The work done on a beta-minus particle when moving it fo0 5/h.0dkkb t f vbxo74r4aghrom Y to X is found to be −10eV. Equipotential lines are represent7gktf.kbax 5vr40o 4 h0hodb/ed 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 plate(s u0l gs*j- a5f;thsms separated by a distance of 5cm. The potenf(t sl0;g 5*jssm -auhtial difference between the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamenta7(ykz3 w1rf,zxrfs,bl forces in decreasing order of strength?3fw1y z7,b,frzrxk (s

  A beam of electrons enters a unilk hb/ -yyllbz05gp,(g1 gm i3form electric 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; icqls)jt z5-fz ,e3p in a uniform vertical electric field, represented by thj )zp,fl3tq5e ;s zci-e arrows. Which of the paths shown would require the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distance, are showh,dr ahn)xd c7w8d(ym gd51p)n below, along with the electri m,y(dd1ph78ndd gw5)) raxhcc 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 loca emy ejwi336*58rovcfm 65xclted on the same horizontal line5ev6o3y6 ei w3 m 8jclmc*r5xf.

What is the direction of the net electric field at the point marked X, equidistant from the two charges?

  A plastic rod carrying a unsab 8:ss /b6sniformly distributed positive charge is bent into a quarter-circle. What is the direction of the el ns abs/s68:sbectric field at point P?

  A non-conducting sphere with radius R carries a uniformly distributed positn -l.fv8j)im1bs.m l24tblvd ive charge with charge per unit volume ρ.Point P is at a distance r from the center of the spherev bn2s -m)mltld.i1l84b .fvj.


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 fielp4mlw*.fz 1p ld due to A and B. What may be represented by A pwzl 4p f1lm*.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 equipotential luslq)74 ll*v gines shown by the lines in tqus l)7l4gl*vhe 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 sq.4,7kxn g +xzqfidl +z,bv/assumed to be orbiting the nucleus in the first energy level with a spee4qxv,+/xzn7sqf i,kg+ l.b zdd 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 a.3l0vfwf sed0r0p4jthe diagram. Some of the electric field lines due to the charges are shown on the diagram. Points P and S are two points asef40 w ap0 dfjl.0sv3r 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 representsrht)88 e0-v-zmwzaq)qzqlkr *(d: ww how the electric field and the electrid0e*-(z-m8) lqrzhwz) twwqk8a:qvrc potential due 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 to the unit ofj n(t e*7p4pjq electric potential difference( 4epjpj*q n7t?

  Two point charges of −4.0μC and 88.0μC areys 7p-r3f**tooa gf5 a8vqs/v separated by a distance r=2.0cm as shown in the diagrfa vvp 5*/go aqy3-8* sr7oftsam

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 po/go,e/tn dco ;el +fd(y(nd-otential 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 equipr6a) s:66ohx-ofh wk notential lines are represented in the diagkaro6 n: -w sohhfx6)6ram 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 z mt/:jzk)e5a)*odse equipotential surfaces 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 20nC are held at a fixed distancelhg7+sdx0 uh7 rd4;z:ukz.tn.

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- x9zw.-f 6hl+md jmzium6q+m in a medium with permittivity ϵ. The charges are then moved to air so that they have the same foi+z- u.f+6-j xd 6zmmlh9mmwqrce 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 negativ+ ghisnqw sk*o,z2z y47 .*qmoe 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 positi*o y kiwsm.7gqh +2sonz*4,q zve 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 electrical and gravitati2 xhylqoek 3v6n:v 1*qonal forces on one another. To the nearest order of magnitude, what mass must the object have to be so that the net force 2*o3k v6hlyv :1xqqne acting on it is zero?

  Equipotential lines rep8umivqj35 w2e--hl tyresenting the corresponding potentials are shown in the diagram, in an electric field. jqim 85hwvy2tu3e-l -
Which of the following is a correct statement regarding this electric field?

  Two positive chargesiz48mxa;mvh k6zy0+q(en :y h $q_1$​ 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 partqn;9 fnc(hooc6/rqp; icles are at the vertices of a rectangle. Which arrow represents th nh6cnrc;qf 9/p;q( ooe net electric field at the center of the rectangle?

  Four identical negatively charged objects move in an electt9pcw6 v10nb cric field along paths shown as arrows below. Equipotential lib6wpc9n0 vct1nes 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 battery of j7 p- fq d,zwd8l*qqno /qq,s9- arc.dpotential difference V as shown in the diagram. A proton released , ,c*n slq j-a-qzd7qr.f89/wpqoddq 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 2C and 8C respectively are placed 9cm,1sg)ha tls (m:l dcx*s2g +fp apart. A third charge is introduced between the two charges as shown bel g( m:l1c aps*f)xg,ls2+dths ow;


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

  The diagram shows equipotential lines due(,:l -bxz cd5tyin/v 2(9x0 zmwlfpks 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 diagra,51hg .x7-zg q/ mx6scme iswum, the size of the charges is small compared to the distance R.-gqe ,5g6 mc s/imz.xwuh1sx7



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

  Estimate the speed of an alpha particle that has accelerat6zp:w4h.77lwcz qo.m t x497agnlixv ed from rest in a uniform electric f7 l7.4xplct9xwgo vnz:i6 q4 7w.hzma ield E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potentiadokik v:* 7u /8z1qjlgl due to two point electric chgdlk1vo q8jz ik*/:u7 arges $q_1$​ 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 potentialjb; x;t/13+5h n.so5v ktzitat,t shl due to a point charge as a function the diso3sl5 bjxtshtk ti z./a v5; ;hnt+,1ttance 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 radiqm;u; ae4a+7be v-gek d m)qb1us of 20cm and a charge of +3.2μC. Point A is used to describe a location 20cm from the surface o;vd;q-aemee akum+b 17g bq )4f 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 disqiz. m-59ylpmwl4fl1tance 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.-*jn vx :unwm5 Charges of +2Q and −Q, and un5wju x-nm*v: nknown 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?