The work done on a beta-minus particle when moving it from Y to X is founvn.4 czuzgv h+0n:/gyd to be −10eV. Equipotential lines are represzvyhg:.+4n0c ug n/vzented 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 separated by a distance of 5h,65lhee adw*us ef73cm. The potential differ*hdslweu56a e7h3,e fence between the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamental forces in decreasing ord/ +sa zhxy+xs;er of strehsx zys x/++a;ngth?

  A beam of electrons enters a uniform electric fiel 4t0lt9)u:;suipblj io)b b5bd, 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 v ed2yvpyty0e z d*pt44sjp/k0+ 0fh/u ertical electric field, represented by the arrows. Which of t/ t yeuzp40fj0 0hkdtp4s/*v+2 peyyd he paths shown would require the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distance, are shown below, hfnu uuemfe3+,3 j kfj)ui(0c3 g0*cialong with the electric field lines around each 3cen)f(hi03jigfm0u ecf3j u +uk,u* 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 cha-p r30y cq35i kiwysxd;3ioz j( +i0rdrge of equal magnitude are located on the same horizontal line3 r0k(wzii;d-d 5s0 r3qoyp x3icyji+ .

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

  A plastic rod carrying a uniformk)-y a)hxy)rhl v1w2e( vpev*ly distributed positive charge is bent into a quarter-circle. What is the direction of the electric field)rhp 2)kv we*ey vlhx(y)a1-v at point P?

  A non-conducting sphere with radius R carries a uniformly dist 8xd ++yb )-haze /up.o35wdb ku2jjjyributed positive charge with +bd2 joxuzhb+. au 8ed /yw3)jy5pj-kcharge per 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 equip fig 3qh)ickut9.vc0+ otential lines in a field due to A and B. What may be represented by A and B? v+quhcg3.)0 kci9tfi

I. 2 equal masses.
II. 2 equal charges of the same sign.
III. 2 equal charges of opposite sign

  An electron enters an electric fieac78kb5pb;d*8 adcb zld represented by the equipotential lines shown by the lines in the diagram. The electron’s path is shown by the dottec8*p k7ba5bd;zacbd 8d 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 orbiting the nucleus i*o)n 7hso-u fjn the first energy level with a speouf 7hsjo*)n -ed 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 arebau c,iqdf 30. located as shown in the diagram. Some of the electric field lines due to the 0.c idbf3uq,acharges 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 representuqgymf(akz+2 hv4f8 6s how the electric field and the electric potential due to a holl v48 gfy2muz6kf+ q(ahow conducting sphere vary with distance from the center? The origin of the graph represents the center of the sphere.

  Which of the following is equiva) 63i44smtd9gu m msyjlent to the unit of electric potential differencesd mms6um9 )4 g4jity3?

  Two point charges of −4.0μC and 88.0μC are separated 9-n9eve b6zqu gj9lma y7zi3,by a distance r=2.0cm as shownq99ym g,a6e jzb7-l zeu3 n9iv 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 energy. .el u.7y:zu,iv tk5 cy
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 equidrr+( yy/hb9jz o64:x.rkhkj potential lines are represented in the diagrab k(r+r:k6j r o/.hydyx4jhz9m 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 imscx, /gsv )k- )zxi,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 kadm+lc: 0k )pj kz-/tdistance.

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 medium with permitp0z+w 0:ie :uo5;c(c gahq b4 evv*buotivity ϵ. T+ve:(bv :ou gcabp5u0h4o*iq zcw e;0 he charges 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 oppositeoql7sf q4yi1)ly charged parallel plates placed a fixed distance apart. The potential difference between the two plates is V, and the elecsfqq147 yi)o ltron 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 mp fca-t*7n-c and gravitational forces on one another. To the nearest orde7ctm cnp*- f-ar 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 potentials are shown in the d: +hlsa;/dcmx; al cms:/d+xhiagram, in an electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges 3 f3m kstmud4x,4(qsd $q_1$​ 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 aza)o- e;,ujk f rectangle. Which arrow repre)fa; z-ou,j kesents the net electric field at the center of the rectangle?

  Four identical negatively charged objecj cucxsp8o5 77;wsv-b ts move in an electric field along paths shown as arrows below. Equipotential lines for the field are shown. Initially,cvcs;j 8 p7 x5wb-7osu 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 or8roq d:/0ywis o,a0)/5mbt d mpxx3 ef potemx5 ei0m,o8)ta/ dpy /xs3:rw0o db qrntial 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 magnjfq z t.18qp2v)z2 hazg u(ym1itude 2C and 8C respectively are placed 9cm apart. A third charge is introduced z2 )2 8qzfha1gzju q1ymptv.( 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 wc:7 u eud7.ypto 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 charges is small u)zlp kbu4 )e;compared to the distanc)u;b) lzpue4k e R.



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

  Estimate the speed of an alpha particle that has accelerated from rest ic7bxql wnet1)m4p*6 zn a uniform electmt6xcbw4p 7)elzq* n1 ric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potential due to two point ewfu ruklq )::cd6cx2; lectric charg:k l xq c2rw:f6du;)cues $q_1$​ 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 point charge ash p1o )l f343lu6afa)zapbn8a*:avv ibb5gw7 a function the distance r from its cenf:6a pw*5g)7h bpz 14o33a n)iu vlflaa8bav bter.

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 psdf;m;5k2 k *97 z *vr wxqi).a;wvklthbr(g20cm and a charge of +3.2μC. Point A is used to describe a lo. kqr*pki mbdwkv2hz75 a;;)lsx;gvfw( t*9rcation 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 separated by a distanceuxn/ j)61qxin(bdj 7w 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 91 (;zmslz ojcon the corners of a square. Charges of +2Q and −Q, and unknown charges A and B aremc ol9;1jz(zs 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?