The work done on a beta-minus particle when moving it from Y to X is foundhs qb6i5ol(kzj ib,h6v) 30no to be −10eV. Equipotential lines are represented by the dashed lines in the diag6h0(lzbbo kj osq,6 ihni 53v)ram.
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 t77lc :.mki pugxeb7n. wo parallel plates separated by a distance of 5cm. The potential difference between the points ig :iel7xunck.bp 7.7m s 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamental forces in decreasing 7 fvvpz;5xy*uorder of strength?*y75 xuv pz;fv

  A beam of electrons enters a uniformco h.uvjzv:r*5ci8dxe.2 u1 m 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 iiy ao-qjbz( ppa9)c+)n a uniform vertical electric field, represented by the arrows. Which of the paths sh py9+i( )q pojazba)c-own would require the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distance, are shown below, along with the ele ixj3x . :v;kfog6e:pectexgo3:6pi. e:kvf; jxric 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 onr fn:7mr0i:br the same horizontal lr:ir7 bf0mnr: ine.

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

  A plastic rod carrying ovc wo71v7:dua uniformly distributed positive charge is bent into a quarter-circle. What is the direction of the electric field at po: uc v17vw7odoint P?

  A non-conducting sphere with radius R carries a uniformly distributed9e4z/yu ua qk5 positive charge with charge per unit volume ρ.Pointyzuuakqe/4 59 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 th f l:o: hplvj. 4r(:b 3-f2waowztop5oe equipotential lines in a field due to A and B. What may be reprea ofw:5bf o.th:p pojl3or2l-: wv4(zsented 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 field reprf/oa 4 0ple03s 4enp7 p)awximesented by the equipotential lines showem447p/a ip nsol ) f03wp0xean by 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 orbi6no7.mi16qnk px ua 0p*ib(wt ting the nucleus in the first energy level with a speed o0atb( n* k7im6p6ipo uq1xw n.f  $2.18\times10^6ms^{-1}$
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 t yt97vykqtl o9hm*:4are located as shown in the diagram. Some of the electric field lines due to the charges are shown on the diagram. Points P and S are two poi oly7qy*k9 h9tmt4v :tnts 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 ooo1 /q8e e 7d)dxy8zhnf graphs represents how the electric field and the electric /oyodex n87 h1)8z dqepotential 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 of electric pvxstu l42k+v+3yk0 4yrava 6y,a z f(hotential differencelya+60h4vv3frkx+ 4yau k, vyatz 2s(?

  Two point charges of −4.0μC and 88.0μC are sepn v 5vf)do+us+arated by a distance r=2.0cm as shown in tfuns) v+o d+5vhe 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 pot;3h/ig 8w v9 kv8+dsb nwclip6ential 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 li i t*ey*/rzl9qnes are represented in the diagram show/t*qryz eil9 *n.
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 oy;7co)8pu+kx: x.xuhq73na v 0deje mf 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 ofy0qiggbs *zb fv 80(1s 20nC 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 a distance r are placed in a mediuf01mlt ; bquv(bg+6k7ourv-i syp )*ym with permittivity ϵ. The charge+ul)-f 6rgvvq; b ystm7b1pu i0(*oyks 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 two oppositely charged parallq2cye 1s4vi-iel plates placed a fixed distance apart. The -4v 2iiy1seqcpotential 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 electrical and gravitatio70 7l,hf; o8 ddynwql o v-de62:ktypo 95skucnal forces on onelf:7v7 t-uw d9e0;yk8c y dsq65ohdo p,2lkon another. To the nearest order of magnitude, what mass must the object have to be so that the net force acting on it is zero?

  Equipotential lines representing the corresponding potent.h2 qfqy7cyvt/ a4.plials are shown in the d /p7aqvch l.yf4q.2tyiagram, in an electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges u wh0tr csa. 2nz7v0x2$q_1$​ 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. 7g 6rv4rbulhxng1 kx/8-r1f wle 5r 0rWhich arrow represents the net electric field at the center of tnr rv-h8 16lugr g7w0r f5le1 xkr/bx4he rectangle?

  Four identical negatively c on8:j6t+f bzzharged objects move in an electric field along paths shown as arrows below. Equipotentiat zn68:jb +zofl 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 and conn o5 aa lzu(-b2vkbrx r2;o,ce2ected to a battery of potential difference V as shown in the diagram. A proton released from the positive plate gains a speed v when it reaches xrv5o2;cr lzoba22 ku b(,ae-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 8z g1jct-6k/m hC respectively are placed 9cm apart. A third charge is introduced between th1hjmtzg/kc 6-e 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 to aeya a1 2+o,pfn 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 siz-b,o y,nzk6op 2,1qwckyf qp. e of the charges is small compared to the distance R. pny1qk,- zo.p6wobkqy2, f , c



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

  Estimate the speed of an( )fj b r9;m6oxb-x tkkskqh3wa 08j:y alpha particle that has accelerated from rest in a uniform electahy:6jk-r om)qsk9 x( xfb3jk;tw0b8 ric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric 0g5yqq1od bztmco+rru r0 : 54potential due to two point electric chqorur0 b4tym1 cog q:r0z5d+5arges $q_1$​ 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 sibpv19;y nu wqis971 6s cr.gthe electric potential due to a point charge as a function the distance r from i. vucsy;99p 1bq1gs7swi i6n rts 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 2s)l0n 3t,*m2yl-,hxoq vnh zo0cm and a charge of +3.2μC. Point A is used to describe a location 20cm from the su*) h l, qxnlsmt3 oyhv,-n0zo2rface 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 separatjk4d s y o;s2juqqr586* 9hynaed 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 o36w msfj k1z- .izi5lp/ j8cywn the corners of a square. Charges of +2Q and −Q, and unknown charges A and B are locate ./-lp 38c y5s1 wizmzkjiwfj6d 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?