The work done on a beta-minus particle when movv fq*im-6cwg,/+jaupc8g9zhxo 7/af ing it from Y to X is found to be −10eV. Equi*w 9c /fgh8moaz-cpa f7/jvi,6g qx+upotential lines are represented 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 mo5/jgfqd (reyz.i+vz1u a wk73 ved between two parallel plates separated by a distance of 5cm. The potential difference between the points is 50V.7 1d gzi + zarvy5uq/(.jkwef3
What is the average electric field E?

  Which of the following correctly lists the fundalfwrowhc -7;+nh4ge usy 7-8tmental forces in decreasing order of stwg-r 7nw-7stule+4 cy; h 8ofhrength?

  A beam of electrons enters a uniform electric field, as show4 eous7wdy80 ln.



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

  A hydrogen nucleus is oy4dac,4f hlzu 8t1b3 held stationary in a uniform vertical electric field, represented by the arrows. Which of the paths a lb4 oydzc3h84,u 1ftshown would require the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distance, are (( r viwqc,m ( bzjhy7py-qf*(zyu.2 gshown below, along with the electri ( (yhcr.z (yyq 2u,pj(-gbzq7vf*wm ic field 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 equal magnitude are located on the same horduv44a5t cv/h.;vlbz izontdhbcv5uzvt.4 4l v;a/al 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 positive chy ;layenlcc7 ..pa0s:nj (nq;arge is bent into a qual yc0saya.l:7p. enc;qnn;j( rter-circle. What is the direction of the electric field at point P?

  A non-conducting sphere with rxk/0tr:hvix7u c** wnl yr 4l6 dj16gnadius R carries a uniformly distributed positive charge with charge pl67gkty vdc*r*:in60 /x wu1x h4j nrler 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 lines in a fia3h8xt;oxs 99 j j7zjd+ y4lzxeld due to A and B. What may be reprextzhsyx9 3;ax + 4ld8zjo79 jjsented 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 repu0 unnz )d6zyn(,/lu jresented by the equipotential lines shown by the lines in the diagram. The elect dnyzn6u)0n( ,uzlj/ uron’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 or:pytykqjmv2t(j(kra2 6zs 2 -biting the nucleus in the first energ yk:(t6vpjkzy( qts22m ja -r2y 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 sh)pup) 6/5jdnvvhc oa 8own in the diagram. Some of the electric p 8a)ojd)up65nv/ cvhfield 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 pavv(smfel 6 e--bh0xi7s c t2o:irs of graphs represents how the electric field and the electric potential due to a hollow conduc6x:2i fs0bvl 7ovme-s (et-chting 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 electrcg ) i,zd-zl.lic potential difference?) .lzdz,cgil-

  Two point charges of −4.0μC and 88.0μC are separatsy ql kt.)htnt04(gp, ed by a distance r=2.0cm as shown in the gp)(,.4htn0sqlt ky tdiagram

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. 7xzhh3 ,:wgp1dv *iqs
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 onp(vs41 f*2ve 0gxu l: 8pqcbqq equipotential lines are represented in the diagram4* lu0p pbfv1:v8e2(qxgs q cq 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 thex/s-traks;-f5me d ;g 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 distauxf(m**u4 lme u,5b lpnce.

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 wuqocdd08gp i. la l6ntduc9-65z/de 2 ith permittivity ϵ. The charges are then moved to air so that they have the same for2dc6po06u 5du 9gdtqci.e lnl/a-d8zce 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 thed86b p o3rd:wf negative plate of two 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 a spf orpw:b6d3d8 eed 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 1l+hm z*tz2. t9dbq okcharge +e exert electrical and gravitational forces on one another. To the nearest order of magnitude, what mass must the object have to be so that the net force act h1zo ml*+2t.tkz9dq bing on it is zero?

  Equipotential lines representing the correspe r/ :qbw ig1nkeid0(-onding potentials are shown in the diagram, in an electric fiele (bekng1i :wr i-dq0/d.
Which of the following is a correct statement regarding this electric field?

  Two positive charges z: 6 0stmg;w8cxi1d/oba1 gmf $q_1$​ 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 partiji*.u,xxrfp0 adb( - dcles are at the vertices of a rectangle. Which arrow represents the net electric field at the center of the reca-p0rdi uxx, .d* j(fbtangle?

  Four identical negatively charged objects move in an electric field u36u+a uw49daxy6 fyd along paths shown as arrows below. Edy6+3uwu9xf au64da yquipotential 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 battery of *1 0mbz+ t mekt oo4ncwlymb*)/6 nd,epotential difference V as shown in the diagram. A proton released from the positive plate gains a speed v when it reaches the oppbbtm,e 0e14)t+**lm6yon dcwkmoz/ nosite 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 mngac*8lfb 12w agnitude 2C and 8C respectively are placed 9cm apart. A 1cfwnblg a28*third charge 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 equipot -bg2qqv7b szwdt3.5bv.t3zm36ui8 ,pvgcz q ential 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 ss*gw :iw2 wyt-mall compared to the distance R. wg -yiwws: t*2



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

  Estimate the speed of an alpha particl,n;p 8a39byyc4y qxiwe that has accelerated from rest in a uniform electric field E=5 a,34yc9i ;n wxybq8yp0 $^{−1}$ over a distance of 2.0m.

  The graph shows the vf u8tl:vn/ y :6q6+m vsewace8ariation of the total electric potential due to two point electric charges weq:lv8efcv n+t6m: y6u8as/ $q_1$​ 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 potenea,r27+b m 6gjawer a4tial due to a point charge as a function the distance r frra+a 4 grawj72mb 6e,eom 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 o - .mp/pinexl*7j5u ls;wch0 dm;a tq1f 20cm and a charge of +3.2μC. Point A is used to describe a location 20cm f5 pnphl* ;emwl/-dsqj0a c7; u1t.mi xrom 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 distu1o)tp+dshnbzz ,p-+dw3ht4 xypn ) -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 plac-zyw,bb qp:u/ ed as shown on the corners of a square. Charges of +2Q and −Q, and unknown charges A and B are located as shown b, wp/yu-:bzq 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?