The work done on a beta-minus particle when moving it frdvk:4n0kj7 yov7pgu 6om Y to X is found to be −10eV. Equipotential lines are represented by the dashed lines 4 :v7v nkkud0j 7ygo6pin 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 distanc zod3 t5)c4ul -(xywn(zwu1wc e of 5cm. The potential dw) n ((c-o3dl4twuzwcxzy u15ifference between the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamental f w67zpnx)gi2 eorces in decreasing order of strength?p7ei2gz xw 6)n

  A beam of electrons enters a uniform ele( ag9*( k0g y(aolb6um1qxneqctric 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 uniforxd yyd43gm7r bu/ /0djm vertical electric field, represented by the arrows. Which of the paths showydyrxbju 7m3 dg/40d/ n would require the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large dzc 7zhkk t/h0 :akdw)-istance, are shown below, along with the electric field lines ar0zk /7w :dckz-h t)hkaound 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 neg/k z:uvnm 3n +s-b)bynative charge of equal magnitude are located on the same horizontal +mbyznnn /3v uks )b:-line.

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

  A plastic rod carrying at:cacn,* rd 1ha.3d ww uniformly distributed positive charge is bent into a quarter-circle. What is the direction of the electric f1,*.ac3awwdd crtn: hield at point P?

  A non-conducting sphere with radius R carries a uniformly distributedcjbrr 8 vqs6q16:9jwb positive charge with charge per unit volume ρ.Point P is at a distance r from the center jw8r bcqs:v61qbj6r9 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 equipotentflk- l.xu3sh- q +c8nqial lines in a field due to A and B. What may be represented by A and Bx-u 8qqc fk-nlh.+ls3?

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 byfvko) e*)yej +e5kfh26vz1o v the equipotential lines shown by the lines 2eo)j*+e vov5vf6kyfke1 h)z 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 b.9 kbzrcvwm3 gxv; ,z,e orbiting the nucleus in the fi,,;c vw 9k3gb.vzz rmxrst 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 Qebyp96,ll 0u5phz gu7s t7d rmf sa8:+ are located as shown in the diagram. Some of the electric field lines due to the charges ah6e za9mbu:sr0ps g 5pl+,ltd877y uf re 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 grapy tm. o2;0 ymfi/** craiwtno:hs represents how the electric field and the electric potential due to a hollow conducting spyf oc* mitantm2 /0*:rw i;.oyhere 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 us z 1auvrg7( n+z6i)e7 lrtj;tnit of electric potential difference?7 zezjl1ru n7it6t+asvr); g(

  Two point charges of −4.0μe5, 8r9vo7:iw mtp3qgihqz+ nC and 88.0μC are separated by a distance r=2.0cm as shown in v7 qqzh eiowt59i3p n ,m+r:g8the 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 ener 9r rzm,be2p0c-lx2t ggy.
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 represente a4+s/p 5(:iumdelsw7c:lsa7y tqya+( o)fyyd in the 5l a7swpidafy/om +l4y :ay:cysq(e (+ut )7sdiagram 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 l5 pgark7(4x sn)./q oq3je xcsurfaces 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 2ghxiz80 wr g*q l/o q6hdou7li--b9afixed 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 pf* . uajc n1bc.vkam,3ermittivity ϵ. The charges are then moved toa*v3 na,ju1b. cmf.kc 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,-3o m*xl z ybmsbc70vcd8v6r negative plate of two oppositely charged parallel plates placed a fixed distance apart. The potential difference between the two plates csbolcy7 m6r-v b*,3xzdv80mis 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 w:z4w xu2yf3ac: hb5 l.fvopw9ith charge +e exert electrical and gravitational forces on 9clya4w5wxv 3bz:f :of2p.uh 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?

  Equipotential lines representing the correspondi1kllv/ hr i-qrr8j;ow:-/e h tng potentials are shown in the diagram, in an ell vht//8kwe-r;l1:hr or -j iqectric field.
Which of the following is a correct statement regarding this electric field?

  Two positive chargesh2rkj/wv i ah;h6y(-u *anq.j $q_1$​ 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 q(,a(rzl1tv ivertices of a rectangle. Which arrow represents the net electric field at the center of the re1vlzr iq,(a (tctangle?

  Four identical negatively charged objects move iic 7ma/tynzt. q9vgr 3b);s+mn an electric field along paths shown as arrows below. Equipotential lines for the field are shown. Initially, all four objects have the same kinetic ec;yami9ts.v+q mgn)zb3r t/7 nergy.

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

  Two parallel plates are separb.coc,,nvq 4nt5 1dgxated by a distance d and connected to a battery of potential difference V as shown in the diagram. A proton relean bqx1,,g o4 vc5.ctndsed 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 up j: ncm(;3awp xxmri,*o7 l)2C and 8C respectively are placed 9cm apart. A third charge is introduced between the twoop7rw u*nx3; c xpm (,m:)jila charges as shown below;


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

  The diagram shows equipotenti5 ,:ue gvfqj0zal 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 sivma g)e2ry*s3 ze of the charges is small compared to the distanc*grem2)3av s ye R.



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

  Estimate the speed of an alpha particle that da8b 0n e6. tydt l:3;vf0avkyhas accelerated from rest in a uniform elec al 0vte.; d6y k8b0a:3vndftytric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the to;csof3 f5( qootal electric potential due to two point elec(sc5 fofqoo; 3tric 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 dsxsht.m1 9:wvariation of the electric potential due to a point charge as a function the distance r s 1tdw:sxm.9h 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 charge of +3.2μC. Point A is us l75 g-a;pzdbhed to describe a location 20cm from the surz7-g;dhlp5ab face 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 die -f;7gv 5gckpxe0 3odstance 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 mfx*19ysc p u(as shown on the corners of a square. Charges of +2Q and −Q, and unknown charges A and B are located as shf9y* cux(p m1sown 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?