The work done on a betajhagyyx*(-l5a x vb 0*-minus particle when moving it from Y to X is found to be −10eV. Equipotential lines are x*g-xa v*y0a by(jl5 hrepresented 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 mozd k9 gj4y.(bnved between two parallel plates separated by a distance of 5cm. The potential difference between the points is 50V. bg4(dz .n9kjy
What is the average electric field E?

  Which of the following correctly lists26uz* s9fika w the fundamental forces in decreasing order ou 26w*fk 9izasf strength?

  A beam of electrons e56 kdoje8+ng4u7 1qy;vtlxf:a m y/avnters 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 field, rl887t u:b d zidqfa:f 94wny/fepresented by the arrows. Which of the paths shown wi8z 8ud/ffql w :y4atd bn7f:9ould require the largest work to be done on the hydrogen nucleus?

  Two charges, separate++(spul, 6ckj7 ;rheobcp 1rv d by a large distance, are shown below, along with the electric field lines around ealp,u(7rkc+er ph;jc 1s6+ o vbch 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 lz*rbrh+q/iy b:: z,m on the same horizontal lin rzzm i: +r/ql*by:h,be.

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 chvs :teg mls74o * aa5g-liot52arge is bent into a quarter-circle. What is the direction of the electric field at point 5t 2mi -a4*lo7to5ssg evlg:aP?

  A non-conducting sphere with radius R carries a uniformly distsg/3+ .+o8dslclkx prt15 4 j5cpa tlgributed positive charge with charge per unit volume ρ.Point P is at a distance r from the ce j5p3sc + l+odprc4st kx.8glal5g1/tnter 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 bn hnlcxh59gcc)l7, ) in a field due to A and B. What may be represent xn57b ,h 9)ccln)lghced 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 ey1bm v ,y6.eosuo )rg0m)rhn;quipotential lines shown by the lines in the diagram. The electron’s path is s;v.)r1g n,syho6ryou)mm 0e b hown 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 witmfxr 2jj:voh 7.24l ln ch-(b9rd;ump h an electron assumed to be orbiting the nucleus in themc(pd jlr:xm-2h j7rf49hu 2v n;obl. 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 located as shown in t;oeln ptn8m*g.iyu58 v2ox6we.j /ny he diagram. Some of the electric field lines due to the charges are shown on t*mg2n8ytv e pj;8. xue yowlnn6/i5 o.he 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 r 9 ,gn-fd pmjwa i8k/rb82+b9c1daevmepresents how the electric field and the elect+ridjw82vgkan bcfmd 9 m-,/8p91a e bric 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 th2 era70ipwrcpv;ie;fu*0 b*q e unit of electric potential differencecr wq;u7pep*ifibe;0av0*r 2 ?

  Two point charges of −4.0μC and 88.0μC are separate cav/elie ;8n+d by a distance r=2.0cm as shown in the diagra/celea;v n8+im

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 ju r;oov.sl/h/ .b5pp 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 represented8-2fudo q+,xqzy +w a,;njdidld.vx9f n+ +uz in the diagram shown.+xva;nwq 2x jld9ydd -i.z+,u8fund z++foq ,
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 surfaceq;o2u:f2 :oqgz z o9wls 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 +nwihw;f7z nbb9y 92mof 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 medium with permittivity *g4 6hp i)rvqsd(sq6a ϵ. The charges are then movedqr (*ah)gq46ps6is dv 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 paral.x( 0+j 8c/sd9dnkebh ,vh phhlel plates placed a fixed distance apart. The potential difference between the two plates is V, and the 9ks,v ddh ejph0c.+b8hx n( h/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 a:he7*i 7ryz9 mhgzj;+ul 1zqpnd gravitational forces on one another. To the nearest order of magnitude, what mass must the object g19q;eur i7 jhz+l7 h*p:zyzmhave to be so that the net force acting on it is zero?

  Equipotential lines representinn83u g1 xnu1oy70ru0 cvngv0 lqd2:rog the corresponding potentials are shown in the diagram, in an electric 1g0u :qnl01 vu82ry rod0 ovug n37cxnfield.
Which of the following is a correct statement regarding this electric field?

  Two positive charges ee lyha1+1x )x$q_1$​ 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 auw1o-g9/c)gmubm u1rectangle. Which arrow represents the net electric field at the cea )1wgc/bugumo9m 1-unter of the rectangle?

  Four identical negatively charged objxaltn o8kb s xw656q,n n;xa92ects move in an electric field along paths shown as2xn xos66 5 lb,;atna8 qwnxk9 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 connected to a batteri q. 5q5p/axtsy of potential difference V as shown in the diagram. A proton released from the positive plate gains a speed v when it reaches the opposi aqq55pi./t xste 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 a hl,,+ih +qdg kpu9vc7h. 5qdtpart. A third char id 5.hkhlp9,tqv u+ dcg,qh7+ge 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 due to a p 0abm:fxrk,s k12 sakk)vm-/roint 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 cha; i0igl;vvo-wrges is small compared to the distance viog0; l-w;viR.



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

  Estimate the speed of an alpha particle that has accel6 q9 8txo)c9evucsji3.edp9 c erated from rest in a uniform e8e9vtqp cj9 icd.u936 co)x selectric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potential due to two poie/j)8t0/hpkh bqcz h 8o +dmry5u/cb5nt electdk/t8qc) h/b mo uhrcjbe05 yzh/ p+58ric 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 , ef2i1zr-l8ug0 -g dp qbh(bfof the electric potential due to a point charge as a function the distance r from its center. 2prui (,z- g bfe08d-g flhqb1

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 appxg:si- /2/o.gawa a charge of +3.2μC. Point A is used to describe a locatio .2pwaxopg:-ig/a as /n 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 distance r 91upp4m/ ws-v* pmufaas 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 onzt(ue s.a v6m* the corners of a square. Charges of +2Q and −Q, and unknown charges A and B are located asz .a*tuv (e6ms 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?