The work done on a beta-minus particle when moving ia .b 7 /dg2b7dkuqrp;rt from Y to X is found to be −1; /2d 7r.drqga7bbkup 0eV. Equipotential 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 no*-j1pbp w,p plates separated by a distance of 5cm. The potential difference between the1pbjnwpo p*-, points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamental forces in decreasiip z(/xb 4j32allgt w1ng order of (1b ltjlp/4igaxz3 2w strength?

  A beam of electrons enters a unifshev9f g8 lxwem72 g777zzx*y2 wb0vkorm electric field, as shown.



What effect does this field have on the horizontal and vertical components of the electrons' velocity?

  A hydrogen nucleus is w f8h km .lgkdj2 q3.i1f(s 9malw2u5dheld stationary in a uniform vertical electric field, represented by the arrows. Which of the paths shown would require the largest work to be donewl58w..dsq k2 djamu2hm kgl13 fi(f9 on the hydrogen nucleus?

  Two charges, separated by a large distance, are shown below, along with th0f;t5,i ma(mwhz nm+ be electric field lines around each char+mmaf 5h ;,bt nmiw0z(ge.

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 thnv5/x ;,wnzn2i t x)3 1imejmme same hori 5,wn ;3z2nxnxjvii/) 1emtmmzontal 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 uniz,ueg8k*q 1wu+l1 rf.mi fu,lformly distributed positive charge is bent into a quarter-circle. What is the direction of the electric field at pm feul .+1,l1uf8,zw ugqk*iroint P?

  A non-conducting sphed yv-0 tk60 ;fu4zt+f0rajqdrre with radius R carries a uniformly distributed positive charge with charge per unit volume ρ.Pointaq0+t; ydj4k-ur6dffr0z vt0 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 theivg*k imhc35r 51f+wy equipotential lines in a field due to A and B. What may be representedf*m 5r+kwigivhy5c1 3 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 fiel/ vt8flla )h.doyow.2d represented by the equipotential lines shown by the lines in the diagram. The elowl.fv o2a tylh) 8d./ectron’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 electron assumed to be orbiting the nucleus in oio;1 kzz+if3the first enero k;io3+i1 fzzgy 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 located as shown in the diagram. t; a+8u,f*z pbl9vdqo Some of the electric field;+89qotf l adv,up*bz lines due to the 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 graphs repre7(8nc; n:m2dstxu ybdsents how the electric field and the electric potential due to a hollow conducting sphere vary with distanccb:278mntx(su ddyn ;e from the center? The origin of the graph represents the center of the sphere.

  Which of the following is equivalent to the unit of elec9tm*ku.c.hzp:) ixw+v/xmki tric potential differenc.w9zkm/t cx+u vih:)xm*.i pke?

  Two point charges of −4.0μC and 88.0μC are separated by a distd.oo08qk*r 1r yqf4t3p ml*0bt bq;vsance r=2.0cm as shown in l30*bdr.q ;b0ormov q8tyq4*1 tspfk the 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 pote: )xq 5m1axfjnntial 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 equip fuq0f.s 8e4irotential lines are represented in the diagram sho qfr0ufse 8.4iwn.
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 surf/n6j t gk8.wytdtk 48qaces 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 20n7ia xck2n :o5j2po p7uC 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 azx *up706bhx:htbkgdp0 wp goc )7)i6 distance r are placed in a medium with permittivity ϵ. The charges are then moved to air so that they have t pz7uxgti0 kbwb*g7hh66 pp)0cx):odhe 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 t ))1u mzez)jthhe negative plate of two oppositely charged parallel plates placed a fixed distance apart. The potential difference between the t1methzz ju) ))wo 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 ob qskbk,* ,5ewyject with charge +e exert electrical and gravitational forces on one another. To the nearest order of magnitude, what mass must the object have to bkq,sw,y* e bk5e so that the net force acting on it is zero?

  Equipotential lines representing thb/usl*5.ja-je c sbi:bj o 3j5e corresponding potentials are shown in the diagram, in an u j*:-s5jsb/. jleo3bbja i5celectric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges ;x+ x;/lqlcffsgjs/o9y1io v4v za .5$q_1$​ 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 vert,lc: l oc;nw*mices of a rectangle. Which arrow represents c:cm now; ,*llthe net electric field at the center of the rectangle?

  Four identical negatively charged objects move in a2s)l q8 y6n m1v+27 gnxfo8(ebuuwdjk n electric field along paths shown as arrows below. Equipotential line2s6u)l x gqjk+8nm7bw o(v2 ed8nfy 1us 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 -)f5heece77:)jo*g -efflr1 nlyv qg battery of potential difference V as shown in the diagram. A proton released from th)c le*)eqengj- fl5e77g 1 vfhro -yf:e 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 8dfa)ay* uw0xia l0k 8+C respectively are placed 9cm apart. A third charge is introduced between the two charges k0 u0wi8a)f*+a ldyxaas 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 f xmt3 8eol7+mpoint 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 s.nlp *y ,a 5*oju8b4wojhsoy*o j dp4;ize of the charges is small compared to the dista;s** .ao45*jynlo pp8b odhjw,joyu4nce R.



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

  Estimate the speed of an alphec/, 38p7fqbbr/ qxqf)nbl 4ma particle that has accelerated from rest in a uniform electric field p/ebl7qqbqx3b )r/ffnm,84c E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation oki z wxaki h5btc;n).jm .:q06flq9 9vf the total electric potential due to two point electricb w.haix:j l .zq6v) kkt0;cq9m95fn i 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 chaxm :;b2 e;c* ylcbqta4rge as a function the dist*b:c bmt ;;ecyl x2aq4ance 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 a charge of taa12c dr,8 bn+3.2μC. Point A is used tocd1 , a8b2rnat describe a location 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 separated by a * em6o7c vg)8by 1hkvt8k+jiv 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 corners of a square. Chap9(:jriq1fnl s5c*lz(cd gcj3(+ogv rges of +2Q and −Q, and unknown ch9n(gljc o1+ 5czrsf gjc 3l:pq(vi* (darges 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?