The work done on a beta-minus particle when moving it from Y to X isu03zcmp fo (.l;f z.xv found to be −10eV. Equipotentialml03 fp;uvz(ofzcx . . 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 separated by a distance of cga:h 3h*5bff 5cm. The potential difference between the points is 50Va5h b:c3 gffh*.
What is the average electric field E?

  Which of the following correctly lists the fundamental forces in de rv2vz7 vgp)/omnpqut8,;,6 kxp;g b jcreasing order of strengpxb,q )k/v rpg 7;vjvt,pznuog 6;82mth?

  A beam of electrons enters a uniform el/dufjum. uy(g 1* 1uslectric 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 v .st vf(tf0ci/2huc)s ertical electric field, represented by the arrows. Which of the/0c.f (stuifhv cs t)2 paths shown would require the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large dist k n;xxss7o9vlz9q3w*v6 uaa .ance, are shown below, along with the electricv3vs;9oxsaa7 6nz*u k.q wxl 9 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 magnituxoek v7 )0c4krde are located on the same horizontal lo4 7kxrk)0c evine.

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 distribut (q tfjcx.ckpc-s:4 1ged positive charge is bent into a quarter-circle. What is the direction of the electric field at point P1qs xc -:j(t4gfk.ccp ?

  A non-conducting sphere with radius R carries a uniformly distrih (a ier)3zlr,buted positive chal z(rra,3e i)hrge with charge per 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 fm+8ouf(g9japhu; tr 4ield due to A and B. What may be represented by ah4r f;m j+gtop9uu8(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 represent: o9s)n)kzx2qab: zkc mx5c+p e+ vo7xed by the equipotential lines shown by the lines in the diagram. The electron’s path is shown by the dotted lq 7x:)vnkbosz+9cm :zxa +pxekco)52ine.

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 assumljlrk8q/*l u ;i6 efw+8od,gxed to be orbiting the nucleus in the first energy level witi,x86 8f;lq euk*g+ wdl jr/olh 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 df3s,t l):b wpliagram. Some of the electric field lines due to the charges are show3:)p,tf bs lwln 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 8 8gk zu,sbnu4k3vvn2the electric field and the electric potential , 8nu32sbkvnz4kguv8 due to a hollow conducting 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 uc *xbzn)a1y 9dnit of electric potential differencya)b9*c n1xdz e?

  Two point charges of −4.0μC and 88.0μC are separatvy-k yowb g0. -zy4m2fed by a distance r=2.0cm as shown io-42vmfwz 0 .gy byy-kn 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 energy. t7i2 z/yltr j:
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 wm8da(xi7rr7vn h,k/ iq2q j8 lines are represented in th8v rdk/m iar82hnjxwiq,(7 7q e 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 equipotential su h ldh+tatg8bwf)g*6m0(jss 6rfaces 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 fw2 siib c4w z2u8;4utdixed 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 distcglmd+*9 w87s w (akhsance r are placed in a medium with permittivity ϵ. The charges are then moved to ai7ahk +9s* mswlwgc8( dr 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 plat9c2:opj +wzgme of two oppositely charged parallel plates placed a fixed gz pwj9+:2ocmdistance apart. The potential 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 exer;o5) ;v r-ycudn0qtm9v*mlts t electrical and gravitational forces on one another. To the nearest order of magnitude, whcrd)m;5mtt vq *-yson90ulv;at mass must the object have to be so that the net force acting on it is zero?

  Equipotential lines rnu(je+34qm pvhw(lx726 ;hhw ssph+xepresenting the corresponding potentials are shown in the diagram, in an electric field q4 hsw27v +h3pw;sm((ehjx6lh +npxu.
Which of the following is a correct statement regarding this electric field?

  Two positive chargesm) h2k6aake+jejtf4 *( s3d dd $q_1$​ 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 vertiflx( zioj7li3 u+7x8 fces of a rectangle. Which arrow represents the net electric field at the center zxlf ji7+3u f(o78ixl of the rectangle?

  Four identical negatively charged objects move imu l4w/d n3cb-n an electric field along paths shown as arrows belowld3cw/-nbm4 u. 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 a00+os tiz)+wy28zv +nzognwq distance d and connected to a battery of potential difference V as shown in the d +wzgsoyi 8t02q 0noz+n)z+vwiagram. 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 placed 9cm a a:hgsu*wfktfldq (01+ ccw)3part. A third charge is introduce w3gc(f)q0+ tf1s a*ud: klchwd 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 equipotential linexxpykt.wi:sg*afo(q3t( 0 x6s 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 th4f 9:b5pd dz(oll:u gce distance R.u4 lz odbf:dl(pgc:59



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

  Estimate the speed of axxhyvay y;i , t6wc(;3tlvk/(n alpha particle that has accelerated from rest in a uniform electric fiei3xlytych/6( ;;v av, yx twk(ld E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potential due to two poine 02bpf 0q9rext electr0x20be9 rqef pic 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 electric potential du6mth* zh3 bi t1mp0t4ew6t n2le to a point charge as a function the distance r from its center p0nt1i2m6t 3b6zhteh 4*w tlm.

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 2 wc30ifn-6d:eux uik70cm and a charge of +3.2μC. Point A is used to descxd uk ce06ui-nf 7i3w:ribe 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 disrn s;i,mno,w;*- qmz+f th o*1y8cttstance 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 askrizc2zk1 ak q87/tvby, k u(: shown on the corners of a square. Charges of +2Q and −Q, and unknown charges A and B are located as shownkbtqki,ak1 zk( zrvc8 y2 /:u7 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?