The work done on a beta-minus particle when moving it frxgophv,cw 2;95 rm:a qr0m6jmom Y to X is found to be −10eV,9r cm:a05r ;jq g hpxmvwo2m6. 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 plates separated by a distance oe* j thgdl+-u1f 5cm. The potej*+ h1d- lutgential difference between the points is 50V.
What is the average electric field E?

  Which of the following corr(i0d98kbm 8- t 6azbdancwp6q ectly lists the fundamental forces in decreasing orde06tdmwadnb8k-ic( 8 b9 6qaz pr of strength?

  A beam of electrons enters a uniform e h;1kt*vkhntli ;a, yz0x7( lflectric 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 ih ju(j6,*q:ci)lii .vwge g ;zn a uniform vertical electric field, represented by the arrows. Which of the pat*;qc6.( :vg iwigejjlih) uz,hs shown would require the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a miua7(5oh uz44u .oy klarge distance, are shown below, along with the electric field lines around eacz4mau.o7y(io4 uuk5h h 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 o8x. ggx0:e poa6-mln :l04g zal3seacharge of equal magnitude are located on the same horizon6l48ax ml a gpso3:a.lze0xen:0og -gtal 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 i8zl y u;jjv6vrv0nay(mb1y/( s bent into a quarter-circle. What is the direction of the electric fie jmb uyr6/0z8n ylvv(1;ya vj(ld at point P?

  A non-conducting sphere with radius R -jqfaqx.c; 5z,i-ru p3z d o)c.p-kt ncarries a uniformly distributed positive charge with charge per unit volume ρ.Point P is at3 5dprq- ij;zxz)poc.. fucn-a ,qt- k 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 eqkzh kn, f0qehk,fh/t): e/7xauipotential lines in a field due to A and B. What may be represented by An)zefke,/7hfh/ktqa,x h: k0 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 fm p0s,lx1tuhj56ci:*a ivy 9rield represented by the equipotential lines shown xpjlai: r5s1tyim , *u90hc6vby 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 with an electron assumed to be orbitrmi2w hjcb 146ing the nucleus in biw r4c21jh6m the 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 located as shown in the dl mp ;5g81h8nq ,ndvkyp 3w3ctiagram. Some of the electric field lines due to the charges are shown on the diagram. Ppl,38g;kyd 351n qcmn8p hwv toints 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 and (1l;w3whzj mtthe electric potential due to a hollow conducting sphere vary with distance from the center;wj mtl1w3 z(h? The origin of the graph represents the center of the sphere.

  Which of the followinv a 5zsnqsd;7h/*rq b*g is equivalent to the unit of electric potential differenczv q;hqsb/5d**s7ar ne?

  Two point charges of −4.0μC and 88.0μC are separated by a dow+n4amhta df,e*5x 5istance r=2.0cm as showdo a tme5f4n5*,w a+hxn in 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 potent h5w lzdkfbab;-8 )c(cial 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 equipotentialm/jl6h,s u l0i lines are represented in the diagrj, /h 6ilmlsu0am 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 equipotential surfaces of ttl 1i rqe4u;e6k 3f(o1d rjs2uwo 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 are held at a fixed dizwchx r;nvn -c,a*fgoe 8i:rw7,+ 8g pstance.

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 in a medium with2dlk ;rzgs uqs -du/:- permittivity ϵ. The charges are then moved to air so that they have the sameus :-rs2uqdz ;- kgd/l 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 oppositely charged paralzg drvpx 3 2efid18yp9r *o5d7lel plates placed a fixed distance apart. The potential difference between the two plates is V, and the electron reaches the positive plate with a speed *vrpifpd 5xz8 dyd ero2179g3v.
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 gravxgq7 fjs 56b-eitational forces on one another. To the nearest order of magnitude, what mass must the object have to be so that the net force acting on bsx7qf65ej -git is zero?

  Equipotential lines represent lqtjioswl1 d;6)8u5 ning the corresponding potentials are shown in the diagram, 85s1 6w qulnoit)jdl ;in an electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive chargesw(zp.+yj2; t :mqlka v $q_1$​ 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 21xbd 3tyin n*at the vertices of a rectangle. Which arrow represents the net electric field at td3ibt*2 nnxy1he center of the rectangle?

  Four identical negatively charged objects move in an electric field +r:pi mclj3 ncoz6 i;0along paths shown as arrows below. Equipotenj n 3c 6ipl;m+or:0icztial 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 a,k . 5y/ brc- mlnyq5/k(lonbbnd connected to a battery of potential diffl5b/(myk nk,/ 5nrqybco b -l.erence V 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 maf gl0 dbmzzsy *vczq -1,g8(2pgnitude 2C and 8C respectively are placed 9cm apart. A third charge is introduced between the two chz g,dzm1-bz(*q2gf0y sl c8pvarges 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 charg;sva u*xdv5y8 e.
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 ovbbjty:8g 8a,q ux5 2the distance R.u2a88vqgobj:tbxy 5,



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

  Estimate the speed of an/ba5+xh3l goxerzcv)c h83c1qq3 bi8 alpha particle that has accelerated from rest in a uniform o h3+58q3lbi br)xhgc13cq zxvc/8eaelectric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric poten)yu0r(2rpti2yz 9zcmrkt4 ;etial due to two point erti4 pe zr9t;)cky 0yu(r 2z2mlectric 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 potent2 rw)ji4o9 ho7f;kpgie3j; azial due to a point charge as a function the distance r from );;h w 7orj2i4ogiek93azp fj 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 radimb1zdfcl8m x2s1 bace7 +7 6kpus of 20cm and a charge of +3.2μC. Point A is used to describe a locax1 pml 1cbf6m7s+b2ak 8ce7dz tion 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 distance r askozd -+ei 6y1m 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 placea4+i3wh ok ck6d as shown on the corners of a square. Charges of +2Q and −Q, and unknown charges A and B are located aa 34wikk6+hcos 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?