The work done on a beta-minus particle when moving it from Y to ehdw85i;f6uy*e)+ qw6m 1hxzk l 3mydX is found to be x* lm6muwkf8)ie+q31dy6d yhhw;5 ez −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 twrfr.g+y9+ es iqmn t.0o parallel plates separated by a distance of 5cm. The potential difference between the points is 50V. ryns0e.mif9+t . r+g q
What is the average electric field E?

  Which of the following correctly lists the fundamental forces 2n5)ppmc5, 0sv5gvyul /zfef,q 2ezain decreasing order of strag2c, v0pfef 5p/mqu2s)z5yl ze5vn,ength?

  A beam of electrons enters a ijw1whoh4j22 jt0z 3guniform 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 +: ee sbprl8 wfy4 s:s2i3jkd-stationary in a uniform vertical electric field, represented by the arrows. Which of the paths shown would require the largest work to be done on2 s 8pks4 se-+ f:3wibl:rjdey the hydrogen nucleus?

  Two charges, separated by a large z):67 bjh assucf n(,fdistance, are shown below, along with the electric field lines around each charge.jf:cb7ahs(6z )fu n s,

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 negativ mm j+,5a uqysrxe8bz-.;o/jce charge of equal magnitude are located on the same horizon5jmu+y e;sc/za ,qmoxj r.b8- tal 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 dp3 + z3*snutawy*+go charge is bent into a quarter-circle. What is the direction onzdtgsy3o u+* 3a*+wpf the electric field at point P?

  A non-conducting sphere with radius R carries a un2 *dkpe k53bosiformly distributed positive charge with charg dbk5k*s32eope 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 the equipotential lb 2.ch7v7nuvt /ny su9*w(hswines in a field due to A and B. What may be represented b .bc * w v7hv7s/2un(wtnusy9hy 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 equipotential lines sh4 txc:pvb4 ax,aa*c rem *2d/mown by the lines in the diagram. The electron’s path is shown by the dotted linx:m4b, per a 4ccava*2xtd/m*e.

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 nucleus pqk 5v lz dl qbh3m00cdp7r46+in the first05q07d k+rd6pc pvlh z4bqlm3 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 d,q g 2b..f4w7-iwc;3)tmtudo nm demand 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 toef23d4i-7ww..;dbt d cmmuqg n )m,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 followinh3ej r2rw*. osr-j(z;xb gnp :pos,/qg pairs of graphs represents how the electric field and the electric potee.sjrwx z 3/h jpqrg,b:-(nroso*2 ;pntial 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 the unit of electric potentialz tc3s/ ++ yzlxnj7/fe differencez y/jenflz+x3t+7 /sc?

  Two point charges of −4.0μC and 88.0μC are separah;/w45 nwy, z ufg3eflted by a distance r=2.0cm as shu;l3h wy5en f4 ,gf/zwown in 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 energ:.qf7cakhafi:/wo7 .s x7lfpy.
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 wq0; udjaz 6 wb:1(e0c0dpdn tare represented in the diagram shownwuwenjb:0p6z 0 0dqd; td (a1c.
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 surfaces of tw4:uc .t6lj d rkzashqs/l+j99 o 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 20y4hqb9ai2 cj 4nC 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 distance1ej uqqiv0vb+iw4mdd v6 m+.: r are placed in a medium with permittivity ϵ. The charges are then moved to air so that they have the same force beti4v:vuq w.e d+6bq 0mdim v+j1ween 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 release7jp4m8/ r hz fht7sm-bd from the negative plate of two oppositely charged parallel plates placed a fixed distance apart. The potential differehrps h-f7 8b4t7/ mzmjnce 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 w 9 w,z)8t) la)w dqwlyya3bdcj4)l0vqith charge +e exert electrical and gravitational forces on one another. To the nearest order of magnitude, what mass must the object have to be so that the adb)wd,qlzywljl)v3) )q w9 c 8ty 0a4net force acting on it is zero?

  Equipotential lines representing the corresponding potentials are s: c+ygat)t2x* c ti.9fe9ai; u)lxb eehown in the diagram, in an electric)+uge ;b9y acl9ixt)tt2:e e .*xiafc field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges)g78w vtv:8e fj(tuf z $q_1$​ 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 a7k8oom6 hd,i4wjzxu35,axz k t the vertices of a rectangle. Which arrow represents the net zm53,8wkd4xoxoza ji ,u67kh electric field at the center of the rectangle?

  Four identical negatively tb9x4*b*my/ c r47t ovgiqw 1ucharged objects move in an electric field along paths shown as arrows below. Equipotential lines for the field are shown. Initially, all fo*u7c9igt/*mo1rq4 b 4y bwvxtur 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 30 0 bqgruoz8oseparated 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 reachqz0o brou308g es 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 xti)qx 773diu ti-0scmagnitude 2C and 8C respectively are placed 9cm apart. A tiid3 i0cxst7 uqx)t -7hird 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 due to a point charge18eig.jxwaqx wg,61 s.
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 comp,qmizs x 6tq1 ;b 8:dnruev*h(m5j ln2ared to the dista,in rmzul s x qv1m52bhjq;d8t(*:ne6nce R.



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

  Estimate the speed of an alpha particle that has ezh/ .sal5qj/ 1( cmhxaccelerated from rest in a uniform eles.a/xhc m51 q /hjel(zctric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variationj g7+asy;1ouncxj0 8 d of the total electric potential due to two point electric c01gs+y7c o;n aj8u xjdharges $q_1$​ 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 variationjzn 7hr6e exuea7)wo+r8) w3f of the electric potential due to a point charge as a function the distanceo)e7x 7a8+ znrhr fjwe 6w)3ue 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 20cmktkytx / /tokk,qoy2x 0+an+7 and a charge of +3.2μC. Point A is used to describe akt+/k xtk+yq0 xo ao,n/72y tk 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 aezm):jcvvq+ +yd ( o 4q4hle8j 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 are2xd e7sv4(lq(vsu69hc(k6 m o pa9 pnu placed as shown on the corners of a square. Charges of +2Q and −Q, and unknown charges A and s2uo phxvc6 a69dv9 (leq(7unkp( sm4B 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?