The work done on a beta-minus particle when movi o- 8z-hmxozm.1xm3d 2eenmx4ng it from Y to X is found to be −10eV. Equipotentiaz2om1enx.x 8mmexm z 34d ho--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 parallel plates kk r6z2nsj34e ijof5;separated by a distance of 5cm. The potential difference between the points is 50V. fn;5k3k6jj 2rizso 4 e
What is the average electric field E?

  Which of the following correctly lists the fundamental forces in decreasing ordrz(*7f. tji8c zlg+bter of strength?lifj+7.tg(zt z8 c* br

  A beam of electrons enters a5 :.fihz7 wdmr4vgk (4 v16ikozyap:s 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 sta7-cng j9b3mzjk*0j xu 5hb qb9tionary in a uniform vertical electric field, represented by the arrows. Which of the paths shown would require the largest work to be done on the hydrogenk 90j- jucb3qbx7g bjm5h*9zn nucleus?

  Two charges, separated by a large distance, are shown bel0lz yi ewk.8i0hxdi;p5( opdxis 6+g8ow, along with the electric field lines around each chargo8wxk0 gpi;(5epd0+idi8 y.h 6slzixe.

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 samel6d2yxef )l0j horizontal l)ly f62 xedl0jine.

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 distqiv3,uh ig)clp xru5c 1qn)/:ributed positive charge is bent into a quarter-circle. What is the direction of the electrc)guuq)p,xvi1i5q / 3hcln :ric field at point P?

  A non-conducting sphere with radius R carries a uniformly distributedkomy r* uhxw9*fyn147 positive charge with charge per unit volume ρ.9yrhk7 * nm*yw4ofux1Point 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 field due to A and B. What mi5cmr523x4n; ooyra may be representedr;o3o52a5yr 4mmx icn 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 r3 x wdyh3fkp7 4(ha(pwz yy3k45ax9 afpd78h by the equipotential lines shown by the lineaw(xyx7p7a fd 4ky8kaz5 f h9dhwph333p y(r 4s 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 ebtw o+:+ +9zzp+kmtrx-l/ffnlectron assumed to be orbiting the nucleus in the +++:rb +kxzln f9-pfo/w tmtz first energy 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 and Q are locp 5qv:u 2vhk/-jy u0kulg4 r8uated as shown in the diagram. Some of the electric field lines due to the charges are shown on the diagram. Points P v2qvuuu5k-/r4klj8pug:0y h 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(;bkxcw, xxf3- d1njg represents how the electric field and the electc,dx j;31xkwgnx- f( bric potential 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 potential drx7 0ln6;27c uijk czyifference?l;cj2n 6 c 0r7u7kxizy

  Two point charges of −4.0μC and 88.0μC are separated by a dista s9idms 69so9pnce r=2.0cm as shown in the diagra6midsssop999 m

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.huj6 *lguk)ddd m eld/5lu3-)
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 representep kh,3svwj56l a:iv( xd in the dia5pxkv6ajh s: l(w3iv, gram 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 e(g4r vhs*a q(xquipotential 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 a5+p wjkyo42 wore 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 discnrlofkz(hz:(r84 lc)6gwe7tance r are placed in a medium with permittivity ϵ. The charges are then moved to air so that they have the same force between them an gehz:kr cllwo )4f6c(8(z r7s 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 chargego.jh9e;b iur*;oh7 x d parallel plates placed a fixed distab*e;og; h uxrj.iho 97nce 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 charge +e exert electrical and gravitatiow2ql9ttxrr9 d3 /rgj)nal forces on one another. To the nearest order of marjtd9 l/ )t2grwq39xrgnitude, what mass must the object have to be so that the net force acting on it is zero?

  Equipotential lines representing the corresponding potentials are shown in the z 4by:qtw +1 mweagn3:diagr3 : wa4we:n1 qy+gzbmtam, in an electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges z5 gxd5+ai 3aw .quy:i$q_1$​ 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. Which1,1gsev o(pyy arrow represents the net electric field at the center of the rectangl y1 oepsygv(1,e?

  Four identical negatively charged objects move in an electrqlzbe (w-u9;r bw-7b i*acvn m5d3 5suic field along paths shown as arrows below. Equipotential lines for the field are shown. Initially, all fouv37- n qb9e5(z*ucw5b mbrusilw-;d ar 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 sepa .,e*nzg :i* hq.ao+)9qvj *xaadj4 e( pewvgtrated by a distance d and connected to a battery of potential difference V asjjv**t hg*iw..z4:gv e9q (+ao, nxadaeq)p e 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 2C and 8C respectively are placed 9cm/km a jhr f*,t8c0usk4 apart. A third charge is introduced between j * 0hutfcrm,a4k/ 8ksthe two charges as shown below;


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

  The diagram shows equipotenu295 p:c: ykjsvykgx 6 1o+pvitial 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 sm2qtu c(62dk/oany fhpoo9w0-owk01(m/ld nball compared to the distanc-kno6 d1a02qou(k t9/y(/m nowohbw0ld2 fp ce R.



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

  Estimate the speed of an alpha particle that has/ gtx*x*pm iwta v9c** accelerated from rest in a uniform electric fiec9vi/twx pt**g* m*a xld E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potential due tx79 os2r ffj;co two point elf jxrf 2co97s;ectric 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 point *)6rbiks0kfhw (n s+vcharge as a function the distance r from its center.if0sk6 hsr*w)+bkn( v

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 +wird )ztjobqf,v6 ww5asa;j520 r0 aof +3.2μC. Point A is used to describe a location 20cts ;j5rwz+qww)dro 6a0,0 a5fiv2jbam 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 separated by a distance r joh6hz3itc)8 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 cornermu7glfg/ m*d 2xj ( t*7 wf0r9ox)jfmgs of a square. Charges of +2Q and −Q, and unknown charges A and Bgg7mg0x *jf)wufr/*2 f9xd 7(l mojm t 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?