The work done on a beta-minus particle when moving it from Y to X is found w;3 8 rsz5lqdo q2bdb)to be −10eV. Equipotential lilo q38)d; qzd2wbrbs5nes 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 mov7t3xvl l n kt+hxd-9-ned between two parallel plates separated by a distance of 5cm. The potential difference betwee-3dt + l7xlt9nv x-hknn the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamental u5a6g1 rkl. reforces in decreasing ordelu 6arg51ke .rr of strength?

  A beam of electrons enters a uniform electric field, as+)ibvs 7nt l+xh+ev5h 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 ver6-wci(rn f,nq tical electric field, represented by the arrows. Which of the paths shown would require the largest work to be done on the hydrogq,n-wr 6i c(nfen nucleus?

  Two charges, separated by a large dwr-f3 o8;szzhe1u w7o istance, are shown below, along with the electricfzwzu r o-w8;7sheo31 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 located on the sam h -gur/nw,9lbe horizontal lrn g/l,h 9buw-ine.

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 posiy9p b.54fc nhhtive charge is bent into a quarter-cp.bn59 h4y fhcircle. What is the direction of the electric field at point P?

  A non-conducting sphere with radius R carries a uniformly distributed pobltzt;5e .yq-sitive charge with charge per unit volume ρ.Point P is at a distancezq.ble-y ;5 tt 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 emsv8af4/l + sim8ytl *8e asx2lxp75 oquipotential lines in a field due to A and B. What may be represented by A af8ose42i8+pmly maxass l7 x5t8* /lv 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 equipotential liup-6p-e 7ruuztlj t6.nnj6w 2 nes shown by the lines in the diagram. Thjrw . l2j- npe-66 ztut76uupne 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 av x-,gr;,)dc/mehbkvn mfi -cdp +o:2n electron assumed to be orbiting the nucleus in the first energy level with a speed oipegc ,-k)c nm/:dvb ;hrfxvd 2-m,+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 abfq522;*yhid5f u5e wio -hngre located as shown in the diagram. Some of the electric field lines due to thenfuqw- ho5d hg ;*e ii25yf25b charges are 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 graph7s m rmog;5y2fbu9:qts represents how the electric field and the electric potential due to a hollow conducting sphere vary with distance from the center? The origin of the graph represents the center of ;urq m2 got5 yb9:7mfsthe sphere.

  Which of the following is eq6, - fmsn5)xwjh o ( dphjqydkc:9+(rduivalent to the unit of electric potential differencq-(wjkcj+6p xyo ) ,(fd:srdh 5 mh9dne?

  Two point charges of −4.0μC and 88.0μC are separated by a distance pdmsyf:e4b;s9 e16xk r=2.0cm as shown in th e :1md6s sbex9;fpk4ye 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 potential energhpxbx92+;j s; r 6xmyiy.
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 andz(vw7)-a ucdc four points on equipotential lines are represented in the diagram shodcc-w) u7v a(zwn.
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 charges.jwht y, u,ev);

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 actn/e hzngi4 or3(94r 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 placed inyt* lvey ) k 5g.,n5 9nl)qs7mt-kuztz a medium with permittivity ϵ. The charges are then moved to air so that they have the same )ynz sen kg-t97yquz)k *lmlvt t5,5.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 releasp,el+n d ;p83rry9rueed from the negative plate of two oppositely charged parallel plates placed a fixed distance apart. The potential difference between the two plates is V, and the electron reaches the positive plate with a speee8r,9 peupnd3lrry ;+d 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 c -atpag9m w 24ndv.0byvi*8efharge +e exert electrical and gravitational forces on one another. To the nearest order of magnitude, what mass must the objevf y v4w8d m.-tb9i0aa2*gpnect have to be so that the net force acting on it is zero?

  Equipotential lines representing the corresponding potentials are sho jzq g(081yjfxk 2pzb-wn in the diagram, in an electric fjbpg1jqf z02yx8( - zkield.
Which of the following is a correct statement regarding this electric field?

  Two positive charges / hpo/:ksz ploj. 2-cuym,je; $q_1$​ 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 particgz gmaf 2xtv2(v+f*5yles are at the vertices of a rectangle. Which arrow represents the net electrv(fam2g2 +t5yfx * gzvic field at the center of the rectangle?

  Four identical negatively charged objh y osha-zz ,-p8 w*8 fpivefrz,:h3d7ects move in an electric field along paths shown as arrows below. Eqh p 8-:v z,8h3ri-esazd o*zfy,w7phfuipotential lines 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 by a distance d and connected to a battom g5nq87dlghr9 y4z: m2jy: qery of potential difference V as shown in the diagram. A proton released fro yq 59hgznjym:q82 mold47 rg:m 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 arz ,vu,- /pj-q4kkxrb,v ; sjsde placed 9cm apart. A third charge is introduced between the two charges asdj,; /-kj -4z, vuvxq sbr,spk shown below;


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

  The diagram shows equipotentia4x.ts )6vnvfohknpx* )d h; )nl 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 compared to t4v;l; g4wn1ndami.iahe dista1 gw ;nvandl4m. 4ii;ance R.



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

  Estimate the speed of an alpha particle that has accelerated from rest in a unifvp k k8xdjq7 6.(qnnt7orm elnkqt87xvn(.j p67kq dectric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the va3bs bf 3fv0dr0riation of the total electric potential due to two point eled303bbrs0f vf 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 eloj6jpw k-t m:6ectric potential due to a point charge as a function the distance r from its center6- p6w jo:jktm.

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 ( quqlgrvj g*r .v865mradius of 20cm and a charge of +3.2μC. Point A is used to describe a location 20cm f8g.rqrlu(gjqv *v6m 5 rom 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 dist6vadp)s tx rmtuz.*-.ance 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 corners of a sq.4spsoq9dw gn)r0/9a a bqx r2uare. Charges of +2Q and −Q, and unknown charges A and B are located as shoda.o )9sq2gn0/9rs 4xqaw bprwn 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?