The work done on a beta-minus particle when moving it from Y to X le tptn5u/mvp754y: *6id dmhis found to be −10eV. Equipotential lines are represented by the vnt hy/7 i4m5tpm:6dp u*5dle 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 bet9cfsp2ggrpz vc--8f,ksrs pb4hbd b w5+ c(9-ween two parallel plates separated by a distance of 5cm. The potenphsk9sc, p 28f+rbbrc 4( w-b-5v sd 9-fcgpzgtial difference between the points is 50V.
What is the average electric field E?

  Which of the following correctly lo)b1u+wsk. a aists the fundamental forces in decreasing order of sob1.u+aws k a)trength?

  A beam of electrons enters a unifok. owb03z/ q wzv iffg ,lu0xd8cs*29ps-j,tt rm electric field, as shown.



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

  A hydrogen nucleus is het 6+e3u .iwmw2a-0brgk0vrkebm; 05kt,d yth ld stationary in a uniform vertical electric field, represented 5ba t3k0k igr0tu+;em.ww026rb evh d,mk yt- by the arrows. Which of the paths shown would require the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distance, are sh9 i.sk0a,gnu nown below, along with the electric field lines around each s ng0k.ainu9 ,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 ar a hgc8 *bt)ant dd9*- ep9aa;rv39qqke located on the same horizonta;3*pdhq a9ka v*8-9qettar b)gdc 9nal 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 posir0egh/* tfi83 d,wlkotive charge is bent into a quarter-circle. What is the direction of the electkfi/go *wtld83, h0r eric field at point P?

  A non-conducting sphere with radius R carries a unifor)c0al10 k aqsrmly distributed positive charge with charge per unit volume ρ.Point P is at a distance r from the center of the sl sca)q1kr0 a0phere.


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 equipoteh.gf8 6rv,;bdnwtr(e+,tq wf 9ckea4 ntial lines in a field due to A and B. What may be repre.fr ckerwhvngt;tq48ew 6a+,,(b df9sented 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 represented by the fkx j8le/16cxequipotential lines shown bycelkx fj16 8/x the 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 orbiting the nucleus vb1 0+ehsrv 3hn-m+vw in the first en+ sh3rn+ vv-v0ebh 1mwergy 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 located as shown in the diag8ft) 4n5vty g8enkh 4qram. Some of the electric field lines due to the chargeyg qv8f45 thn 8ne4tk)s 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 grapbd; ) 7rjiv2oshs represents how the electric field and the electric potential due to a hollow conducting sphere vary with distance from the center? The origin of the graph represents the vd 7s;bi r)j2ocenter of the sphere.

  Which of the following.7losmta;w e x2ed5;z 7oma;d is equivalent to the unit of electric potential differenc o.m7 ext;ol2 7dzw5meas;d;ae?

  Two point charges of −4.0μC and 88. bn4.boijt( frqkho ,9rlbxf: s3/6*t0μC are separated by a distance r=2.0cm as showthb 3b6of blxrf:is/kjo t4*9,q(r .nn 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 energe/fgggu/ (8 z c*m5uitiauq wc/1p z hqxj62)1y.
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 uqa wccx.0:0fpoints on equipotential lines are represented in the diagram showaqx0w.c:f u0 cn.
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 equipotej i5;6(d k q.nwq1d kom/nqtc2ntial 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 fi7n+ nj2)n o+ ,(mvffq 6f2j:sezcquza xed 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 placed in rn5b )wjzic2 3de6lmw 0 *c;eqa medium with permittivity ϵ. The charges are then moved to air so that they have the same force between them as that in the medium. rcne) *bm0;3iq6l j2 ez5wdcw
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 twr+g2 t hlpr5kn:;g,v 3 *k qzk(kjyt(do oppositely charged parallel plates placed a fixed distance apart. The potential difference between the two plates is V, and the electron reaches the positive plate with *k 23kr ,(ygtlj(rpqdt5+h g:kv; nzka 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 +eov*t;5 :dl2* r;clhw yahz, ,g3 eaqjr exert electrical and gravitational forces on one another. To the nearest order:;*c3a,ted*; qjholl h r,5yvarzwg 2 of magnitude, what mass must the object have to be so that the net force acting on it is zero?

  Equipotential lines representing the corresh/qc p/n6yp5q 0de ,mzponding potentials are shown in the diagram, in anzpqe5,q60n /p h/dcmy electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive chargesl,3+rtpchn8ygy9 2 ws $q_1$​ 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 verti7 teyn cx*1qll*)t4d9 7 yaexices of a rectangle. Which arrow represents the net electric field at the center of the recx7* i9qycd n7ex*al) lt4 1etytangle?

  Four identical negatively charged objects move in a. 5)3exyi oreoyjfeko, 2) up0n electric field along paths shownu y)x o).23,rfe oijoye kp0e5 as arrows below. Equipotential lines for the field are shown. 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 batterl , esb+9kwta)y of potential difference V as shown in the diagram. A proton released from the positive plkt+)lew , b9saate 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 z ajbeeq;m +zz.- gwb2gwl9e61v/ua9apart. A third charge is introduced between the two charges as shown beloa - gb.lza2j6mbe1 w9z9e uwq ve;+/zgw;


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

  The diagram shows equipotential lines due to a poi32 r)f3fdgvd k8fh0kt nt 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 pt-)(.vujm/e ,mrq uv1 ulrc cu2sk+6, the size of the charges is small compared to the dista1vvpr2(q/c, 6+ms k-c r.t me)uul ujunce 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 in aqj )2mvs, vgc) d2 ol6apa1ilr1,. csh uniform electric field E=5v) 1 iol,s2 l6 jhga.c,adsc 1)mpvr2q0 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric poyc n2 o9lpp5-wtential due to two point elp 5oy9-p2lcnwectric 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 variao e. ih5m+(2lxrrey5xazbg4: tion of the electric potential due to a point charge as a function the distance r from it5:5h4eog.m(+ xax yerizrl b 2s 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. Poine)g5* ck/ boi+q dctz3t A is used to describe kdq ot3czb*/ 5) iec+ga location 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 sepfy pol o.pva7 xlvsj5))1o22barated 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 placeq 5tnbpx d00z4d as shown on the corners of a square. Charges of +2Q and −Q, and unknown charges A and B arebz0x40ntpd5q 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?