The work done on a b qm6o7bd 03pnaeta-minus particle when moving it from Y to X is found to be −10a0nq6bop3m7 deV. 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 separated by a distance +n8zh9*x edtvof 5cm. The potential difference ben8* d9 xzhvt+etween the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the nmj))pbp fh /*fundamental forces in decreasing order of strj mhbppn)/)f*ength?

  A beam of electrons enters a uniform electric field, fch v6ylj3y7 5as shown.



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

  A hydrogen nucleus i p gi5,2uyt ins50pd5ks held stationary in a uniform vertical electric field, represented by sk np5p52,gi 0td5iu ythe arrows. Which of the paths shown would require the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distance, are shown below, along with thxc iep.,d :)wh,ul3 whe electric field liwu3 x.,, ehhw:cp )dlines 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 magnit ww,9m )g:wzw ;9 4xjtjnb-aboude are located on the same horizo:wm 4;jwjat-b, z9 n)gbx9w wontal 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 inqjnod-y6 fs:b4.er s2to a quarter-circle. What is the2enosr:q6 s4.yfd-j b direction of the electric field at point P?

  A non-conducting sphere with radius R carries a uniforiftxh0) wz gtv.9; 0hgmly distributed positive charge with charge per unit volume ρ.Point P is at a distait.;0fgh vhxw0gtz)9 nce 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 f1vhiz7:eue8rust:/ fju8 c eai(o + z7x8q;ajield due to A and B. What may be represented vti :juhcz:8/ze 8 7oqe1exf;7u 8 jiuras+(aby 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 lihbw8 ncsmpt,ta i;v:- 0 9mxr:nes shown by the lines in the diagram. The electron’s path is shown by the dotte :r ; btwipsa0v-8ch: ,mxmn9td 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 (mba ttj+g);k the nucleus in the first energy level with a j tab(g;m+kt) 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 2 9r4.g q+ i-awxtum8vvQ and 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 and S are tta4v v qwgru xi-89m.+wo 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 represents how the electric field maf)3t8q, n7tn b*vry)pu+ cmand the electric potential due to a hollow conducting sphere vary with distance from the center? The origin of mc)7u,bt)a nt3+qrp *n 8mv fythe graph represents the center of the sphere.

  Which of the following is equiva5f9uo; j /uvdbwrnw * /qdt*,xlent to the unit of electric potential difference?nfxd *b/9v5ww /to,u*jq r;ud

  Two point charges of −4.0μC and 88.0μC are separated by a distance r=2.0cm as s tpueblfq o )3h4:pdh;nw5 .p0hown in the diaglhp do )054hneq twbu3:p.p;fram

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 potenti45qg 0xwcd9sicc;/ scc r3 *asm jq(9yal 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 poinsebm.y +x(59aef4 tao ts on equipotential lines are represented in the diagram shown.4+y 5.xo a 9tbefs(ema
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 equipac*y 7qd(kmb4/o 206i6mfzmop)sqz rotential surfaces 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 are held at a fixei/tqad.k yne1k4m - p(itz.,u d 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;by b;a e9-qye ca5l;v distance r are placed in a medium with permittivity ϵ. The charges arqeby ;-ca5;v; la b9eye then moved 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 t:9l7in*d cvuzohs 1/from the negative plate of two oppositely charged parallel plates placed a fixed distance apart. The potential difference between the two plates is V, and thu/ dhs1toznic9 7 *vl:e 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 ch(x7hw/1 q jggtt-u,csfua 0e 2arge +e exert electrical and gravitational forces on one another. To the nearest order of magnitude, what , ujq w72gt (tuxsa-h/0gef1cmass must the object have to be so that the net force acting on it is zero?

  Equipotential lines representy2v /h1ks,9 41z q4zpp2 hoeq2pfcqycing the corresponding potentials are shown in the diagram, yckzyp epz422 pc/14oqh2,f sh9vqq1 in an electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges eh32uhay06a c $q_1$​ 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 particlesv)wo b(utv 9l50vpk4q are at the vertices of a rectangle. Which arrow represents the net elec b(0ov k)qvt5 v4wl9uptric field at the center of the rectangle?

  Four identical negatively charged objects move in mpx5w3-bp:+e vk 3phcan electric field along paths shown as arrows beb:e5 xvc3kp +h-pwm3p low. 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,-iqe4m ;yn ( ay1licg separated by a distance d and connected to a battery of potential difference V as sh- cyeqai y1;,4l(n gmiown 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 refi-t d*cw1- layrk0h 7spectively are placed 9cm apart. A third charge is kfact71dw*hli 0r y--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 equipotenti4is7rfmm3 e. 1nbxv*qy- ) ax85jxtds al lines due 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 t.xopmd p,: nu0wdme4 0he charges is small compared to the distance R. 4.up m:ed0 xo ,0dpwmn



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 vghi395/vuo 6n/f dfb d(8 lrpa uniform electr d/5u h/8vi pf6rd93vnfolg(bic field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the var;,mh t; +nofupiation of the total electric potential due to two point elem;h p+fo; tu,nctric 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 electric potential due to a point charge a ki pq :f :t51l ns2p9dxn6+qvrnmdn74s a function the distance rsqn nrl7 :9dp5x1n6i+mf :4pk 2qdtn v 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 20cm and a c;f m9) ql4a ,u+kzioylharge of +3.2μC. Point A is used to describe a location 20cm from the surfaaiflq4y oum;)l,9z k +ce 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 do x54 ekeu+wgm2ikr8m590sia3 wpl qio8ge2)istance 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. Charges oeb/++0d vjq)zh3elc df +2Q and −Q, and unknow ehd j3c+zv)0b/dqel +n 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?