The work done on a beta-minus particle when moving it from Y to X i)3a * brzsszy*s found to be −s ryzz*a)3s* b10eV. 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 separqsn .3xdlk: s.ated by a distance of 5cm. The potential difference between the points is 50Vl.dk 3s. n:sxq.
What is the average electric field E?

  Which of the following correctly lists the fundamentnqg*6zm5k2 n cal forces in decreasing order o qg*zm5 n6nck2f strength?

  A beam of electrons enters a uniform ev 3oitet4oogby o8:r)n k8 83plectric 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 in a uniform vertical electric field, repv4pl roln(y:j4* rz/r resented by the arrows. Which of the paths shown would require the largest work to be done on the hydrogen nlylr4 /jpv *r(r :4zonucleus?

  Two charges, separatedi-*zv qos(0l x by a large distance, are shown below, along with the electric f -io(q slvxz0*ield 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 ch*7zo0e -vaygparge of equal magnitude are located on the same horip*7egvyoz -0a zontal 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 ce 4geph8n c(3is bent into a quarter-circle. What is the direction of the electric field at point pe h8c(gcne 34P?

  A non-conducting sphere with radius R carries a uniformly deqfst) dy) c+6jp t6o)istributed positive charge with charge pdct)6fq) ospty) ej+6er 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 equipotential lines in a field due to A andyfusy jk33p+/)rd; th B. What may be represented df;r+p)u 3t3jyhy/ skby 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 equipotenm1f5(tqsyh,sw vv 2q1 tial lines shown by the lines in the diagram. The electron’s path iq2s h1q(w,sv tfm1y5vs 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+ktzvzk -. p-e to be orbiting the nucleus in the first eev.p -t+kzzk- nergy 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 dia (s a4ck92vnc9n by2ehgram. Some of the electric field lines due to bnn ce9yhk as 2v92(4cthe 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 represents how the electric fa:f5g/+dyn2z + 5rw1i jxa8 gtdhhs9mield and the electric potential dumdj2 it ++h59n ay:d1s5harg fx zw8/ge to a hollow 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 95iysz-ts n7j2a:ffom uc3j7 to the unit of electric potential difference5-c7ssmt u9 ayfo2zin:3j j7f?

  Two point charges of −4.0μC and 88.0μC are separated by a distance r=u /*v31qf fqqg2.0cm as shown qg* fu13f qqv/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 potef zj 2.rilpc1.wp4db2ntial 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 5ll:z554h- x hjmxsnkd0xdos/ ,t mc 1are represented in the di0 ,:h zd5-jln4 1 sxlschdm5komx5x/tagram 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 charg5i ggjiv4 0ym-y9tvez;in3n3es.

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 :v r0bikk. jzotyyz;2+ ) n7i* efjn(uat 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 are placed in m3us4 h;- uv nj1jz.ohq2hpj/ a medium with permittivity ϵ. The charg.hhoj-uhjvq4zs mup nj3 /1;2es are then moved to air so that they have the 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 7cy a)zxcnta 3)0w4st two oppositely charged parallew sa7 0))tyxcz34cnatl 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 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 art++ 0a/krip electrical and gravitational forces on one another. To the nearest order of magnitude, what mass must the object have to be so that thear kr+pt +/i0a net force acting on it is zero?

  Equipotential lines representing the corresponding potentials are7ts 7d:qgc 9qp 8kb+wk79ukp r shown in the diagram, in an 7t d:9kpps7rqckw+ 7uqb8g9kelectric field.
Which of the following is a correct statement regarding this electric field?

  Two positive chargesu rkpsti:5g0sj92nhpix )0 y1 $q_1$​ 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 sn3xh )xqj1 mle 5262nx1psf uthe vertices of a rectangle. Which arrow represents the net electric field at txufs xx1lh2 jsnq 2m)n351 6ephe center of the rectangle?

  Four identical negatively charged objects moo*gl v e(c9a(kve in an electric field along paths shown as arrows below. Equl* cko(gev 9(aipotential 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 (yj77a yy aa:zd2v-j.pon6 agby a distance d and connected to a battery of potentiaaayd2vzn agj7.7( j-y6pao:yl difference 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 magnitude x x,h3 fuqjt+v ok ngk5 ;izn(2q-6ia32C and 8C respectively are placed 9cm apart. A third charge is introduced bqh,5k2unq(;+z3t-ixjng v a f 3o ikx6etween 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+xi -;h;6c qhx5 owycdz) x,cq 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, e(8fc(duxr 3( f(v7f ea+bp fz-v nc;ithe size of the charges is small compared to the distance R. fc3(z 7f( ;fd 8p(+eabxeuvnfcr(v-i



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

  Estimate the speed of an alpha particle that has accelerated*o4n fc(pi q :/kd,g0;j qpxsq from rest in a uniform electric fieo pgq:ik4fj /;sc*q,0pq(xndld E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potential due to tg+s z8xvj+fd:kxp u.7wo point electric chajzx8+.d xf7vu:k p+sgrges $q_1$​ 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 xs8 49rv adz3spoint charge as a function the distance r from ixaz8s s94 rv3dts 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 used bxrglx+)dp.u mf;3qwp 0 d3nh(sb((y to describe a location f+byb( xd; pn lh30)pd(r (q.wxm3 sgu20cm 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 dis yimj,ojy4. c;s.u- gckj*ew-q-dur0n np m)+tance 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 comsvc )z (zr;;krners of a square. Charges of +2Q and −Qzkcvzsm; (; r), and unknown 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?