fong with the electric field lines around each chh u+ :3qa f25pxbc6qxmarge.

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 hi.,ekndf s(w oo.;f; horizontk,;i( offn;eo. hdw.sal 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 charge is bv,e(hoxplwskn ,n; 3: ent into a quarter-circle. What is the direction of the electrik, x,n3own:(pv ehsl;c field at point P?

  A non-conducting sphere with radius R carries a uniformly distributeiz zy ;8+imko*pyzo j-v.qy24d positive charge with charge per unit volume ρ.Poiyz- y*j4k;+pq2yo .v z ii8moznt 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 lines in a fielde0jx bso;.e;m due to A and B. What may be repr0;ebxso;m je.esented 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 by the equipotential l kh,0 c.amgp7/ev l(mvines shown by the lines i7(g k pa,0c.vemv/hmln 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 modele)bqb xk(.;qgt d with an electron assumed to be orbiting the nucleus in the first energy (tqb.x)b;gq klevel 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 an 4g- lac3 pp* gtdba36kaxn5h3vra1s9d Q are located as shown in the diagram. Some of the electric field lines due to the charges are shown on the diag rcb3gaa35p 6a3 9n4a h1-lvdgpksxt*ram. 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 represents how the electric field i *p:zrba 8cs2o5je;eand the electric potenobeszp j*i58c2 ;a: ertial due to 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 to the unit of electric pots yuuef/i f;mp8 r(o/0ential differenceos0p;rffmi8 uy u/ /(e?

  Two point charges of −4.0μC and 88.0μC are separated by a distance r=2.0cjhf y-g mut9+n.1rhv+ery9 9y m as shown in the dia + 1m 9g9yj-+huyry9 fetv.rhngram

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 energy.con1r :k-e7nr
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 represenp c 6 a+3w0;d j3oavgojh2yqhkg3/ 6bited in the diagraogi3ocwak626g jb03v/;d 3apyj+hhqm 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 eq- yjvw(z4(os kuipotential 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 chargeog6v2 bd su9,hfl1 gb- yj)/ch of 20nC are 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 a distance r are play2a j00h d c4kn;dtfh;ced in a medium with permittivity ϵ. The charges are then moved to air so that they have the same forcd 0y0fhand; k24t;cjhe 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 from the negative 1hvojg8 6ov9 yplate of two oppositely charged parallel plates placed a fixed distance apart. The potential di 8o9v1 goh6yjvfference 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 charge +e exertz6io: 31kg i6pi,pi2) jg1h:5hqwobwt( m ez y electrical and gravitational forces on one another. To the nearest order of magnitude, what mass must the 1 6) y5tk:i:2 gji(z,pwhwim6giq oheoz1bp3object have to be so that the net force acting on it is zero?

  Equipotential lines * iuzqp7b0wf;:zxj0/ x( dgofrepresenting the corresponding potentials are shown in the diagram, in an electric field. izjdfub g*qf o wxpz/x;0(:70
Which of the following is a correct statement regarding this electric field?

  Two positive charges-xt/xkmbrt7 i,n8. g s $q_1$​ 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.*aq ;f/sh.f 6 sr)pe :6gu/obwezc,ks Which arrow rh6zk,oa .q e cs:bu r/s; fp*wge/6sf)epresents the net electric field at the center of the rectangle?

  Four identical negatively cj1d) ,v:vnvxrq e 4p3sharged objects move in an electric field along paths shown as arrows below. Equipotential lines for the field are shown. Initiallynqj4: 3x1)drsvpv v,e, 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 distance d and cox6ydsa/ 3b 4jtg fl5j:*5txyc nnected to a battery of potential difference V bajt5 fjxlg c3dt*4x:5y6 ys/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 magnitude 48ikuyi;k 4s 3b/caqx 2C and 8C respectively are placed 9cm apart. A third charge ix3 u;4syk/4 i8cqk bias 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 equipz*gu w z mm3rok,9.y3zotential 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 the charges is small comcw0 056pn5d-iqeq k jlpared to the distance pdqlqe56n c5 wikj-00R.



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

  Estimate the speed of an alpha particle that has 7o2q:f*y2+ zrw5n sakkymjy0accelerated from rest in a uniform eljy0a 7y wz*+f5:n2mqko2 syrkectric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total e(u q-u q/ew7 j(fyke:3uj 7fejlectric potential due to two point electric char(-eu(fj37 /j7qju ee:kqy wu fges $q_1$​ 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 po*of b/k5ljuncbs8o7d7 vz* .oint charge as a f5c /7sk.* oo7 l*bnfuj zovd8bunction 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 20cm and 64u. ldtb g6uua charge of +3.2μC. Point A is used to describe a location 20cm from the surface of the spd 646. ulubtughere.

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 ar++xw fvrjn6x +e 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 placed as 4e jm 3ow23g-ujomu**wyx a0jshown on the corners of a square. Charges of +2Q and −Q, and unknown charges A and B are located 2jyg3 wxoou4e m-*ja*wu30 mjas 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?