The work done on a beta-minus particle when mouqny) ,co/gi 8ving it from Y to X is found to be − ny,ucq/gi)8 o10eV. 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 betqyuxa -k4iv-:lod6, xween two parallel plates separated by a distance of 5cm. The potential difference between the :,ilx4-uyoxk 6q a- vdpoints is 50V.
What is the average electric field E?

  Which of the following5n 7jh,gi g3cb5 tg)vl correctly lists the fundamental forces in decreasing order jb ncg g,5)h7 vg5lti3of strength?

  A beam of electrons enters a uniform electric field, as shown.a(gfn0b0k ro7



What effect does this field have on the horizontal and vertical components of the electrons' velocity?

  A hydrogen nucleus is held stati .s3 g1gw6)p16fdju yf xuson4onary in a uniform vertical electric field, represented by the arrows. Which of the paths shown would require theg14 3fgjwuf .o6y6)usn1sdpx largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distance, are shown below, along;qmbtx/ 7lc 1:r*hp ag with the electric fieldl7a tmcq p;/x:hg* 1rb 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 l ;,09q:jfq;tufr6fji /nir ejocated on the same horizon:fjq9rr 6i, f;;ne ijj0t/uqf tal 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 i(z.m i3fpn.eis bent into a quarter-circle. What is the direction off.ne.m ( zii3p the electric field at point P?

  A non-conducting sphere with radim:wtst c3 mku,/t95ut us R carries a uniformly distributed positive charge with charge per un /5tc9wk stuutmm3,t:it 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 sm7wd(tfye6sk . 1dm1; ks:fodue to A and B. What may be m; 1ye:f7 mw(dskdoss 1t.k6frepresented 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 represent rfw8b37( bo. c6n+vi ki8huqued by the equipotential lines shown by the lines in the diagram. Thir + if k(b3no8.7v uw8b6ucqhe 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 k jocq3rxsqq3a4h.k7cv)-9 x assumed to be orbiting the nucleus in the first energy level withq3x 9kqvskjch-a7qo . r) c43x 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. So.r wnptm6cux 81*pdkj)n-dr 0me of the electric field lines due to the charges are shown on the diagram. Points P dx81)t-jkwmpcr 6 . n*0updrnand 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 rfl1ids2 i0:2m gk -j;akqdt/the electric potential due to a hollo21s: qkdrfiki; 2gd0alj/-tm w conducting sphere vary with distance from the center? The origin of the graph represents the center of the sphere.

  Which of the followingv i(290 qi5qqlnfzp-p is equivalent to the unit of electric potential differencep(i if qq9pqvz 0ln-25?

  Two point charges of −4.0μC and 88.0μC are separate;zlj a+(de9ch *eyre( d by a distance r=2.0cm as sh ej9c( l* +r;heye(zdaown 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 potential energsh/ q6w7e2qfyl-nndm+ 2( gca y.
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 are rep2 v 306nq7bjeefi*ds jresented in the 7jn30e 6q dve*bfsji 2diagram 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 theq5ockl 2g/u+ k 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 b:npp hbzm0,4a 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 pb gwy 7v/*(oy /nqr1zrlaced in a medium with permittivity ϵ. The charges are then movedb(n /r *qyyvzgr/7o1w 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 0q1*e :f z,kk*rdt atothe negative plate of two oppositely charged parallel plates placed a fixed distance apart. The potential differen zkkr, t*:tao0qe1f d*ce 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 objectw3j:1 p(zlj 5qqceqgv 34a(ym with charge +e exert electrical 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 acting on it is zero? lqeqjw:p m4a3 gjqc(yz(v531

  Equipotential lines reprea.3sl 8 j* a 7ssd9tz,lzk1jfvblh88ksenting the corresponding potentials are shown in the dia .al8ba 8fk,j38vl*jk z zsths9s 7dl1gram, in an electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges kc a a8dodfz4xe o5)n-92m;dc$q_1$​ 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. Wh+xvv lp /.(qxqich arrow represents the ne.vq+v x/(xql pt electric field at the center of the rectangle?

  Four identical negatively charged objects move in an electric field alo4 p 9b7tgq00(j2brfgogqv ra:ng paths shown as arrows below. Equipotential lines for the field are shown. Initially, all four objects have the same k j 2:947bafo0ggb(qp tqgr0rvinetic 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 c5tmng v(om9u:k(w*q bb9 gw: bonnected 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 the opposite platev5ko :nbb*g 9 u(qmwwm:b(g9t.
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 respectivel7 vif6 cq;mby-y are placed 9cm apart. A third chaf-m ;76y vqbicrge 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 to a p45buj7.q:fe4vdxj g7s)pte w)i8c gc oint 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 charges is smallcne1xt/s2u 6r8c j*h/fgcz3 gl 5v n3d compared to the distance tuc6vjc xg5nc/ ezl32g shr3 nf 8*1d/R.



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

  Estimate the speed of an alpha particle that hd g2c h2n;p0ovv)wii8as accelerated from rest in a uniform electric field E=5 ow g n0i2;2vviph8)cd0 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the totalf:4x ve c(tx)isnar-- electric potential due to two point electric cha)sv-e-in(: xx ft4crarges $q_1$​ 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 vx. 530zw ftumb0wn (nohde98x ariation of the electric potential due to a point charge as xx w 3 .8he5fndtbu(mow0z09n a function the distance 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 radius of 20cm and a charge of +3.2μC. Point Anlew5:2)1ira0rdf xa s* q0:fq ldxt( is used to describe a location 2fa*ilsd5 0w1:ndr )2:tfalr0x q q(xe 0cm 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 dista1 n0-aacv 56ec,aismgnce 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. uq,;gdaq86sn Charges of +2Q and −Q, and unknown charges A and B are locaq6,sgun8dq a; ted 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?