The work done on a beta-minus particle when moving it from Y to X i14i*q ym 2xkiws found to be −10eV. Equipotential lines are rek4 i12xi*wqympresented 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 parag6n93fwqur4z 1: djx)z ,de ,hvz+dke x;dfy *llel plates separated by a distance of 5cm. The potential differencgvf;1uznq+x4fedh,wj ddd,xzy: zkre) 9 *3 6e between the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundr6.(l;y grsmn n r,q0zsz+ liete+n24 amental forces in decreasing order2;0n+ t6.sgq ysilrrnz ( 4mneez,+rl of strength?

  A beam of electrons enters a uniform electric field, axdk089mr gp;v s shown.



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

  A hydrogen nucleus is held s2:sik 0,ilg;w q i-ljatationary in a uniform vertical electric field, represented by the arrows. Which olw i0,iaq-il ;kjs2g:f the paths shown would require the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distance, are shown beljl q r6/s*/tdsow, along with the electric field lines around each charge.dtqs*/l6rs /j

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 sa7c cmdi)91 bb+gfdpy(me hori )(i9m dcyf1gb7 cdpb+zontal 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 isaykuson, 1et6u 8t-m 0ef0 mgu euf.nm11n/,o bent into a quarter-circle. Wha1o-f01 8.61e0 umfutmn ,u e nnog/ekua ms,tyt is the direction of the electric field at point P?

  A non-conducting sphere with radius R carries a uniformly dist3xnx36ll. 0jf 3qtaa;p vxpe2ributed positive charge with charge per unit volume ρ.Point P ip 3 e.x36ax3xa;nfpq v2jt0lls 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 to A a*4 u/:z+6-nbg/ kc rmmp mrnlcnd B. What may be represented m r//czb*nr 4clmp+mug: nk6- 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 equipotentialcuzc /3u gc .8mwgfh e:/ryv9) lines shown bg9f/hc/z8cv:rwue 3.gmyc) u y the lines 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 be orbiting the nucleuma88 nyu1 e5k )r0uwvvs in the first 1mwk nv80)ey5avr8uu 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 as shown in the diagram. Sy .bqqcp;;dn i1by0. lome of the electric field lid.ylpqc b;1qn iy0b ;.nes 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 o2h5en *uh nu1bcglzi sm 2n4*h0ke .n*f graphs represents how the electric field and the elze hikn*s0chhb2nl5ng * *4n1muue2. ectric 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 equivalentf(f*s 3 jazm-b to the unit of electric potential difference*z- f(abj3 msf?

  Two point charges of −4.0μC and 88.0μC are separated by +w7u85 pqqf+d9 qtwbka distance r=2.0cm as showd ukq+ qpw+759q8wtfbn in the 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 energy.kg9d2jkvp (yh iyx 2j (pz)o.,
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 equi8o4x3/ my)ob k.semzo potential lines are represented in the diagra /sozm8b )o.3 xmkyeo4m 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 -m6lb5ji ;khe 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 charge of 20nC.du ,ofzq:wx; 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 permittivity ϵv tvio8k 03l9e 8m5gpw. The charges are then moved to air so that they have the same force between tho v8e98pt3mgiwv 50l kem as that in the medium.
What is the distance between the charges in air, knowing that $ϵ$=$ϵ_r$​$ϵ_0$​?

  An electron is releas48 6ceckg rykucj362h;,t rrs ed from the negative plate of two oppositely charged parallel plates placed a fixed distance apart. The 6 erk6tj;y rurk ,cscgc2h384potential 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 elecv rt mk.cn.tewh/: 0a-trical and gravitational forces on one another. To the nearest order of magnitude, what mass must the object have to be so th:ah0.k/ tv.tnm e rw-cat the net force acting on it is zero?

  Equipotential lines replt : r(osri3h7resenting the corresponding potentials are shown in the diagram, in an electrii 7r tl(r:3sohc field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges dd*i(sl+/c zx$q_1$​ 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 rectan0 a0 9)g(l; pehhtoi/r1goxe0g7 qootgle. Which arrow represents the net electric field at00)g0t /p h hxog79to;aor(glqeoi 1e the center of the rectangle?

  Four identical negatively charged objects move in an electric field along patf3p 4xz)rk g7ths shown as arrows below. Equipotential lines for the field are shown. Initialx7)p k34tr fgzly, 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 distfphz2dd70 7;ec* k:lm p2uruaance d and connected to a battery of potential difference V as shown in the diagram. A proton released from the positive plate gains a speee0d2hu72k fpdac;p z m*l: 7urd 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 respecpigo hk +a 3pd-9oa27hsfe 4db5*5 xghtively are placed 9cm apart. A third ch3op+xhb4f2ope 5a ig g-d*97khash d5 arge 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 equipotentia)(c w: /hcirivl 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, th. )rqcrmyjll:2f c;u 5e size of the charges is small compared to the dista; 2:ul5rjyrmlc cfq.)nce R.



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

  Estimate the speed of anstvyg*kq1 .pn,+jio) alpha particle that has accelerated from rest in a uniforjpsy*t,v1+.g )oi kqnm electric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potential due;+ 5l os gon9.-bea-yebm4s qwxyab77 to two point electricxe n-a7 +w7bb9lq5omay4 o;s . gbeys- 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 poshwhnoz6ha ,:* 1dm 0dint charge as a function the distance r from itsdm:n *hhs,0aodh 61zw 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 an215xshho*sh( df ,oj fd a charge of +3.2μC. Point A is used to describe a location 20cm from the surf 21hd johosh(f5f *xs,ace 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 as show9c v c( qt5r+*dztyyf3n.

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 theyfo+b sym(+ pbs/) yj- corners of a square. Charges of +2Q and −Q, and unknown charges A and B are located as shs(m-b)s/y ++o yybpfjown 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?