The work done on a beta-minus particle when n mby 8(p0 eyp,s5uy3imoving it from Y to X is found to be −10eV. Equipotential liny3uin ym 5py0, sp8eb(es 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 moved between two gtw7l/ wg ;ugq;m3*gcparallel plates separated by a distance of 5cm. The potential difference between thew7*gm3;/qgtc;w u lg g points is 50V.
What is the average electric field E?

  Which of the followinlj k8wr bo /j 2u.4n,xe2b2yuhg correctly lists the fundamental forces in decreasing order of stryj2 l28 h2xjn .re4uubk,w bo/ength?

  A beam of electrons enters a uniforiv rorrmz::3c2b /ho;xv/ vh*m electric 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 inv l:ac5qk(wgdkv218 e a uniform vertical electric field, represented by the arrows. Which of the paths5v g v(:lkk12w8cdaq e shown would require the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large )q26 45fx) ev(pjut4 lvswe mydistance, are shown below, along with the electric field linest myqjlfs4p)5)ev2e4x( vw6u 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 magnitu7 j atn -22knte)ttrz3de are located on the same horizonta3t-ktnret ntj2z72 )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 charge is bent x9)u ro)(:: j0d(3hvikrt7 r cbkmun m i,hl/ainto a quarter-circle. What is h tu (k kb3(rim/::lnouhi rv ,9m07jc) rxa)dthe direction of the electric field at point P?

  A non-conducting sphere with radius R carries a uniformly distributed pos pg*8amd)bi t,h (hlar 50l0kcitive charge with charge per unit volume ρ.Point P is at a distance r frah0, a 0bd)k5m8h( tic *gllrpom 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 i9fo7onzt j16e n a field due to A and B. What may be n9jotf7ze6o1 represented 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 8ll4j- ri, rgsthe equipotential lines shown by the lines in the diagram. The electron4- jrg rl,sli8’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 or7p , zq, ,gs.n s8juywtn)d 7jpartc1)biting the nucleus in the first energy level with s n s8gjw)71jpzqcu r,y7.ta), p nd,ta 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 2zitsn. :)jgyas shown in the diagram. Some of the electric field lines djisz2 ).:g tnyue 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 el8;7u n: 1:oh;csma l vluiwj6yp0kk-qectric field and the electric potential due to a hollow conducting sphere vary with distance from the center? The origin of the graph represents the centp-lqsim 6;7; uo 0c:hy8kwljn1:kvauer of the sphere.

  Which of the following is equivalent to the unit of electric potvn 1jpp8 ar9(agdhs1bwzb.6* e 4)ul xential difference84wnuv 1sre1baphd* j z9 )b(x.lg p6a?

  Two point charges of −4.0μC and 88.0hzr1,212og l x3y icblwv(*hsμC are separated by a distance r=2.0cm as shwosbhr*1hgyilz 3 v,21 2cx(lown 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 potentialb8,v.pxcobvx 4:tx c9es nb6; 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 repre5u p al18m.xp6i nv*pgsented in the diagram su 1. gm8pl 56pvni*pxahown.
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 surfarvjs.zh.j-n : ces 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 ar lr*(g qcb7a b5z(kfn54i4 fqbe 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 r are placed in a medium with perns5 suci 5 k:tn48qxknnh/za::n5v *umittivity ϵ. The charge5q ns : hncitnuz5/x8a4k:ukn5s*: v ns are then moved to air so that they have 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 released from the negative plate of two oppositely cj /:um: usa md)i-5flqharged parallel plates placed a fixed distance apart. The potential difference between the two plates lq /-afjms mu:)dui:5is 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 electricalb3l n5gvm27nc and gravitational forces on one another. To the nearest order of magnitude, what mass must the object have to be so that the ne gn 2n5lvmc7b3t force acting on it is zero?

  Equipotential lines representi ieb8zmb7rrwlpt9 +g;5io5z0 1k h; lzng the corresponding potentials are shown in the diagram, in an electric fieldog rwr98 b5+izpe7mhl1; 0t 5il ;zbzk.
Which of the following is a correct statement regarding this electric field?

  Two positive charges ja12j +tv1*b2oc3b;rtrnpi- f.yrs a$q_1$​ 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 a-sqmpm0 g7;rdc 9vm1bre at the vertices of a rectangle. Which arrow repdm r1 g7p;bm 0m-qcsv9resents the net electric field at the center of the rectangle?

  Four identical negatively charged objects move in aez03/6wl2izai8 yslz f4, zcr n electric field along paths shown as arrows below. Equipotential lines for the field are shown. Initially, all four objects have the same kinz6 c/ yif4z 38lzlzre0aw, 2isetic energy.

What is the relationship between the kinetic energies of the objects at the end of their paths?

  Two parallel plates are sepq b./b twh,n6warated by a distance d and connected to a battery of potential difference V as shown in the diagram. A protontwnb,qb 6wh/. 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 respectivelgyf-;o,sxo(l7,noxqdv/ecxu 6c z ;6y are placed 9cm apart. A third charge is introduced bed7 v;xlue c6no6c ;x(f,-gs/oqx z,yotween 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 charge. -xy/yw oiy25t
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 f,xf)/bmrxz :* eods7 to the distance xo:b,ez x /rdsmf7*f )R.



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

  Estimate the speed of an alphafaz 8+t6wqa2c ut y-7f particle that has accelerated from rest in a uniform eleq - yca7zwft 2ta86u+fctric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potential due to w kb;1ijm7y: ge eqxg5x7)0qycy,wc 3 two point eleccgxxe 1ye7b3; w q :jg)y0iwc,7ym 5kqtric 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 variat9vv- ++r kvnlhion of the electric potential due to a point charge as a function the distance r l-+hv9r+v nvk 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 chargx 1n(2 s a8xffy:6foxqe of +3.2μC. Point A is used to des fqs6xfo:nx(x 1yaf2 8cribe a 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 separated by a di xgn zxj i-+f2 *)iotie+kfq/0stance 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 shown on the corners of a square. Cha *u si8 lt;dcy(rqtd+9rges of +2Q an( *d+uytl 8sdr9 tc;qid −Q, and unknown charges 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?