The work done on a beta-minus particle when moving it fr2wi3 ,da7z)n2fl tf d-v/ ltvkom Y to X is found to be −10eV. E/-wiffd7a vdt,2l l32tn kv)z quipotential 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 jww.wz7y ll .+two parallel plates separated by a distance of 5cm. The potential difference between the point.+wj .zwy w7lls is 50V.
What is the average electric field E?

  Which of the following cokew1+ pq-dzl,.qcl vuf.2ao/e f3e, x rrectly lists the fundamental forces in decreasing order of strengtc, v.eq+fl/3qfo12dwe,z .-uaxlpek h?

  A beam of electrons ente nxadmtj *u)q(f5m1 2urs 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 held stationary in a uniform vertical electric fj:- jv;5og9ux fu lot6tyjv.;ield, represented by the arrows. Which of the paths shown would requiju;jo; t.v95 oyj:x6u gflt-vre the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distance, argne5+qe dgwaw q):ut1/xx )je/o1fj-e shown below, along with the electric field lines around each chargeut1aex1wj-+)/ 5egeqq :od wxg /)nfj.

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 6z znk,zae)e1on the same horizontal lin)e6zeazn zk 1,e.

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 ddvap 0g:iav 1b2q6su:istributed positive charge is bent into a quarter-circle. What is :s2 :i v bd0pau1gaq6vthe direction of the electric field at point P?

  A non-conducting sphere with radius R carries a uniformly distributcb:nmv4jztz k407,xb t*t dt1 ed positive char td:v 4z1z 0t7bn *ttjkcx,b4mge 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 in a field due to A 6 4rev(qfcmq+- omdhw4: qan*and B. What may be represented beah 6f:+qvw*r4n4- mdc(o mqq y 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 eqwwmt3;a ; k3douipotential lines shown by the lines in the diagram. m;ta w3;kod 3wThe 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 electn5v1zmkz0 nvdt o5gw3q*ow+ 0 ron assumed to be orbiting the nucleus in tvn tzz0o+g 1ok0d vw mq5*3n5whe 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 e;-tc76s0unu du/rl eand Q are located 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 tw uc7te0-ur;6 u/ed slno 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 by.y 9a:vbqef-fz(m 8kb1wd6pairs of graphs represents how the electric field and theby qf1v8d:z 6mwfa- b b.9(eky electric 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 unit of electric p;zosu *t1w mu/0 gp8j5mvi1ncotential difference?10no z/s gm m*wut1cjv8;5up i

  Two point charges of −4.0μC and 88.0μC yfokpf5jj a9*(n46xjare separated by a distance r=2.0cm as shown i jp9yxofn4kj*56j(fa n 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 enerbkth6zna(1a 46p ;roo/ncvv- gy.
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 lineo rvdr e )8ld( k) non+di9tsn0.6uyt.s are represented in thenld eo9+t. n.6 vddo nu0i) )(rrykts8 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 equipotential surfacnen 6lcb7wc hi,m 1ht*r0 h)nj0ch f)7es 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 chargeb5o+a ack3dp. p j(u/x 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 ba/d vi)9 haj d3jdb+k/y a distance r are placed in a medium with permittivity ϵ. The chargi)jhav+ad/bj9 /kdd3 es are 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 paralj8 )mor;/m;j af2)f.fye olyk lel plates placed a fixed distance apart. The potential difference between the two plates is V, and the elec2/;)mom fyl.aj;jrf k)yo f8 etron 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 and gravitational focayur+(w7/, imw y1o arces on one another. To the nearest order of magnitude, what mass must the object have to be so that the ne7,u/a ww+oc yi(ayrm1 t force acting on it is zero?

  Equipotential lines representing the corresponding potentials are shown izgnh4md; 3t q-n the diagram, in an elect3hz gnm q-td;4ric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges d9ah+b.t1z.+ig 2yw )dgatac $q_1$​ 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 rectangle. W bq3i9;gwn. yd)npy7khich arrow represents the net electric field at the center of the g p7)b.9qdnikyny;w3rectangle?

  Four identical negatively charged obj:w wgo 29)v,n ti,ncntects move in an electric field along paths shown as arrows below. Equipotential lines for the field are shown. Initially, all four objects have the i c nno2:, )w9,ntgwtvsame 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 connec d ui. go2wy/qp1k+s7uy *gfp3u;xrc3ted to a battery of potential differuu1py f*p3wck+g2 i3u7d;g xorsy q. /ence V as shown in 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 charges8 )/qkd. t :rah0k1lyjit y5f0kw3 jlw of magnitude 2C and 8C respectively are placed 9cm apart. A third ch:k5wqi j08k1tjlyw.r ka30fdy )thl /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 equipotential rdv 2 dvro4wkz-ut+ 3fos46r.wf06pjlines 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-jp2zjd6+7cbvh 1tia.3 x y et, the size of the charges is small compared to the distand2ati7 t y- xb c3jzvhe.j1p+6ce R.



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

  Estimate the speed of an alpha particle tikdf6ufp3 4:c h88 bgkhat has accelerated from rest in a uniform elegc8k86 hi 4p:f 3dufbkctric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the t -t,2dclaif+mpj. e o0otal electric potential due to two point electric t.,i0m aj+el2ocd-fpcharges $q_1$​ 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 varia* h2sboe/n6 mxtion of the electric potential due to a point charge as a fb2 *6x/m nhseounction 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 +3.2μC. Point A isuo yawz2:-q3w mh+4 co used tc u32ozy+wmqa:4hw - oo describe 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 :2c,wens, dirgt l n;oni(k2db(fi89a 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 as shown on the corners of a square. Charges ool50 t;z4drrm c0a/ oaf +2Q and −Q, and unknown charges A and B are located as shown on theca;dmoz4/ra5 l 0o0tr 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?