The work done on a beta-minus particle when movinw7zq;-druduli k1*j +qb0j m1g it from Y to X is found to be −10eV. Equipotential lines are represented by the dashed lines in the diagrb1 *r;id1 quqkujmj0+- d7lz wam.
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 movx2 j v+ayh ,0frseuhyp *xq+;ds/3z*med between two parallel plates separated by a distance of 5cm. The potential dif r szjq0ydh fm+ex2 p**vyshx+u;,3/aference between the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamental forydo:ms9 uvb24b n5fhd,e(shr y05 d*tces in decreasing order of strensudbv mh4:d bt2ofry50 ysh5d( n,*9egth?

  A beam of electrons enters a uniform elect9t gvmml 7pbv;.5gx0sric 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, reprqxjvzxma+0 v;d;./*j f dhct5esented by the arrows. Which of the paths shown would require the largest work to 0tv+;j5ac *j. /xd ;vmhfzdqxbe done on the hydrogen nucleus?

  Two charges, separated by a large distance, are shown b.zl vvk 8ca.w qv12yo7elow, along with the electric field lines around each.1v7ayq2 kwl .vcozv8 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 g:8 ;qgjzcw/fx73+zn/zz r(m ,/trgm kf4lf qon the same horizontal line. g/n ;fq,rqtzfgz8x4z+(/mg 3crmk z l :fj/7w

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

  A plastic rod carrying a unifo2tn4p 6z ls+azx6y9x srmly distributed positive charge is bent into a quartl6x2 +tz4p6sansyx9z er-circle. What is the direction of the electric field at point P?

  A non-conducting sphere with radius R carries a uniformly distributed positive 4jczw;jf e 2t 1acu1z8gp7fl+ch17jzcezjf fl ta1g4c2w 8;+up arge with charge 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 equipotential liness68nu375y mq*pme q hb6thml 64rj v.d in a field due to A and B. What may be represented by A and ml y5 4t.6renq sh*6dh6pu8m73jqvb m 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 equip5* tljo5nl m1totential lines shown by o5t mnl1 j*5ltthe 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 orbitikkc3dr0-nk1j ng the nucleus in the f3n-k0 cjkdkr 1irst energy 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 loca7 ,l 8qb;tpr(t 9oftwuted as shown in the diagram. Some of the electric field lines due to the charges are shown on the diagram. Points P and S arulbr,wft9op ( tt87q;e 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 tnrka95e r1d l g99z3ovhe electric field and the electric potential due to a hollow conducting sphere vary with distance from the cente9gnl 1vr r93ko9zd e5ar? The origin of the graph represents the center of the sphere.

  Which of the following1uvetn+ 1/ynvzm k5 o4 is equivalent to the unit of electric potential difference?ozmk1/t4nvv1 y+ n eu5

  Two point charges of −4.0μC and 88.0μC are separated by aj;mna1q ,7haxf r2m3nw j:v 2d distance r=2.0cm as shownr2jwmx3n ;:anvjh 1 q27 dm,af 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 potentiamegj*vs9u0r)9 :r ucx2x i .ral 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 are rem51ny(z 8zna-6 t nykkpresented in the diagra(yyt-nn5mz z16kk n 8am 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 ebnns-g:(n+a q e y)hx*quipotential 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 distance. fsw+ls*3z (waw g-cn3

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 ak(k(da tx j g7l--xfo: distance r are placed in a medium with permittivity ϵ. The charges are then moved to air so that they have the same force f-g7 - dlakx(:jok(x tbetween 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 wtrcb pvt8+2(f vqv+y gu 4 uk03rnm7;of two oppositely charged parallel plates placed a fixed distance apart. The potential difference between the two plates is V, and the electron +48 nvpfuwg ck;7(2ytrmur btq+3v v0reaches 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 witj0 )wg:w8 6pch:dh hlw o9t,ath 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 thwcd 9h:8t6p,j: oaw) thwg lh0at the net force acting on it is zero?

  Equipotential lines representing the corresponding rcz 79rv 1g :zaxe5+kkpotentials are shown in the diagram, in an ele xcrr:+ekzk va91 g5z7ctric field.
Which of the following is a correct statement regarding this electric field?

  Two positive chargesp z*:fllo.t ;x*whvn4bx /p,r $q_1$​ 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 h6p97o g73s n/vbkrlx 2h.nbmhxht77a rectangle. Which arrow represents the nbpgn.67kh72thol9bhv x sr3 xh7m/ 7net electric field at the center of the rectangle?

  Four identical negatively charged objects move in an electric field a e :5mh,6awubwlong paths shown as arrows below. Equipotential lines for the field are shown. Initiae5am,w6 b :whully, 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 w otw8wp gz0)s25 ke8dpotential difference V as shown in the diagraw)kt5 wp8 2zeo0gwds8m. 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 . bpi )./fctbbmagnitude 2C and 8C respectively are placed 9cm apart. A third charge is introduced between the two charges as sho ./ticbpb bf).wn 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 p;b*qgrbwj4 gk- 50md rjv ft,vs5c, 4yoint 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 compared to the dis zs/e: +dxqno0/a2smltanc z:/ lsos0+mex a2nd/qe R.



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

  Estimate the speed of an alpha particle that has acceler. 0gt)ijm hj900 bhmuqated from rest in a uniform electri)m.tum hgjh000 9b iqjc field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the ric* tz+ up4h8variation of the total electric potential due to two point electrit4*zr h 8pu+cic charges $q_1$​ 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 emp2 z/(go5gaauu .9v0m i ,hrclectric potential due to a point charge as a function the distance o/(uc 0vhaam5mugrpi z,2g.9 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 A is used;.cp rbc7h ,1s u n7-pvqxibt+ to describe a location 20cm fro1-p vtchbs;r .+b,7i7 xpnucqm 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 dist ) ahazagv1:w(ance 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 sho5 n8su z:w4qpxwn on the corners of a square. Charges of +2Q and −Q, and unknown c xp8uwzsn q:45harges 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?