The work done on a beta-minus particle when moving it from 6 x0atull27w zY to X is found to be −10eV. Equipotential xtz 0276ll waulines 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 separated bs;.sgusm um 74y a distance of 5cm. The potential difference between the poingm7; s4 .ssmuuts is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamental forces in decreahuyd 3r mitf+7+q+0ixsing order of streng3+ x+h7q+tu y0dimi rfth?

  A beam of electrons enters a uniform electric fg2u k613 ;vptxrk gdm)mw8j:ijex5t /ield, 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 unifordso by5.z4l1w m vertical electric field, represented by the arrows. Which of the paths showndzs5 owy.41 bl would require the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a lar*)in)s+ge 74dxckwggjw/*j gsx ;,x jge distance, are shown below, along with the electric field lines around each g )xk ec7wxjgs4djnsw/;*,j) +xg ig*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 located onc+3 ufp ipg(m( tbxx98 the same horizontal g((+px3f pxm b8t9iuc 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 chabibcg4obv)2q *6ax vnp+o-( zrge is bent into a quarter-circle. What is the direction of4bbvobc) v-+6 zo2nipg* x(qa the electric field at point P?

  A non-conducting sphere with radius R carries a uniformly d 1;rc l0p)i6emsir1u mjp3qc)istributed positive clqer31ci0mp1i;6) jmc)s p r uharge with charge per unit volume 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 equw 4ni1r;g 7q+/7gzvyu5 ltnt wipotential lines in a field due to A and B. What may be represented by A a4 wu ywn751/+qgtnzrl v7gt i;nd 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 2lrok0+p ngr*equipotential lines shown n*rkp2rlo+0 gby the 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 wialt-c6:amj)z hz +t1r th an electron assumed to be orbiting the nucleus in the first energy level with a spe+-:r1thz6 zt amlca) jed 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 chargesndd b 1qc:3;vu 2Q and Q are located as shown in the diagram. Some of the electric field lines due to the charges are shown on the diagq3 dnduv; 1:cbram. 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 represew9dcgl;()fg pa 3- bsy h5mxr)nts how the electric field and the electric potential due to a hollow conducting sphere vary with distance from the center? The origib9x gm5w )lyrs )-hp;g (a3dfcn of the graph represents the center of the sphere.

  Which of the following is ej l .g:v7n4opz(.k r)hf- *jabdx7tmmquivalent to the unit of electric potential difference?r -zdmvjt (pka7olmg.n j: )b4 .hxf7*

  Two point charges of −4.0μC and 88.0μC are ek *,yk*g )fy2ll g2p ev13fposeparated by a distance r=2.0cm as shown in thefky2fg3v2p g *),1leekply* o 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 potenti7jim ctr6odnu+m;fp xys*6- gb z -/l.al 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 represented in th 2c 3 6qg.5aimt3xroaulzog+ .e diagram shown. tq arx. gi.lo362m+ co53zuga
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 ,uudq +es usu(d+.9w9cbgop se:)9wv 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 chomedsz 1+t)tg.-0k(bmy*c bnarge 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 puuwyv)g57 v +(9wqauare placed in a medium with permittivity ϵ. The charges are then moved to air so that they have thu(7)gp a+yvuuv9w 5 wqe same force 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 plate of two oppow14k2hk:n i5bq1b v/wx9tj l rsitely charged parallel plates placed a fixed distance apart. The potential difference between the two plates is V, and the electron reaches the pk:4ilx5rj1 v 19wtkbh/qb2nw ositive 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 objy2)tl832l i,jejudjs ect with charge +e exert electrical and gravitational force 3ti8edj s,2jllj2u)y 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 correspond jm*55dowgc 4ging potentials are shown in the diagram, in an electric field.w45g 5 gdjomc*
Which of the following is a correct statement regarding this electric field?

  Two positive charges b8vavam 9 5ot6a) j-rjd,sm.q c4j,zv $q_1$​ 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 ga(*ka965fy*bko l a/gqmyx9wp,. kirectangle. Which arrow repres.yx p6kkl gqka,*iym b g*959waaof (/ents the net electric field at the center of the rectangle?

  Four identical negatively charged objects move in an electric field x2al 0z)tsqg .xw1.ccf)bey8y s )z*ralong paths shown as arrows below. Equipotential lines for the field are shown. Initially, all four objects htz)sqgr)) f* bwacx 8e2y.zyl 10.c sxave 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 connected3d(lf p.;1 u4 yjlsoqk to a battery of potential difference V as shown in the diagram. A proton released from the positive plate gainsklfyjsd u3lq.p41; ( o 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;exi1)evclkbhv6y, )p;zy8m4je z: y 8C respectively are placed 9cm apart. A third charge is introduyexye)b 1:8i zkhy4 cjp6v;zel); ,mvced 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 lines due to a point chargeci +vw weaj057qh-sz /36 tcrb.
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 smalt42 )+,6 pywgboz lx 4ith1aonl compared to the distanc w1yogh, +zliat46 n4)2txpboe R.



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

  Estimate the speed of an alpha particle that has accelerate/8ecjs- )5 o,1 v:nzzdkllg syd from rest in a uniform electric:5eyg nvkd lz,-lszj/1 o8sc) field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potential due tosxddl v ,93cruv 19yp gls5.b2 two point elesvv1 cdud.5939,rgxl l2b yps ctric 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 ch-gb3dmm;pw a fmg2 -c4arge as a function the distance r from it;mgd wm2f4 p3agmb-c- s 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 ccxfx4v g8+ek4ws 4x5has a radius of 20cm and a charge of +3.2μC. Point A is used to describe a location 20cm from excc4w4vfg4 85+ ksx xthe 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 gykrp b(ogvnz g63dw1 7tnr.f*(82q zr 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 corners of a squar/adnb a n/7;lte. Charges of +2Q and −Q, and unknown cha/7al tbnd;a/n rges 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?