The work done on a beta-minus particle when movi 6qx:r mnyr:hw2l,j( ang it from Y to X is found to be −10eV. Equipotential linyra(j6,wq: 2 rm:hlx nes 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 separated by a distance -q*kv,ogxgm/ of 5cm. The potential difference between thex g ,/v*gkoq-m points is 50V.
What is the average electric field E?

  Which of the following correctly lists the9dx.p r 5kmty. fundamental forces in decreasing order of strengtmtx5d ..y p9krh?

  A beam of electrons ente0a:snavfgg6o 3kvm v/0..t zhrs 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 tr s64 zdm6sz/q9 ,hwda uniform vertical electric field, represented by the arrows. Which of the paths shown would require the largest work to be done on t/sw,6 dh9r ms4zqzd 6the hydrogen nucleus?

  Two charges, separated by a large distance, aa6osfz ylbuk56.cba /sm 8p: bxf3f 2/re shown below, along with the electric field lines around each ch/b8.s: y 6b/faalf6m 5sz2fup k 3cxboarge.

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 magshfx2c rmt,nj q(2py5 *z+o h-nitude are located on the same horizontrs2- ycq2tj,(x h+hnm5po z* fal 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 unii ged)w 6(m42q :;wveo ;ou-wdq uok4kformly distributed positive charge is bent into a quarter-circle. What is the direction of the electrigve:edoq )w;m ; kk4o46q- 2o(u wwduic field at point P?

  A non-conducting sphere with radius R carries a uniformly distributed positive 2;ypymy8 1srcg -*)tp /1m jyf copu/zcharge with charge per unit volume ρ.Point P is at a distance r from the cenf;2- um1 rs/c1yg*z yp/8mpojpytc) yter 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 li.pe2ito ,nyy2 :gq 6xones in a field due to A and B. What may be represented :oxtgyip6. neo2yq2, 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 equipotential5y,:i / fzvybi lines shown by the lines in the diagram. The electron,viz i/yb5yf: ’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 orbitid2 i;gf/dyfo0xj 4r l9ng the nucleus in the first energy level with 4/lxf 2irog; y0d9jfda 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 charges4uch)5)2*fqc t* iumsgppye5ez9rh uyml/ 96 2Q and 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 2 guh5ezut)9ip lhuc* spf*) m4qm9/6e5y ryctwo 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 ofww,i9v e-jmu,q)e mi,oi.sh/( j.t us graphs represents how the electric field and the electric potential due to a hollow conducting sphere vary with distance fr, sj/vew i,j (-)tuiieqmum.ws.9,hoom the center? The origin of the graph represents the center of the sphere.

  Which of the following is equivalent to the unit of electric potential differenc/p dl8 3ob7*kj5xltfbe5* obdx b3jlklf7/tp8 ?

  Two point charges of −4.0μC and 88.0μC are se 6 r77vkx8jypz,n as1qparated by a distance r=2.0cm as shown in the diagram 8,j n6qrax7v 1szy7pk

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 potentialc/,4fr) s-u )hhwzh /tidpzbc;v(* ro 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 on erzf-.3 dd wsq;quipotential lines are represented in the dia3 -w;zsdf.drqgram 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 equipotentiae q6)y(e3 v*r,tvndi al 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 held at a fixz6v.2ifjd0q+ cay0-o , )aip npa-snted 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 dirn)lgy7lvwbn17r*w ud: (5wa stance r are placed in a medium with permittivity ϵ. The cbwlngr)ywuvn:l adw 1 77r*(5harges 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 oppol99wqr csjq+v u kjq +fpr1z) s9x)s(6sitely charged parallel plates placed a fixed distance apart. The potential difference between the two plates is V, and the ele9z)su+9s rp1(s6jqx r+9 jcwqlq k) fvctron 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 obn4;/ qwvmjtb6fhclo r:w 2 u)9ject with charge +e exert electrical and gravitational forces on one another. To the nwr hl ;9 utn :fbow/q4)cj2mv6earest 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 co1q;k-st5/v szt9 kdlxpj5 -alrresponding potentials are shown in the diagram, in an electric /tl-st sjzdkx a;5v1-9p5 qklfield.
Which of the following is a correct statement regarding this electric field?

  Two positive chargesnnyi,a3.z*6ro wmf vw;, l,aq $q_1$​ 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. Whiuvf8vq sd2gmw2o5p/27 e inu5ch arrow represents the net electric fieldu 75wqmvp2 58/di vn oe2u2sgf at the center of the rectangle?

  Four identical negatively charged objec ca0tty e+ger/2y/rb /ts move in an electric field along paths shown as arrows below. Equipotential lines for the field are shown. Initially, all four objects have the same kinetic energy.tgb/ ry/y0e+t /rcea2

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

  Two parallel plates are sep.lhc5y* 4nb6xur u 0wharated by a distance d and connected to a battery of potential difference V as shown in the diagram. A proton released from the positive plate gains a speed v when it reach*0nh.c5b xurlwy u6 h4es 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 ad: mpy35n/n cend 8C respectively are placed 9cm apart. A third charge is introduced between the two charges a p/5cne 3mydn:s shown below;


At what separation, X, from the 2C charge is the electric field strength equal to zero?

  The diagram shows equipotential lines due to a point chargel*l 8pwnl4 p;u7(izu r vui/m(.
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 chargem9ucchi:7 3hs zjn3h(s is small compared to the distanci73 9cnmhz (uhh:3sjce 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 rest in a unifgfy,vy xj hwn3iw1k* 1c,4ir4 orm el4j,nhi x wyyi13 kf,1vr*4gcw ectric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric aj( 5,tv7y8 g q5:vw l1qaol9ivr2rli potential due to two point elg5q:1oj al2v9itvyv( lq7 irw85r la, ectric 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 w(o bv(oktcsi -q:9mif5l8h(a point charge as a function theo-t kwbivi l( ((8:h9csmqf5o 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. P8if4v rm)zct8 hb2vx11/ keswoint A is used to describe a location 20cm from th/wim4kb)t 1xe r8sv2zcf81h v e 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 byotx-zdw uv20 d: v*(/x 5eqtzf a 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 of +ryly17 ;2*x j3hjxgng 2Q and −Q, and unknown charges A and B are located as shown on t xl1*yxg yr7 jgn3hj;2he 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?