The work done on a beta-minus particle when moving it f )9jxbw(6kb zirom Y to X is found to be −10eV. Equipotential lines are represented by 9 k)z6 ibw(bjxthe 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 separated by a dis2n1w2fe yi0zk7x9 sxbmg2x3 *c v.x aztance of 5cm. The potentiale sv2y9mx23*k7cnz1a x 2x. f0 zxigbw difference between the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundaa)r9e: kd/y9(b. lluk wyfg:imental forces in decreasing order ofli yy)9dae u/ .:9r:(kw lkgbf strength?

  A beam of electrons enters a uniform electric fit)99hvf8o b0k 4e /1gcv.2rfjro(rqz nf4 gjm eld, 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 uniuxgm:4 8.q +jstymke7form vertical electric field, represented by the arrows. Which of the paths shown wo4 km8q jysme x7+t.:uguld require the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distance, are shown vtr43- 9nvzq5r) qz kwbelow, along with the electr9tzq)w3r n-4krv q5zvic field 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 thfe;47 yyy va;ae same horizontal lv7 yy af;y;4aeine.

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 distributhqf h51u;(pb cgf5e q/ed positive charge is bent into a quarter-circle. What is the direction of the electric field at point P?5(cgb1pqu he5qfh /f;

  A non-conducting sphere with r8vv1adx4vqb h185u e0q xxpe-adius R carries a uniformly distributed positive chardhpx4e8v-b1e8 1 xqa v0 uvxq5ge with charge per unit volume ρ.Point 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 inlhbbw0zc,vplpv9lc:cf *p 37 -fn /r* a field due to A and B. What may be represented by A vpnr bzhp0 b9-* lclfwf/l :v,*p3cc7and B?

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

  An electron enters an kzln3 mj/43xhqj5 - hkk zo(e)c.ox3gelectric field represented by the equipotential lines shown by the lines in the diagram. Tjeoj -4()q o l3kkz/hch53xng3x.z kmhe 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 electr,q *5ctsw+;jr 7e wf;mo cqfflp.07adon assumed to be orbiting the nucleus in the fid* j5p,lmfq 7a qwfr;ec0tsc.o+; w7frst 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 dia1su;a e5l/ckboy v-cdvd i1*4nn// ri gram. 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 ton c 1b *y-5evc41i;/ d/sir v/lnkaudhe 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 represents how the el4h-aq 4pjlopjzvj.om0v 2 . 3*nim4wrectric field and the electric potential due to a hollow conducting sphere vary with distance from the center? The origin of the graph represents the center of the spheremr4.oj*vm.pn 0-j4lw3hi vpo 2j 4zq a.

  Which of the following is equivalent to the unit of electric z /)tb09vxdrmfqf8c 6 potential differencec/qx0 d98)ff m6 rvbzt?

  Two point charges of −4.0μC and 88.0μC are separated bb3qm+jrjpgx5 (4n wcsk:* wr 1 :uyw9yy a distance r=2.0cm as shown in the di 5 +nguswwb*yqjr(x3w j1:94ypm: kcragram

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 en g /zvcqtz;/u t:vyuoe8:(r2cergy.
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 equiazyw -(z3gu9jwak7 /.ayq/v+n-d bgu potential lines are represented in thn-kq/ad gw3gzw./7z-y( 9u juyv+abae diagram 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 e.7z/4ls6t b kcb e;ly5ypa ,ydquipotential 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 are he6oif.g2 2uno-+ vmv guld 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 a0h8 zj isn0mq;cfw9h.re placed in a medium with permittivity ϵ. The charges are then moved to0j.q nzw9;sc08 h fmhi 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 chargmx duy;u 6(f7no y alqcih47-zj 7b(a/ed parallel plates placed a fixed distance apart. The potential difference between the two plates isd(fx6j inz4h7by7u aq7m; cuoy-(al/ 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 electrical andm46vmi* e ce-gqe8jr6vzyb.+ gravitational forces on one another. To the nearest order of magnitude, what mass must the object have to be so that the net force ace8z6+qmj*eevmvbc-6gr4 i y.ting on it is zero?

  Equipotential lines representing the corresponding potentials are shown inap11vwx swtx 9d-v)(p the diagram, in an elwv1 ws-xtx9pvd )a1(pectric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges 8d.ao d m-9bhy8z: iwrtq;2cj$q_1$​ 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 rect4 md:pgho1( vr /:xwgzangle. Which arrow represent:hrv /: (z1oxp gdw4gms the net electric field at the center of the rectangle?

  Four identical negatively charged objects move in an electric field along8yf6 mp* m*:hp:e5rv m tnh-im paths shown as arrows below. Equipotential lines for the field are shown. Initially,phn8 :m*r f het-mm yp5*ivm:6 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 disumjcmb 82ewq9o5 0i6ktance d and connected to a battery of potential difference V as shown in the diagram. A proton released from the positive plate gain 9jq08iobemkmu 2w 65cs 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 respectiveln0el9 d2nwr ,liuvux;7 sxa5;y are placed 9cm apart. A third charge is introduced between the xus l0 ;u7,xn r5;al2vi9 wndetwo 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 /i unn h-q ;m8)tc/rkt9a3nycto 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+/ hii2a y d))cej3qnu is small compared to the distance 2/qud e+hij ))3yinca R.



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

  Estimate the speed of an alpha particle that has accelerated from-2 rk,; czjd;2dgj b gi7z)esb4x4auh rest in a uniform electri r2zd;2i u,zs7jbx) ; dhj4-4eagkg cbc field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variationqs lg0 cwddqo/2/ 2ln) of the total electric potential due to two point electric charge/qdl 2snqd/c )0g wol2s $q_1$​ 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 charge aup+n3 wqeqz;( s a function the distance r from its cente;uq(ewzpn3 q +r.

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 chargl+1mb*fzjsupigg1 c/ wp 49v6 e of +3.2μC. Point A is used to desc pu1+l fgw1m4*czs6 /igp9vjbribe a location 20cm 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 separated by a distance r as shown. e/gg a ge)qq 3mi48ei/

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 corners ofz5 s0 5 u,.3 hxxi84trzahfqvj a square. Charges of +2Q and −Q, and.a 8,5 s0x 35rt4hizzu hfjvqx 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?