The work done on a beta-m1w -z *d4 zsry5,mksaiinus particle when moving it from Y to X is found to be −10eV. Equipotential l-sya,w mdz*z45k sri1ines 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 parali6-n0 girs-- q;4z hox cadby9lel plates separated by a distance of 5cm. The potential differebxcdgy;--z 6i 9so4 ri-nhq0ance between the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the funda4) 0q:ks ajowz3x1 xemmental forces in decreasing order of strengto z w:)x0jaes4qm13x kh?

  A beam of electrons enters 6g( 58 dk u2c, dbmb4yvcu/ka tvqy+g5v0ge1y a uniform electric field, as shown.



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

  A hydrogen nucleus is hef50jmq*rj fc* wq0fk 6ld stationary in a uniform vertical electric field, represented by the arrows. Which of the paths shown would require the largest work to be done on the hydrogen nucleus? rqc5 mffjqjfw*0k60*

  Two charges, separated by a large distance, are shown below, along with the nd4rs/wxh/w-43a pz qelectric field lines aroun/z 4-3n/wx p4dahqr swd 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 mwp75u0gs35 nq,u* g yi9uc+ycb(wjnnagnitude are located on the same horizontal lwpqbuy+n5 5(gn0s jugcc37yw,9 un*i ine.

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 disvb2j z67;r jer6j/jksv7i 3i gtributed positive charge is bent into a quarter-circle. What is the diivejj27s;krjz36jb/7 r v6igrection of the electric field at point P?

  A non-conducting sphere with radius R carries a uniformly distributed porpp fjhm 6(05p f1c8nxsitive charge with charge per unit volume ρ.P(xp 60h5rf8 p c1jfmpnoint 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 tk *;(owuvl*w eo A and B. What may be represented by A and B? o* v e(w;wu*lk

I. 2 equal masses.
II. 2 equal charges of the same sign.
III. 2 equal charges of opposite sign

  An electron enters an electric wdrw pmh;8. ht/)cjr1field represented by the equipotential lines shown by the lines in the diagrapwr cr1; )jhd/.wtm8h m. 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 lu(w v-xf+9xl q1c;g;op6wcve orbiting the nucleus in txpvq-o;l;ufc69x w 1vw+(l gche first 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 located-gjitl2 /v:hk 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 oni2vlg- htj/k : 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 gra(h(p c.mur/ydsd16: gd kbor7phs represents how the electric field and the electricr:yhkop 1sm7 /.6r(d bgdd (cu potential 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 unr3qy+f3phr g6+uo t 6kit of electric potential differenc+t rqhk+uf6 p3g6 3yroe?

  Two point charges of −4.0μC and 88.0μC are separated by a distancey g/ bz.dpri:dq; , o)7b4fzpe r=2.0cm as shown in ) d q:.pbeigrdpz4y,b; f z7/othe 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 potenx*x;t/ cr*zb;a:e 43o 7+ahrwnnazjntial 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 and four points onu8 yjx7m.gpwee4jr(qc/ u 3g: equipotential lines are represented in the diagram sh gu :ew3/4 prmju8gyx7ce(.jqown.
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 twooh) (f l.h/s- bsk/gbs 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 arepu ch,gol.,6;y h ip2f y4nvp0 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 placed in a medium wqlout57(h+; bnk jvm59g t+ uzith permittivity ϵ. The charges 9vou7tq;zjnuhkt 5 (5m++lgbare then moved 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 oppositely charged para t ok/ih.3. 8oiozv0mwllel plates placed a fixed distance apart. The potential difference between the two plates is V, and the electron reaco/8.mvitiz 0.owoh k3 hes 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 objec95t5 6g/7iz oxb:pu o3n*pxshgu zb,ht with charge +e exert 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 fg7 n9zst/b 6:3upoo,iux5px 5bzhh*g orce acting on it is zero?

  Equipotential lines representing the corresponding potentials are shown in the dm8o3fi/ie )d aiagram,m iidfea/)83 o in an electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges; *qj) pmzzvi cgbk/l*8pn3vo l/un1) $q_1$​ 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 particlzj(ay 57lxub,8hdy* ges are at the vertices of a rectangle. Which arrow represents the net electric field at the center of the ( z , jhdu5bax*78lygyrectangle?

  Four identical negatively chargedn p*x6x)2nn ddci4n;8 fcqmm 2 g1z.kg objects move in an electric field along paths shown as arrows below. Equipotential lines for the field are shown. Initially, all four objects have thf;ckx 8n.mind2qg m*dgpnzc 26nx )14 e same kinetic energy.

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

  Two parallel plates are separa r1j2-nk*hqs/-ylwp.q2ggmd il jf, ,ted by a distance d and connected to a battery of potential difference V as shown in the diagram. A 1*fk,qg2hi2jy, jqmlln -gs/ r-dw p.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 ;9*bt k(qu/ypqt bba14won4q 9cm apart. A third charge is intr;qn*yt qu 1bkboa(4pb9 qt/w4oduced 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 equ o7b 5o)i*sfm7h6nubz ipotential 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, 6k*0-hy 8mh pugy5p gtthe size of the charges is small compared to the distance R.ph *y kyg60-mhg8ptu5



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

  Estimate the speed of an alpha particd2mcu( y/ ap( i rzo(tj*o+i)dle that has accelerated from rest in a uniform electric field E=50 a pcd2*rdz ((o+(yo) ii/mtju$^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the bm uikv*; irty*r5;dh p8 :6srtotal electric potential due to two point electric chu i:8y; *vdkbh; ipr6t5*rm rsarges $q_1$​ 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 due toar4e 1wc(y0l o a point charge as a functiona w(c01roe4yl 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 hqzdw. x4) ;r-5ngykoa as a radius of 20cm and a charge of +3.2μC. Point A is used to describe a location 20cm fro5;)anx d 4yzg .krwq-om 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 distance r+c3xjy l f id6xkypk15o9t(l- 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 ) vg2vy0cz2f nw ry30:i6bapqplaced as shown on the corners of a square. Charges of +2Q and −Q, and unknown charg2)n0y z yq 0:wvg3barpcvi 62fes 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?