The work done on a beta-minus par18w gm;v)xd rlticle when moving it from Y to X is found to be −10eV. Equipotential lines are represented by the dal)mw v81d;xrgshed 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 ofh(n9nji*1 pc d 5cm. The potential differe9d c*inh( npj1nce between the points is 50V.
What is the average electric field E?

  Which of the following correctlf*a zwrp8*g91 z )fdn* nit *w0m)jrvay lists the fundamental forces in decreasing order of rdvrif9ajzan* w01 )nm*pwg)f8z** t strength?

  A beam of electrons enters a uniform electricf6rzi/ mi/ ef0 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 iw w*j02lm/ avun a uniform vertical electric field, represented by the arrows. Which of the paths shown would require the lar lj/*wm0 2vuwagest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distance, are shown below, alvcg zoy )s 0f90+tm1ma9 wg-sbong with the electric smgsmo0a90gz+ b9w cy )vft1-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 onl 5tk/ty4saeyuk*vkt.o 9t5 5 the same horizontal l5 v4ya5ku ky el9.5ot stttk*/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 positi1 b (ebkc rgfhbfv0::)ve charge is bent into a quarter-circle. What is the direction of thvr0bb1 :: b ceffkg)(he electric field at point P?

  A non-conducting sphere with radius R cax kd jw)49bw2k v;6sywrries a uniformly distributed positive charge with charge per unit volume ρ.Poinjs)yv x ww6bw2 ;d49kkt 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 -7 ,i+prl ddmcqks80 qfield due to A and B. What may be represented bq,8r+dpsq k7lc-d mi0y 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 by the equipotafh* zxjr5*t.6d x a2gential lines shown by the lines in the diatxh *fa.zgj5ra x 62*dgram. 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 model c/k(k(1 a-cx n)bhaawed with an electron assumed to be orbiting the nucleus in the first energy leveaw kax/1-b(a( cnc hk)l 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. Some of : fmazrl+;95 artco(vthe electric field lines due to the charges are sh 5 ;aa+(r9tf m:ovczlrown 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 represent + ayu)(kmz-* oebbnz9s how the electric field and the electric potential due to a hoo+b(emza bk*uy zn 9)-llow 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 ofzh ydlw*evbk4 zpuy9wu o- 014f 2-3yf electric potential differenceuu 40* yd-f4-e k13wy blpwzzovhy92f?

  Two point charges of −4.0μC and 88.0μC are sepadh4wer5v: p/big0c/crated by a distance r=2.0cm as shown5 p cic:/reh/ dwgvb40 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 potent0pquf t:k,ubomt(5hup *3a - oial 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 lkt hikif e58)8tz7y)yines are represented in thet8zek8ti5fyiy 7)hk ) diagram 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 two u)c1e3i ; cdk *w;hgpe7i* wavcharges.

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 i1 i oguif*. v*3e)3kqplzk,c 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 in a m y c1nzzz6zxx)7dgv9/*d6fyyedium with permittivity ϵ. The charges are then moved to air so that they have the saydx z6y1d zv)c g/nx zy6z9*7fme 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 p zzk0wo, (uu6of two oppositely charged parallel plates placed a fixed distance apart. The potential difference between the two plawu 6ku(,0poz ztes 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 electri7(42ojlx wi tho 0;wrical and gravitational forces on one another. To the nearest order of magnitude, what mass must the object have to be so that the net force actinj iw7x4(tolo0wi 2r ;hg on it is zero?

  Equipotential lines representing the corresponding potentials are show 4: 3hgo+zx*k .b;tmd/jcjrfun in the diagram, in an elecdfgr 3tjb.h4c:xu+jkomz /; *tric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges f ql71 m4dz*mr$q_1$​ 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. Wh5h9+o(v z+oiwbez2gxich arrow represents the net electric field at the centerg(2wzv 9zibe+x5 oo +h of the rectangle?

  Four identical negatively charged objects move in an electric f ),9( ;+yjb.a hcf3ay .dgpmea, e ybe-:zcqirield along paths shown as arrows below. Equipotential lines for the field ar;cb-ag :y3.p()b. a ,myed9j z,+hcaiqyfeer e 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 *qb-3u qknxai (5b*x ia distance d and connected to a battery of potential difference V as shown in the diagram. A proton released from the positive plxqun bx* (3*abkiq-5iate 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 place 61*lu ;yygzehd 9cm apart. A thirdyyz1h*e ; g6ul charge is introduced 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 to0. l3xfca.nqp0 dskor /v;xr- 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+jr / cip (co2d6z3onp charges is small compared to the distance R.(oppcjdnc32 z6+o/r i



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

  Estimate the speed of an alpha particle that has accelerated )t*8 i.s/or fnxygjh 3from rest in a uniform electri*j yori.gfh3t/sxn)8 c field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potential due to two poiaet-.odhtq n3nt7 4oe-j:hz :nt electric chargesq-aozn 4tdh.netj7- oe:3h :t $q_1$​ 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 pof,df4 fc0upc 8tential due to a point charge as a function the distance r f08 fcfu 4,cdfprom 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 +3.2μC. Point A is ussgwgkl 8/w2dy4ja,*o yxdq :-ed to describe a locatiowdg x 2a/wl4*oj,kyd-:g8syq n 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 septuo3 xy.x .lj0arated by a 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 ond rt(5qw 2iy uc9cepiumo3vb. j/h 9.2:mkj2r the corners of a square. Charges of +2Q and −Q, and 3m9. / wrmj( yv5 u.rkiub29tj:pic2q h2coedunknown charges 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?