The work done on a beta-minuuz ,x.;hnqpeu7h 5o 684lruc8mfma j3s particle when moving it from Y to X is found to be −10eV. Equipotential lines are represented by the dasjh 468 l7o f;.x e8zpm3n5auq,uumrhched 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 j hm hz07in(vc p f2v+5jk,ax7dn-mt,parallel plates separated by a distance of 5cm. The potential difference between (vxmz5inmk,anhtj72 c7jhf v0d , -+pthe points is 50V.
What is the average electric field E?

  Which of the followi2rs0av3* hex1se fl- a9t7hwjng correctly lists the fundamental forces in decreasing order of stve 0whlt1jfs* xae327 srh- a9rength?

  A beam of electrons enters a uniform electric field, as shof0 y zfl1m-q .ybx/p;t) m ir.5viae,bwn.



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

  A hydrogen nucleus is held stationary in a unifow( wq(k17-hmi- mfop arm vertical electric field, represented by the arrows. Which of the paths shown would require the largest work to be done on the (7 mh-qfwo ai m1(k-wphydrogen nucleus?

  Two charges, separated by a large distanccnl3 rhi 9qbj4 )0dn/y8nykrb ok1 (.jgs8zv(e, are shown below, along with the electric field lines around each b 8dbn )rr q o4(z1nn80.lj (g/yks9hijvyc3kcharge.

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 negatiq /e 2)dy.firvve charge of equal magnitude are located on the same horiz2v)ri f q.dye/ontal line.

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

  A plastic rod carryin dwqdewu/s gz253 /s8yg a uniformly distributed positive charge is bent into a quarter-circle. What is the w5uge/s/23 qw 8ydzd sdirection of the electric field at point P?

  A non-conducting sphere wjhc (-qb.kfogj-odbe er5bl 8xa+0zp 6yv52/ ith radius R carries a uniformly distributed positive charge with charge per unit volume ρ.Pointbd f5oa 5q/ -ock bj eb-z8g.vr 0l(6ejphx+y2 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 and B. What may b11c* ldy0io7tqzbz.uygs 9w ) e repre.dou ybz 07g1tlq1)zis9w * cysented 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 eqlx g;a(g8*q wbuipotential lines shown by the lines in the diagram. The electron’s path is shown by the dotted* l( ;8qwabxgg 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 orbiting the nuc:8ewjbkn mz, qwr)m;5 leus in the first energy; n e8zmj kqm:wb),5wr 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 diagram. Some of thedw g5u4i4p2oz electric field lines due to the charges are shown on the diagram. Points P and S are two poind424 iou p5gwzts 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 lq *mg /fotqu,1*owb10dcb5 epairs of graphs represents how the electric field and the electric potential due to a hollow conducting spher*ufce qodo t,/ wg0m51b1*q lbe vary with distance from the center? The origin of the graph represents the center of the sphere.

  Which of the following is equivalent to themrjl b8r .ww +1xym7*ra z-erscrl 4 9sa;9q8o unit of electric potential differencwys *1 amoq8jra7ml;s9c .4rzwlr 9re8+-br x e?

  Two point charges of −4.0μC and 88.0μC are separatedh9cttwmg mb p6o.a0h,8cv3nms*; p ;q by a distance r=2.0cm as shown in thp68p*vc mb;hhcntoq .3agm0 9 sm;w t,e 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 energy 9ed:a(p7jmm1 wkv )5amjd/h lwkh-g -.
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 i(f3mor zo)j /vlnsp, r9k4 qdk0+v7qdn the diagram shrvjzdo q3om+(v)d4,n0rp 9s kl /7 qfkown.
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 surfacp:glo : t+cyykhk . e3csg((8fes 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 e,sdmt:t4ij/e:mk i * 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 separate0x yud *:yvom7d by a distance r are placed in a medium with permittivity ϵ. The charges are then moved to air so t 0ou:vy7x*ymdhat 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 oj)qn-ljr54ytri6 kv8(nj 4o of two oppositely charged parallel plates placed a fixed distance y)ro54 j(6nq8 ktrlonj- jiv4apart. 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 electrical and gravtkk 83q epr+b7itational forces on one another. To the nearest order of magnitude, what mass must the object have to be so th +qbp3ek8k rt7at the net force acting on it is zero?

  Equipotential lines refw7 pd dk3il8+tzj6j 5presenting the corresponding potentials are shown in the diagram, in an electrddk8 6ipz7t+53f jljwic field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges 2l00zt lz7i, m ;fgveq$q_1$​ 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,i.gm4 5t c 9xr-ewmpl. Which arrow represents tht xl e,m54p.9cgiwmr -e net electric field at the center of the rectangle?

  Four identical negatively charged objects move in an electrix:rpj*i3 i6wipbq n+ao.bj) 5c field along paths shown as arrows below. Equipotential lines for the field are shown. Initially, all four objects have the same kin3bx iiq po)nrw:ja*+i 6bpj5.etic 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 coj1 msd4ea,:ur nnected to a battery of potential difference V as shown in the diagra:,4suej1 darmm. 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 5ga: dpu gq-e4respectively are placed 9cm apart. A third charge is introduced b- :gedpg4uaq5etween 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 due to a -.r:2 bvpnh vftatjd0e9q3we y/6o1 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 compared to t; bpd22)i,2e udf xuoarp2ct3he dista2aidt2eu;3upcop2 fd2) b, xrnce 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 aw(b bc2acu3s g9p0k7m unifo9(c2wb7 gu03sbm pc akrm electric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the to(p4 nx3zvhb ;uoz6.a c;i l8rwtal electric potential due to two point electric 6; 3;zc.hvbix 4(o8n zrpaulwcharges $q_1$​ 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:)kbmr /tt, fqzoxq:8 of the electric potential due to a point charge as a function the distance r from its center. 8qfto)bqzt,:r : mxk/

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. Pxftp-o-+ r..d+dr75n uwqgkh ulc 2f )oint A is used to describe ao f kc5hrd7xp+n2 lquu +- -r.gdw)f.t 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 d31h r n15bhzq0qk br+uistance 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 showo8 / -kn) e ncntdkc(iysem7;+n on the corners of a square. Charges of +2Q and −Q, and unknown charges A and B are located as shown /cot7(ckne+nn kd 8;m isey- )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?