The work done on a betb0olndz-q b2d3 tt/1n a-minus particle when moving it from Y to X is found to be −10eV. Eqb nozt 2ndt db-03/1lquipotential 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 separated by knv ndzyj(7 tj755fql;thx +2m/ rb1pa distance of 5cm. The potential difference between the poij ;72nyvqjh 5r zmt/d1bk+p7n( xtl5fnts is 50V.
What is the average electric field E?

  Which of the following correctly lists th*4axajl-kkq6 c- v9 :gfa5qpjg-zos 1e fundamental forces in decreasing ordez*1pgj- f5gcqkas49-j x a- 6qaklov:r of strength?

  A beam of electrons enters a uniform electric fie i6o pl*0. /zsz8ef2.ziocbfh ld, 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 el/ 7iq-+sh/ptz dimt p(t -u-iiz8t ,siectric field, represented by the arrows. Which of the paths shown would require the largest work to be done on the hydrogen nucleus? dp / su+i-th-t8t7ismz q( - it,ipz/i

  Two charges, separated by a large distance, are shosqz4g )h8l2z own below, along with the electric field linezq)ol8zs 2g 4hs 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 tk /opb 60.9bkobg.n +0kvxlhrhe same horizontak kkbh0v 0/+lbpnoxr..o9g b6 l 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 is bent into a 8 va 6h:q la:ej4sc1ixwb/ e3fquarter-circle. What is the direction of the electric field al 3ahebi ::c8jsxq6aw/vf 4e1t point P?

  A non-conducting spher+8ohj 4om gepu/- 7gtde with radius R carries a uniformly distributed positive charge with charge per unit volume ρ.Point P is-4/ho+tmo 7jd8gue pg 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 equipotent unugv*xw(7 5kgtpi:9ial lines in a field due to A and B. What may be represented by A and tuv:w 59*giup k7(xng 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 represec b,p5/ilh xb,nted by the equipotential lines shown by the lines in the diagram. The electron’s pathi bplxb5/h ,,c 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 el ljbfd*txn-f+f1 0, eyectron assumed to be orbiting the nucleus in thj+*nfxf yt d-0el,b f1e 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 and Q are s iqi2um 4b(/ulocated as shown in the diagram. Some of the electric field lines du42i/(qb simu ue 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 of graphs represents4xu5n4hlp n1v how the electric field and the electric potential due to a hollow conducting sphere vary with distance from the center? The orig hnuxpv1 45l4nin of the graph represents the center of the sphere.

  Which of the following isex-:c*owo1 unrn/yw. equivalent to the unit of electric potential differencenr o*couen-:wy/x1 .w?

  Two point charges of −4.0μC and 88.0μC are sep7;6jag,-di- px0ogj kaf+ynyn;k t) marated by a distance r=2.0cm as shown in the diagram ;k xg y+,n)ytfjo a7kig-dj0- 6pan m;

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 ene9mzbr o.4:ogs rgy.
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 t7rdlow9d2c.9.ms-yb 4: sn+h d xkhjfour points on equipotential lines are represented in the diagram shown. :h2jrwykd+. xs9n-h 4ot7dcm9bs.dl
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 surfa.m 74xcc *w lg/im(anpces 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 p,a;ul oz 4)keare 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 witoj bv9hgj7j70 h permittivity ϵ. The charges are then moved to air so that they have the same force between thegovj bj79 hj07m 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 qcge 20lr.aft8;r0d q+4u 2 pm)fomil from the negative plate of two oppositely charged parallel plates placed a fixed distance apart. The potent+; rgie8 a qmfq0r) tlcdo224m up0.lfial 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 electrical and gravitational, w.ud*xxbzd+ forces on one another. To thw.,z ddxb*+ xue 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 corresponding potentialc 76rsm:v (9u8dyz sijs are shown in the diagram, in amu9j86 syc7dsr:(i vz n electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges ce r,i95 dd 7oer)gs6; yl1xbs$q_1$​ 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, x.btjovc g,a:hf xwv0. :dxk;+ywy) rectangle. Which arrow represents the net electrcyo,yfjb w )k.x;w:, x h :a+v0dxgv.tic field at the center of the rectangle?

  Four identical negatively charged objects move in an electric field amt ,9 49 ow am*3)g:ewadmhtyvlong paths show*3e:)tmd99a gao vwty ,4mmh wn as arrows below. Equipotential lines for the field 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 conne v*-z3d5mhiu vg/ yss7cted to a battery of potezsyd *sv73i m-5uv g/hntial difference 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 charges of magnitude 2C and 8C respectively are placed 9cm apart. z g;dyo n:o) 8uh;kux0i/ g;sn1ghbp.A third gnzp);ub0y; ihsdu /.xn 1;og: ohg8k charge 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 lines duoiec so :l cc8;lm6;5ne 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, the size of the charges is small coqf h)ljvp9q yvlxkmw(+tf 945k o89u9mpared to the distance R.j (kmvt9k9yq f+5fqupl h l9w)4o8xv9



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

  Estimate the speed of an alpha partic3p2j4wjbe+,lp rs pk;le that has accelerated from rest in a uniform electric fiel+3k;pp2 wsbrpelj,4 j d E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potentife-0ux kt*ga0 o)hgj+al due to two point elf-0egto ) jhka0*x+g uectric 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 -k,brrxwen yl) vx;3) electric potential due to a point charge as a function the distance r f,reyvnw3-) lx; rk b)xrom 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 r sje;se5mlt 7/adius of 20cm and a charge of +3.2μC. Point A is used tl/ 5ms;j e7steo 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 seps ir8vuvvux0im1l* 5 8arated 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 t4t5g9jfpvy 9 lhe corners of a square. Charges of +2Q and −Q, and unknown charges A and B are located9ptgvf4 l5j y9 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?