The work done on a beta-minus particle when moving it from Y to X is found to bt7ap5 dvsn-xn,by/j *ca zj )5 cf0lb*e −10eV. Equipotential lines are represented by the dashed lines jlcv,fnz* aypa) d/0t*b sc5jbx-7 5 nin 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 parallez* q6iff r11 e r(c0v86tndhhql plates separated by a distance of 5cm. The potential difference between the points is 50V.h0 1znh fq ie6 *8rrctv6(qfd1
What is the average electric field E?

  Which of the followin sni w/ p.ddrx(h*aotf5s3 0)pg correctly lists the fundamental forces in decreasing orde0pwht5./io 3 n(sapx*drd) sf r of strength?

  A beam of electrons enters a uniform electric field, as9aj8ntv k)y 8s 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, repr01 df6woiclr0 esented by the arrows. Which of the paths shown would require the largest work to be d r0cliwd61f0 oone on the hydrogen nucleus?

  Two charges, separated by a large distance, are shown below, along with thlp+5)ez 0etyi e electric fiele l)ey5zt0+ ipd 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 w*js8nw)i kqn28s9sh of equal magnitude are located on the same horizontal line. s8 2snhq w9sji*wk8 )n

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

  A plastic rod carrying a unifpf h*eh croj ph*k**w(0gbc3-ormly distributed positive charge is bent into a quarter-circle. What is3brc*hkp*o-h (w0j *hpfeg*c the direction of the electric field at point P?

  A non-conducting sphere with radius R carries a uniformly distjuun q:(qhk d 3myi,1+ributed positive charge with charge per unit volume ρ.Point P is at a distance r from theu my 1id,( jqh+n:uq3k 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 equipotftk5e3via b6pou9i c ;.ju l:8ential lines in a field due to A and B. What may be rek8v5 9at b63i;f u:eocijp l.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 fieldg (ro(-6fa: dn )ospjg represented by the equipotential lines shown by the lines in the diagram. The electron’s path is shown by the dotted li o)-(gndorj6(p gsf:ane.

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 in pm ;d/oxlj8lo4d 1wwk- ozz :7the first energlkxmd:oo z4 wj8p lzw7;od/1-y 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 locatemc fd2ttg k75g1)3 +aav q u4ndfq.yn6d as shown in the diagram. Some of the electric u kagt3yvfat 4d) f qqmd6 g7ncn251+.field lines due to the charges 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 represents how the ed)y, q ep ddpi.9,y)mwlectric field and the electric potentiam d,dqip9e,.p))yydw l 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 potentia gzppyx*16nqbr.i7w6qi x 1 ;ul difference?w 6 ;u6x.p gyrpbz 1q71nxi*qi

  Two point charges of −4.0μC and 88.0μC are separated by a distance r=2.0c3,fzyol85tw m:8f gnom as shown in the diagram o8 fwygfon85 m3, zt:l

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 poten1etw rh7s6d6 ctij2 ke +i(z6o7d wua)dm4e(ztial 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*jf v4wyob5kjee 328 e.bm ap2 are represented in th2v2 ejj ok*yb8ep3.mw5 f eab4e 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 equipotentialgemv- kdzpz( beq j:+0 r7-n)h 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 hel 6 qcj:y-7nr+wj,ob pvd 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 db r 7jp8 x(lf24bg-bsr are placed in a medium with permittivity ϵ. The charges are then moved to air so that they have the same force between them as that in the j brs(8d4f pb72g-bxl 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 chargedn 91:isat r8rf parallel plates placed a fixed distance apart. The potential difference between the two plates is V, and the electron reach s:nr9f ri1a8tes 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 wit -4:x :znbzellh charge +e exert electrical and gravitational forces on one another. To the nearest order of magnitude, what mass must the object hall:bzz- e 4:nxve to be so that the net force acting on it is zero?

  Equipotential lines represenq 4s1+sd5waow ting the corresponding potentials are shown in the diagram, in an elec1dwq+o ws5a4stric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges d kbt1t9yg,/hu7t 50eczwqe) $q_1$​ 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 (nysca/)p(h96 higc zof a rectangle. Which arrow represents (9 higpc)ahs6/ (zcnythe net electric field at the center of the rectangle?

  Four identical negatively charged objects move in an electric field along pat m9 fzdz/w-xu 9pr/x6shs shown as arrows below. Equipotential lines for the field are shown. Initiallu- 6pdxsz99mxr /fzw/y, 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 separ6:jt14e4jn3b.ho anewlycr; ated by a distance d and connected to a battery of potential difference V as shown in the diagram. A proton rea3n 4:.o1btwen;hl j4 r6ecyjleased 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 reigda 9y4e)5-rchu lntl2uwp. 7anra :v 8lc;(spectively are placed 9cm apart. A third charge is introduced between the twpg8l;avrlh 25 )nrw y7d4auca.lt 9 (nci :e-uo charges as shown below;


At what separation, X, from the 2C charge is the electric field strength equal to zero?

  The diagram shows equipotent)b6 libl7 e3upial lines due to 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 comparexg9i3m r7- b7qb9l,wtm)rh fs36v zrwd to the distance wm3wsi6hr mgrtf) 7bv -xl rb,7z 99q3R.



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

  Estimate the speed of an alpha particle that has accem0j x 7e-/kdxmlerated from rest in a uniform ek-j/x7 0dmxemlectric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the totalgly d7g71rb a; electric potential due to two point electriybl;7r7a gdg1 c 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 7hv+:wv3lro uelectric potential due to a point charge as a function the distance r 3uhvlr :w7+ vofrom 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 i,nhc5dzc5f)v / ev me;s used to describe a location 20cm from the surface of the em )5 df/zvnvc5che, ;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 separ )i83n m nmkrmp.u:le5ated 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 shown7q *e8 lx5kwkd on the corners of a square. Charges of +2Q and −Q, and unknown charges A and B are located as shown qedk7k5 8xl *won 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?