The work done on a beta-minus particle when moving it from1v n9hfn o1z1io0s;zmuj4 l1t Y to X is found to be −10eV. 1in9z;0 1n14ltm1 uhs z fojovEquipotential 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 paralle za doxy,rs-t elx43(;l plates separated by a distance of 5cm. The potential difference between the points is 50d, 3azox ys(;e xr4-ltV.
What is the average electric field E?

  Which of the following correctly liss5gp)rm23 s vqu f:2fvts the fundamental forces in decreasing order vsgvfq3 prm)f:u5s2 2 of strength?

  A beam of electrons enters a unifouf+ 2;d6q:xzgsjq -us rm 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 field, reppz9y a8 n q.hddi6:g,presented by the arrows. Which of the paths shown would require the largest work to be done on thd6 zp,h8p dy.: qgi9nae hydrogen nucleus?

  Two charges, separated by a large distanjh8 (.jn;( *bsdihhbz ce, are shown below, along with the electric field lines arounj h;*h(ijdz8 ( s.bhnbd 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 s9im( :/az-6bko( i scd zti:nof equal magnitude are located on the same horizontal line:(tisz 6i:c(s 9zoakn m id/-b.

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 is bent into d)ttt6/ae-t la quarter-circle. What is the direction of thtdt) -l/ e6atte electric field at point P?

  A non-conducting sphere with radius R carries a uniformly distributs+u8; g 3hi r3iz2d9.itlegcbed positive charge with charge per unit volume ρ.Point P is at a distance r from the center of the sphere. gls;ezb 3i+u23.t8ghi 9r ic d


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 j 1oc+kli59i nA and B. What may be represent1cl 5n ij9ik+oed 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 equipotenti k 1ptmei7mvm9zes8sa0 4x1c8i)x0vm al lines shown by the lines in the diagram. Thxmx8s 101tma9 04ve) 7vc8pkziesmim e 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 berplhx 7va w-m*4trgxhh.wq m,p)33k 5 orbiting the nucleus in the first energy le gw qp)a.mwh rrkvpth-7hx4mx35l*3,vel 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 asv.18d 87p evqvc gox-l1 dcgf( 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 did.fov1c-qdpg18vx7v (cel 8 gagram.



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 the el+gql.cgayf 0(h9e ,e kectric field and the electric potential due to a hollow conducting sphere vary with distance from the centecyh .0eeg( ,fagkl9q+ r? The origin of the graph represents the center of the sphere.

  Which of the following is equivalent to the unit of electric potential diffew/lyi*1c di5 jrence? lc j*i51i/wyd

  Two point charges ofyyjhj0f2 j) d5 gcwt01 −4.0μC and 88.0μC are separated by a distance r=2.0cm as shown in the diagra )jg1dj05wcfjh 2t0yym

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 energb 6z 8vvqhp( y8ua8s7zy.
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 represented in hswb-+g:vm(o the diagramvw h-o:bgs(m+ 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 surfacx cxn0n7h7fyxq+y ((zes 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 m cyi5b,7gi6ynsvwu) y 4f6:zat 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 r dkb57m+/u4pzkpj 9 ydj o(/wplaced in a medium with permittivity ϵ. The charges are then movedokkpwz5u/dj 7d 9yr/4 (b+jpm 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 opao) o zp48-x*rx b)wjhpositely charged parallel plates placed a fixed distance apart. The potential difference between the two plates is V, and the electron reaches the poa)h4 oxzr8 p-*xo)wjbsitive 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 objectd6,1zai0oid u9exb 9u with charge +e exert electrical and gravitational forces on a 01euzddoui9bx6 i9,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 corres1q./y egwobbld0d5+k fhj t ,*ponding potentials are shown in the diagram,1 eddbg.k 5 +l*q0tfwybh/oj, in an electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges 6 n48d6)emcl m;l)tdetrk *kyzt)r7h$q_1$​ 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 verticesp:db2wg1 ti3qp1yxa-6y6i3l dp8 d qs of a rectangle. Which arrow represents the net electric field at the center of the rectay2d6 3bg x1yt-:6p q diawp1 lqsdp38ingle?

  Four identical negatively charged objects move in an electric field along paths 5tc: -l)vnmjx(8wqb c shown as arrows below. Equipotential lines for the field aret- lbmjc :wxnc5q)8 (v 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 connected to a batte/ e;x hjm+ qy20gnm7ayry of potential difference V as shown in thjmneq;x7ga+ y2m 0 /yhe 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 respect7o 8( hbhvyw5(mulseu h;c9 :tively are placed 9cm apart. A third charge is inv9:o c5 mh;7uwslyeb uh(8h(ttroduced 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 5.v-4 icaqefzcharge.
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 opk .aq;gazd sqv+905kf the charges is small compared to the distance Rs .ap;aq0zv9 d+kqg k5.



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 in a unib 1ul09 hqv jd (x)zxk;h8ze4kform electric fie4z(bx;eh lk9)xq8kh0zuv1jd ld E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potential z p 81t,-rruxadue to two point electric chx,8-rrut z1 aparges $q_1$​ 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 potentia/yt90qcd em- f.a(fu al due to a point charge as a fu(ffu tc.q0ydaam / 9-enction the 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 20cm and a charge of +zoj5/b2-fmjr 3.2μC. Point A is used to describe a location 20c/2-jrj 5obzmfm 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 separates5cv :i0(fe:hgdp t;xd 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 mqg y+t a0)juquh0dc1 13si* ras shown on the corners of a square. Charges of +2Q a1)hqjs0 duci+u 3 m0yt1q*r gand −Q, and 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?