The work done on a beta-minus particle when moving it from Y to X is found to beq0kf)l( wbl:bb5(g h i −10eV5 b bfbih0 lwq:lgk()(. Equipotential 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 separr4pp6nfw;2e uae qkp30r0ypbm 4 5)ntated by a distance of 5cm. The potential difference between the points ie6upybw pn)rn400tp42ef q3k m5 r;aps 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamhz89 o z1jkcuk,sxlrg--)l e9ental forces in decreasing order 1u -r,xk9 o)zlg sc9 hez8kjl-of strength?

  A beam of electrons enters a uniform electric field, as shown. x*ohz vle)8 e.



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

  A hydrogen nucleus is heldf.p rmqn+ lr-b.xwt99 stationary in a uniform vertical electric field, represented by the arrows. Which of the paths shown would require the largestn9m x..w+b qlr-9ftrp work to be done on the hydrogen nucleus?

  Two charges, separated by a large distance, are shown below, alonjncv .w2sduot07 ta+2b1/mhlv.w mu, g with the electric fielddoa7w v, m2.sjw2uvn 0bt/ mlct +h.u1 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 magnitude are located on the0tcslp:sesxs,q,k7 30)qhr u0(b jim same horizont,x ,ht)mi(s3ss k pslbc00uqj:7 0q real line.

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 bentog*(2qc i (t:whvcd7 j into a quarter-circle. What wc d(7q(ijv ochtg:2 *is the direction of the electric field at point P?

  A non-conducting sphere with radius R carries a uniformly distr /ix6axkj*o9v qtwswcu9k*1:ms :dw:ibuted positive charge with charge per unit volume ρ.Point P is at a distance r from the centsv:da*:iw/6*wq9k1c m jkx sxw:to u9er 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 equipotenm;e 6 eziqyqdj6y6q8xwp79u-tial lines in a field due to A and B. What may be 6y7id-q66y qzepme9wjq8ux;represented 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 repre zuqxr- 2 wuqxt5k7c76sented by the equipotential lines shown by the lines icuzr5uk7xqx6 2 q7-tw n 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 be ore8:z 9uhe*uc bbiting the nucleus in the first energyz*bch eueu9:8 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 the diagram. Some of the ld50ikb6u.n vn-mz1 o0f:nc x electric field lines due to the charges are shown on the diagram. Points P andl6b.n 5 i:mnvuk0c-nx0f doz1 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 represrtpm; .14ugap ents how the electric field and the electric potential due to a hollow conducting sphere vary with distance frap grp1;u t4m.om the center? The origin of the graph represents the center of the sphere.

  Which of the following is equivalent to the unit of electric potentivquq;s)2; j* w/l hhlval difference*u;; wqh)qvls 2 j/lhv?

  Two point charges of −4.0μxf gds0 2;b+qpy;y z8jC and 88.0μC are separated by a distance r=2.0cm as shown in the diagr8+x; fqyb;y 2p0 gjzsdam

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 energys (qnd,xylu,- .
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 equipoten rk52fchg(8i hxo,: m mms+-eftial lines are represented in the diagram2m:i8-efso x(k m hf hmrc,+g5 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 w 6)*a8ylvqu. 8j.sy+wp7sih xia+iw equipotential surfaces 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 cha8e gs)8y+ s +i roksdacct-6)nrge of 20nC 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 placed in a medium with permittivit.4e )t tyyc kxr*i6b)gy ϵ. The charges are thentbkc y 6i.g)rytx*)e4 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 chargn1wpor3l:l znmgjlo 76 t) w;:ed parallel plates pll g::oo1r)7w 6lntwp3 z;nljmaced a fixed distance 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 objecyp0023ih rbu l2s iac5t with charge +e exert electrical and gravitational forces on one ano2p 0a2hsy3ciilr ub50ther. 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 correspondjyf lj0nf8qbi 512 b7+mkl; ms bu*9ocing potentials are shown in the diagram, in an electric field. m2fb5*qj8k bci0mu; n+9 ys l1 lbojf7
Which of the following is a correct statement regarding this electric field?

  Two positive chargesfxo- vc+kcq xn8v(v(o7 z,mj7 $q_1$​ 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 theh 85nglh q9bc:d f,q9c vertices of a rectangle. Which arrow represents the d89: ,cn h clgfhq9bq5net electric field at the center of the rectangle?

  Four identical negatively charged objewbmve1-/pi 8c.n a8znpv56rw cts move in an electric field along paths shown as arrows below. Equipotential lines for the field are shown. Initia n bc1iz.mr-6w5pwv88e n pva/lly, 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 battery 9k ywc3mpaz l 0 jpb8jlj/z6k,v 9mm8,of potential difference V as shown i,v9am6 ljppjbk/0mzy3ljz mkwc 889, n the 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 2Cwhiq8 :oixi 8 dy8w.ll:b ze8k sj8)0q and 8C respectively are placed 9cm apart. A third charge is introduced be80ixobw8hyi )8q slw di 8klj:: eq8.ztween 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 linesv8zlk: hl4 d 0 cstge. :tb y,uv*;ksfg18oud- 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 sm0qedl*grr.5 73ilt 0q ffijm(all compared to the distance jf0q*d mr 5.li 7e tg(li0qr3fR.



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

  Estimate the speed of an alpha particle that hr ,3g-r(vdj( cs2yjrh as accelerated from rest in a uniform electric fier ygj-jr vh2rc(d(3,sld E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the 49+s k06nnwmiw:2fsv c uw.ib total electric potential due to two point electricnini w9:b wsmv 0ckw2su.+ 6f4 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 due to a point chargz: rld8(ait*w)fhv 0ne as a function the dist)da(h zt*i: l wrv8n0fance 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 hasfy1rrm ,xyo4.f .j ndiil,fv,y 6,g4y a radius of 20cm and a charge of +3.2μC. Point A is used to describe a location 20cm from the surfacly moffx1y.f ,, ,6gr,id4j .yrvy n4ie 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 rik gx)rs 16eh8 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 coriopf0fb9p h66 1 1i9tdnoy(agr6yd b1ners of a square. Charges of +2Q and −Q, and unkp9 t6gbyoiaf6(o rnd0h19ydb1 16 ifpnown 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?