The work done on a beta-minus particle when moving it from 14ps ja.ybgt -Y to X is found to be −10eV. Equipotential lines are represented by tyt ba 4-j.g1pshe 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 au-8un(zuec2 plates separated by a distance of 5cm. The potential difference between the points ise-2 ua8 unu(zc 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamentlr 6hzb9k88 op2bju6b *fe efdd-9e 6kal forces in decreasing order op-o 8edu b9b6d2kbh *ler669ffez 8jk f strength?

  A beam of electrons enters a uniform electric field, as *mpr(/ta ur4t shown.



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

  A hydrogen nucleus is held stationp 3ikuti*n4s-ave .d: ary in a uniform vertical electric field, represented by the arrows. Which of the paths shown would require the lae p*invti3-.4 das:ukrgest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distse9jk:mfb *d+ance, are shown below, along with the electric fie+bj9f ksdme* :ld 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 equae5ht0z,xaz / gl magnitude are located on the same horizontal latzg5z/x h,0 eine.

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

  A plastic rod carryingr,oscq oo(b5by - n9/g a uniformly distributed positive charge is bent into a quarter-circl5n 9/-bc yro (qgobo,se. What is the direction of the electric field at point P?

  A non-conducting sphere with radius R carries a uniformly distributv;g1a zngx39d i8wil+8b xo 4yed positive charge with charge per unit volume ρ.Point P is at a distance r from the center of th4; xg 3av+z x bo9igi18dwnly8e 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 equgo, uac6.ds,bu i ,ma.bw 0+nmipotential lines in a field due to A and B. What may be reag ,o,0a d.u, mimnbcws.6 b+upresented 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 fiel49ke gut -b1men2o hshmdjbx7cb 3;5/d represented by the equipotential lines shown by the lines in the diagram. The electron’s path is shkx21n5;cbem3b 9o ebt/7sh hm 4gdj-uown 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 electrqj4y1 (9g y)(.xxxomlki d*:*ogwr hdon assumed to be orbiting the nucleus in the first energy level : wggd9(jqx dr lxoh14*yx(.mi y)k o*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 locazgb1szoqv/ 3* 5r:3 elyea79u/x c jppted 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 points as locz:5*9eezs x p7vgc/ blpy/oja13r3q uated 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 andydith t)qr 6w2t:/-aa the elechid aqr :ty6at t2w-)/tric 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 of e(neu nt;5jpo*k la-3tlectric potential differencokup(n*j nte- 5a3; lte?

  Two point charges of −4.0μC and 88.0μC are separated by u9yzw*9-jl tr(+ )r f bcdvdd (vl)/lxa distance r=2.0cm as shown in the dy*+ (bx-wlj9v/lvt)9 r dcfz)rul d (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 pot7w/*5+dbh3n gx aymu bential 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 fvaelqz s8-76:7ns. 1ur lvnikour points on equipotential lines are represented in the6l :ze ssiqvn8.1 lnu -7akv7r diagram 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 equipotential surfaces of two charges gpmz+ar-2kwg,qbu +7.

Which of the following can be the directions of the electric field at points A and B?

  A charge of X and a chch30kgn wp 25:n6kc/e3lelvg arge of 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.te uzfe)).of  r are placed in a medium with permittivity ϵ. The charges are then moved to air so that they h .ez)eo.t f)ufave 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 releasexz:4*jku)a5cimg to a5eppu:+ j 7 a-sd from the negative plate of two oppositely charged parallel plates placed a fixed distance apart. The poku5cgj a+euz: a pj)a4ps 7t:*-ox5im tential 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 k,mskx 5nl,5m electrical and gravitational forces on one n 5lxm 5ms,k,kanother. 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 potentiz1s ,e6rv hb 35qijlf4als are shown in the diagram, ivbrql13ez564i fj sh ,n an electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive chargesi h86x( aczg ut,q1:rg-gbp)3b wehz(:a1nhr $q_1$​ 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 th:d.llktad-r:w m3 d,je vertices of a rectangle. Which arrow represents the net electric field at the center la:dl. d mjd-kt,3wr :of the rectangle?

  Four identical negatively charged objects move in an electric fiel50xq 7t rv2u*mhoi*iad along paths shown as arrows below. Equipotential lines for the field are shown.52tqha uo7 ** 0mvxiir 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 battvk ;ia:fb7cyv ;) i 8(yypao6 zvwqg1,ery of potential differev1 vwb: ;aiaz;7 pocyvq ,f6k()8 yyignce 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 magnitude 2C and 8C respectively are placed 9cm apar3q8zam + -p,zhz 4zhl0)ruobjt. A third chz- 43om8l hhjpu,)aqzrbz0 z+arge 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 point byma8e7t em8/a8q,+ arr nk.mq4m:mwcharge.
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 to4pm7o1)3( r7fx tojrt ayyrv3+ tu wi1 the distance R() 1m4v7 yyti33j w7+toou1 rxfprtra.



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 in a unzgz/n,pxs /v,9 ba3 bqifoq/ p ,,g/3zzv b9xsnbarm electric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total el -fw/i/l+rwu )oaw9q,tdma4jectric potential due to two point elec/4taw,a w iod/ lq wm)fu9r+j-tric 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 electricg07l4 (mwraayq: +km;qvrkh * potential due to a point charge as a function th;qk (4+7lr* rwyqk v0mamagh: e 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. Py1q 7dj;/hg 5cebma*f oint A is used to describe a location 20cm from the surface of thhadm7 1;yfq5 b eg*/jce 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 bk/c8j5ho b,h sfk))hj y 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 shod0g-ek) e u9agwn on the corners of a square. Charges of +2Q and −Q, and unknown charges A and B are located as shown on the diagramdga e0-e k9)gu.

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?