The work done on a berta2eqbd3) n7:ruf1h ta-minus particle when moving it from Y to X is found to be −10eV. Equipotential lines are represented by the dashed lines in the diar2)h:r3 n eadtqub1 f7gram.
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 movnfnn, m o2px:.ed between two parallel plates separated by a distance of 5cm. The ppn.,xn:2fm nootential difference between the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamental fo oen0j3fm/*zu59hau px)gm3jrces in decreasing order of strengj33/pxno ez5 uf9jug ah 0)*mmth?

  A beam of electrons enters a uniform electric field, as shown.56,tds v1le zz



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

  A hydrogen nucleus is held stationary in a unifo/ d+u+f *l9bwnzw eh5yrm vertical electric field, represented by the arrows. Which of the paths shown would require the largest work to be done on the h/l nb9u f+*ywhdzew5+ydrogen nucleus?

  Two charges, separated by +jog iehrf( 2leyits4;3pco/48 a -mhesc.4g a large distance, are shown below, along with the electric field lines aroun;. hycr+ifm/tei4so 4e- h2ggc(pe s oj34a8ld 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 l1 b7arb mxwt)ca3kh) fpz ,7f1ocated on the same horizo 7khbb),1)rpf1c fmaa7x3 twzntal 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 ic8ae n.- 9qgm lx/5rkcs bent into a quarter-circgmx9e5kc /qlnr8.a -cle. What is the direction of the electric field at point P?

  A non-conducting sphere with radius R carries a o;a)juaa6 qm7 uniformly distributed positive charge with charge per unit volume ρ ju m)oaq6;a7a.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 field due to A 9payce .z*,s xand B. What may be represented ,* xc9s.payez 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 equipotentit-e zhxq doa nu,9 g)*:e42trual lines shown by the lines in the diagram. The electron’s path u*)h ,aez2x4og n:9dt e-ruqtis 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 nucleus2tp ;a+zdnh ma0yn9g 9 in the fi9d+ ag 0;hz2yn9nmatp rst energy 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 loxtrf/nytb fr6/d 9:z 1cated as shown in the diagram. Some of the electric field lines due to the charges are shown on the diagram. Points P and S are two points as located on the:1 r69dntz/ b tfxy/fr 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 the6w .rcdh3m) 16*dutyl)b fsds electric field and the electric potential due to a hollow conducting sphere vary with distance from the center? The origin of the graph represeh3.ystdd s u1d lrwcb )6fm6)*nts the center of the sphere.

  Which of the following is equivalent to th*n18)bns.3u1,ldg s fh9dlsrv*; qsgjwex4xe unit of electric potential differenceduq9*8,n v1slssl.gbjf s;d gxw * 13r xeh)4n?

  Two point charges of −4.0μC and 88.0μC are separated by a distance rrtwd,+tak4 vxpi8.i)3z sgda10x h/ f =2.0cm as shown in the dia8d isid/k .gv,4xz0pfx+h tawr1t3)a gram

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. ops -f225e()0ko 8 rfcgrouoy
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 pointy2lniuyxw(; 6 w *,etl l+dmz2s on equipotential lines are represented in th zwl nmly 2x+iwl,;26t( de*yue 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 equipfct mx3l(71os otential 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 hlr/aji+-yn f7sx, ox(ku hds5-.jz ;of 20nC are 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 dista pw,v5kk6f0wt nce r are placed in a medium with permittivity ϵ. The charges are then moved t 6tp vw50kk,wfo 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 08glhcniw )*h negative plate of two oppositely charged parallel plates placed a fixed distance apart. The potcnh w glh*08)iential 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 exeo3 nrf m3x7/ilzmdb, xv4slr34a4cp9 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 on it is zero? x/vcnrf49 l4zs4b 3d3mapl3mrx,i o7

  Equipotential lines representing the corresponding potentials ac1;+ifhr+, b tnx,ns dre shown in the diagramhc+b drnt n,s;,ix f+1, in an electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges : uhl9sq) b;vj$q_1$​ 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 verf 6vt9m)/n9 prpr1gjjtices of a rectangle. Which arrow rep6vjrmpjr9)f 1pnt9 /g resents the net electric field at the center of the rectangle?

  Four identical negatively charged objem-25p wlpk p-icts move in an electric field along paths shown as arrows below. Equipotential lines for the field are shown. Initially, all four objects have the same kin l5p-imk wp2-petic 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+am36rk ha73 3g ly4ijyn0ebjw t0jf + of potential difference V as shown in the diagram. A proton released from the positive plate gains a speed v when it reaches the opposkmja37t 3jwh0 ni3lf6rayj 4 yg 0e++bite 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 aparh tj:jjsg/g vaj( 3lc( hld25:t. A third charge is introduced between the two jt dh2gcj jjgll: (/h5v a:(s3charges as shown below;


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

  The diagram shows eqoz d2g. dqx;-8pqqb8 huipotential 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 compared to the distayp gs4e4 ye1k hhhi*1(xx3 ;hwnce R.4k;xh3 e y1y*h1 g4ewhhsp(ix



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

  Estimate the speed of an alpha particle that has acc qvin(op,o 6miozc,6 0elerated from rest in a uniform electric fo,6vp(6c,oom0nq zii ield E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the te2 j3p+ntis:d / p0rmtotal electric potential due to two point elect3m:+0rt p eptnsijd /2ric 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 elr 8qyxb0rx4g5 s4k o5xectric potential due to a point charge as a function theg8q x5o4sx ry4r05xb k 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 23j 9lf5asb1j.sm 6j0im kb9m a0cm and a charge of +3.2μC. Point A is used to describe a location 20cm fro9lijj 1mka m5 m0fbb.a ss963jm 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 d jro- h)zpmxzj5j.*f/ istance 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 st5bsr,.c qw*v9yi ge) quare. Charges of +2Q and −Q, and unknown chargese 9) ib,*yc5.tsvqgw r 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?