The work done on a bet g:x cs 4evax.9hzfy*2n7exu:a-minus particle when moving it from Y to X is found to be −10eV. Equipotential linesvcyaee:x f sx.x*hz9ng 2:47 u 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 distar :f:+ d(wce4ol*rm ejnce of 5cm. The potential difference between: o el*4rf:(j+edr cwm the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundnr x9sp ng4-cgd;*re- 4yu/ inamental forces in decreasing order of n /s*rgd9p4n cirg- ue-4 y;xnstrength?

  A beam of electrons enters a uniform electricj(2f7vx;r:qdwd 7ci 4dq x+p q 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, +.ud, b d-jh1ki zrjk(hfpe;ertical electric field, represented by the arrows. Which of the paths shown would require the largest work to be done ,hbhpud(k je-+fr .i kjdz1;,on the hydrogen nucleus?

  Two charges, separated by a large distance, are shown below, along wijwf8 4jto7uh- th the electric field lines around each chargj 4ujf8o-ht w7e.

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 sam h- cvae0xdzsa,v/4e6 e horihvs eac0/ x,zeda4 -v6zontal line.

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

  A plastic rod carrying xvzl ,cy(s+*zz:nj3l;y a(q ga uniformly distributed positive charge is bent into a quarter-circle. What is the direction of the electric fien*ylav(zzs y+cxg(jzq: ,l ;3ld at point P?

  A non-conducting sphere with radius R carr:h9ghp17fjppm.u,: -b+k ogd wpb)bnies a uniformly distributed positive charge with charge per unit volume ρ.Point P bfp:,g uwbj -pkdp7g)+bh m :.h1on p9is 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 li ogto 2m3pzc,lfb-f09+bavd: nes in a field due to A and B. What may be repb-lzotom: f9pf,d vcb 0g+23aresented 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 f8di1) .rqj-z q sfvbq;ield represented by the equipotential lines shown by the lines in the diagraiq - r.jd1v8q;z)q bfsm. 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 wrps 8*,5ldrj to be orbiting the nucleus in the first er*5wd ,8 rspjlnergy 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 shown in th z f 10cv fzpl-x.:igr(7o-hjue diagram. Some of the electric field linh-0v1p uxg i(j:oz-cl.r f7 zfes 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 pairs of g 8f hxs1.ax;m5.odp +kazcdl(raphs represents how the electric field and the electric potential duel d (1 h8o.a.k5sa+mcdxp;fx z 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 un(k 70c b1lftrrit of electric potential difference1r7(k 0btlcfr ?

  Two point charges of −4.0μC and 88.0μC are separated by a distance kcfc6rd* sh 8rs8j 2k7 frz(s7r=2.0cm as shown in the diagramh (7c r88s2csfr7*6 d kskjzrf

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 potentiz 1(3q,uimdl70mssgxwt0oa c34 2 jlyal 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 awh5e vi vvrn;/0).uznj. o-bj75 yolwnd four points on equipotential lines are represented in the diagram showrv ;yi/jzn7v.oejn 5b 5lv0wo h.-w)u n.
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( ,bzrodp +4)z nb4hky 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 2 *z;xo mbj:)as/jjwfhx3u 2;k0nC 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 distance r are plat 4)bk m5-vdypced in a medium with permittivity ϵ. The charges are then moved to apkdvm5t y b)4-ir 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 release+wfyj*j :cjzla /pw kip+f-.0 d from the negative plate of two oppositely charged parallel plates placed a fixed distance +z. yk*w l/fij0:-wa+p fp jcjapart. 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 exert electricr r42-me ,uz ho8w6nyral and gravitational forces on one another. To the nearest order of mawy 4urzh628rnr ,-emognitude, what mass must the object have to be so that the net force acting on it is zero?

  Equipotential lines representing the correspondin q:vkn1k ,o+eqowfg ,kv 4bf;61mk 9sdg potentials are shown in the diagram, in an eleqks;n1qkbv wedk , om9+,f6 kgf:14ovctric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges-hlzywhn 4mg 8k 7x11y $q_1$​ 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 vertices of a rectangle. Wh onw.p: upc, 7xl,t*mbich arrow represents the net electricn,,xcup.7wt ol bp*: m field at the center of the rectangle?

  Four identical negatively xn*44a*,oedgq-38 phfc i( /f gvvfgdcharged objects move in an electric field along paths shown as arro gv vh3o* p, *fdna -i4gfe8dgq4fxc/(ws below. 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 a distance d and conpsmu f, chaf-.s.8 bx6 8ckyi2nected to a battery of potential difference V as shown in the di8,bc6sc8 x mf-2kh..aupyf isagram. 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 anvt :tmih bn 2)koc11fv.l:b0 fd 8C respectively are placed 9cm apart. A third ch0 1. k mhtfv)vbn:t:fob1lic 2arge 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 equipotential lines due to a point chargk3q nus7uxg eivb,x(;y a2q6:e.
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 charty v x0jm wuq76vgy:*(3 r 9xe,afra5wges is small compared to the distan ,y0a6v(:ef9rgw37x * trmqx vuawy5jce R.



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

  Estimate the speed of an alpha particle that has acceleq 9g8fs,0 t+6ozktr cvrated from rest in a uniform electric field,s 0 c8r6zg+fkqvo9 tt E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the totar( p +-gpvcuz0l electric potential due to two point electr0u+p-cvz(rpg ic 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 variatiopqz)+x4 q)+bpk b m)idn of the electric potential due to a point charge as a function the d+ bp 4idp)z mqq+k)xb)istance 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 radiu s903wwwm2n6kbyqlz7zf/ i5c s of 20cm and a charge of +3.2μC. Point A is used to describe a ls b02wlykcwq7w5i3 f/n mz6z9ocation 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 r2 drc(lzz85*w dp+vzseparated by a distance 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 aidsuqd+e 798 b square. Charges of +2Q and −Q, and unknown charges A and B are located asdisub+d9 q78e 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?