The work done on a beta-minus particle when moving it from Y to X is found toyy7 9wma5wlr2r)+oz/hg u5 yo be −1y/9m o z5ohgw25w r 7lya)+ury0eV. Equipotential 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 moved between two parallel plates se/s tbzcyu 5u)v.zb9;m/ub)hj parated by a distance of 5c t9z5b/s/b )u. ;bucvjz)mu yhm. The potential difference between the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamental forces id0tk5 .ocher:n decreasing order of strengtc kto0h. e:dr5h?

  A beam of electrons enteryi :+y shi-3gsw e rz7q2)mi:rs a uniform 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 in a uniform vertical electric;tjxo 2ipe,cml f.h49 field, represejtpc;4ie f2 xlh9m. ,onted by the arrows. Which of the paths shown would require the largest work to be done on the hydrogen nucleus?

  Two charges, separated ogzwe; qn(-glne(j;yz-b/uprme; . 1 by a large distance, are shown below, along with the electr /gn;mnorb-.q ee zpe 1ug(w;;yz-(jlic 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 negat wiol4*nz1 yx 2d*ii,xf d,cl1ive charge of equal magnitude are located on the same horizontalxylon* cd2ifw ,1*ii4x 1dz,l line.

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

  A plastic rod carryingfvm a o3y5*,c*g t-auz a uniformly distributed positive charge is bent into a quarter-circle. What is the direction of thc ,- uy gvfm*3*ot5aaze electric field at point P?

  A non-conducting sphere with radius R carries a up 6 h5jht970* n,pzg..sj4fo zgbwr, j9wku ojniformly distributed positive charge with charge per unit volume ρ.Point P is at a distance r from t,hbj kww 6 *u.0fr7t9 ,5gj4sjozz9g. nh jpophe 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 field due to A and B. What ,0 7oi(xudnmi(y5ily may be repre iu (5y(nlmdi y0oxi7,sented 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 fm j d3ns*;6jv6nm3s +qj5uzuiield represented by the equipotential lines shown by t ujn*z6s j56mj;uq snd m3i+v3he 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 nucleu5i1ystnvxqs:* j z+ 6w7x1 idhs in the first energy level with a spzwih:7nqjst+ 1 dxivsx*1 y 65eed 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 diagram. Som r,swro/ms *j7+v-w xne of the electric field lines due to the char+ r w xs/mso7w,v-j*rnges 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 repreh2 w zaj2 s;qv6ajvkun08v96 psents 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 center of thvz862jvhnp0a vj s awk ;6u2q9e sphere.

  Which of the following is equivalent to the unit of electric potej+vetlf jof.9xw wi*e b4v37* ntial difference bv3wwjvo .f*+7xle et*jf4 i9?

  Two point charges of −4.0μC and 88.0μC are separated by a distance r=)mlj4h85mwh7u md qm)yb3w - d2.0cm as shown mhdmmww38-7)qjhmb l 5 )udy4in 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 w4trdrdim8l/4j2fela,- ( l xenergy.
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 equipotentialib u lf:ah+2n7 lines are represented in the diagram showl2iafh 7bn :+un.
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 chrl m-)ywz,ve/nt k3w2arges.

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 distance.ujw7 x;a w0**af*a2i pd+g xqy

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 pz+) c jcv+lk;srki,* with permittivity ϵ. The charges ; jc,p++)k* rsczvkli 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 chd0do* 9txd+a iarged parallel plates placed a fixed distance apart. The potedtd0i o9+ad* xntial 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 exe7tp2v;ttyj l5 rt 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 acting onj;ttl2 pyt75v it is zero?

  Equipotential lines representing the corresponding potenti3w eq/-y 84py6xrpe zhals are shown in the diagram, in an e3r e48eph /xyzy6q- wplectric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges *;np-cn73 09 we yvq quk7belf$q_1$​ 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 partict)id- yofua*pf. - dzd3q.;hq les are at the vertices of a rectangle. Which arrowz;dfqi*ad .p.td-fo)qu -3 h y represents the net electric field at the center of the rectangle?

  Four identical negatively charged pzih3dqnc) /7objects move in an electric field along paths shown as arrows below. Equipotential lines for the field are shown. Initially, all four objeh3i z)c/pd nq7cts 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 arm8 kabb8t(8dj e separated by a distance d and connected to a battery of potentialjkd tbba8 (8m8 difference 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 pl46 (*hu3*afkd td-y*d4c2 tl tvx sgcdaced 9cm apart. A third charge is introduced betwee4at d*2x*3d 4 tu(ddshtykfl*c v-c6g n 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 char m.ee5g7c*yblkki;b 84 i+ol n8us9nzge.
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 20 *n 7z*/ulkjunqk9wz8 pervcompared to the distance R. zp n*2vnu9* weukqj7k/ l80rz



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 in2y+nloelf pt3 jkmv;+s 7j, x( a uniform e+ykme(,p+3n; x2oljt lsfj7 vlectric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the tott .eiss-ak.r8eod7 5a:y8s w xal electric potential due to two point electric charges- k.i 5ayx.7r tds8aw:eoes 8s $q_1$​ 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 potential duecbd1 d b n(tu5np;f,3k to a point charge as a function ttk(3f1b db ,u pn;5cndhe 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 iw *,yhr+z1 v:rd+f re20cm and a charge of +3.2μC. Point A is used to describe a location 20cm from the surface of the s:yvi,* e 1z+f rdhrr+wphere.

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 distance u. va4-fd jil3l(htujinb v14v*vw2: 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. Charges of *;j bdv 9 vn(:sbg9jhs4yia;b+2Q and −Q, a:;j(b bvsn;4g yhvi d*9b9 jsand 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?