The work done on a beta-fu0 1vhkns+bh4s y//b minus particle when moving it from Y to X is found to be 1fu v0n hkhbb4/ssy+/−10eV. 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 separqc. .zd5)zf coated by a distance of 5cm. The potential difference between the points is 50V. 5z. f cc)dozq.
What is the average electric field E?

  Which of the following correctly lists the fundament,m b txyy 6nbqgi +84ac)q)1odal forces in decreasing order of strenxg1,m4 )8doq c+a6 bqt iybny)gth?

  A beam of electrons enters a uniform electric field7 ed2osvw :c .ps3+cge, as shown.



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

  A hydrogen nucleus isst)kz),9 ntmg held stationary in a uniform vertical electric field, represented by the arrows. Which of the paths shown would require the largest work to be do,tg nms)k9)tz ne on the hydrogen nucleus?

  Two charges, separated by a large distance, are shown be sx6ps(y1 vkuu-nuq67m+ w- qllow, along with the electric field lines around each chargeqwn-7 s6syk(6uup-u+l x1 qvm .

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 magnitl w9hg* 3 y3e,gpqf g(zjsbs,(ude are located on the same horizontal g ggwz,bsj3h q9 el 3(p,yf*(sline.

What is the direction of the net electric field at the point marked X, equidistant from the two charges?

  A plastic rod carrying a uniform -w15tqpj lo:4nx s*h 75kf9sktb2plbly distributed positive charge is bent into a quarter-ci-b5sh1okn x *fpst7lkqtp95w b4lj :2rcle. What is the direction of the electric field at point P?

  A non-conducting sphere with radius R carries a uniformly dzib8m 7irzaa0+ qh -(gistributed positive charge 0ih+iqgb 8(r7aa zz-mwith 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 thevh;0syg q q:j) equipotential lines in a field due to A and B. What may be representedg)q;jyvq0: hs 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 th ul:hgg uy*t54e equipotential lines shown by the lines in the diagram. The electron’s path is shown by the dottedg*yh: 4ugtu5l 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 assumedb+ 6c w j/+p1igjpzy83sel7rr to be orbiting the nucleus in the first energy level with a spe/6zc7jws pjil++1 g 8bpr3re yed 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 1 ewx vui8*f(s;9y tbd .(ascdthe diagram. Some of the electric field lines due to the charges are shown on the diagram. Points P and S are two poi v8ea9(b 1xcddsu (ft sy*.w;ints 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 represents how the electric fies,ua m/igfg xrlc;7n -6qx9 b-ld and the electric potential due to a h6a,fc mgb xunl /s-9gxrq;-7iollow conducting sphere vary with distance from the center? The origin of the graph represents the center of the sphere.

  Which of the following is eprw5njye/rvl :v f) 1ok*lky.9ru21 u quivalent to the unit of electric potential differenc1j rrke u*:2y)yvn9 l5okprvlf./ 1uwe?

  Two point charges of −4.0μC and 88.0μC are separateb6yf4l6z* e ,pns4wkp d by a distance r=2.0cm as shown inp*fen ,4p y4zl6wk bs6 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 .p7*rud4y)e9m0rba iyramhl :zct 0. 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 equipotential lines are represented in t smqxlx3:kx ;7*q ooziuj-g( :he diagram sh(-z* qgj3o7mxlk xsxuio ;:q:own.
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 surfacey9.(zp7mdsx 3z bz0xes 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 .8 jyi2(egm wdq1q h2lof 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 me )kv rkg))vxly7sr /-edium with permittivity ϵ. The charges are then moved to air so that they have the same force between them as that in te)) -s7k/ vygxv)k rlrhe medium.
What is the distance between the charges in air, knowing that $ϵ$=$ϵ_r$​$ϵ_0$​?

  An electron is released from thpv1s a;)dx)6tukp(l+ lhfy7 j e negative plate of two oppositely charged parallel plates pla)l aupvxh6ftpkyl( ;j)s 7+1dced 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 object with charge +e exert elecd wlu9ka4 nvqb2.n 48l:6opfztrical and gravitational forces on one another.za9v42 p:d bu8l6 wqk4nfno .l 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 cjvkom,(si j80cea;85v a+qxn+ u lf7pjv;c2 horresponding potentials are shown in the diagram, in an electric field. iso;,mjv je7+q2jl+ auv k fx5 h( ncva80;8cp
Which of the following is a correct statement regarding this electric field?

  Two positive charges ,6saw7;wwd vm $q_1$​ 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 rectandx26il3o*u k :8vx lgfgle. Which arrow represents the net electric field at the center of the re fvllg xi23x:8 *du6okctangle?

  Four identical negatively charged objects move in an electric field along x-ojj +bjme0k 4j 9cm6paths shown as arrows below. Equipotential lines for the f j9m6j x-j4 0oebjkc+mield are shown. Initially, 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 *gq2/ref;+u bto5gbr battery of potential difference V as shown in the diagram. A proton released from the positive plate gains a spee *gtfeb;gbour q2/+r5d 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 mag:*ho hisqo,o: nitude 2C and 8C respectively are placed 9cm apart. A third charge is introduced between thes : ooh*hoq,:i 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 lines due tg80(rx 8mloq2f3 i*appcm(f eo 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 lith8dqbep4gj19wt3 j3( d1 in r0 re7of the charges is small compared to the distan0 1ni 4gdbwtj(h i7edrjp1tr33 l9 8qece R.



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

  Estimate the speed of an alpha particle that has acceleh3 fz9g05ffjg zi3nf4 j gm6b7rated from rest in a uniform electric field E=50gmf3 f z0j3i 5b97n4 ghj6gfzf $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric pote mo:y(-zuhast-t7* (ub a si1vntial due to two point elezs:m- aht u-uybvoi17*s(ta(ctric 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 1; ne qfa/*ydq9hin/kvariation of the electric potential due to a point charge as a function the distance r from i9na1qiy/ q;/f en*dkhts 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. kkc0awoi1 ./d:s (mkb;(vln( lymunt9d *h-tPoint A is used to describe a location 20cm from the surface ofh vu;t :/(kid*( mtlo k1kal0(nm-nw sdyc.9b 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 ar) cu8;7ryo0u x;rfag,iuwpk- e separated by 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. C:n-u;ufjfmr 6fyi85 -.sx0it mdlb,z harges of +2Q and −Q, and unkno:m nt;xru.0sj l6zm85i biff-f ,ud-y wn 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?