The work done on a bd7hxq6j)vus*).gmqs3 8k5jqon x fseln4p ;- eta-minus particle when moving it from Y to X is found to be −10eV. Equipotential lines are qxe)qn4jx d)sf-sv q3 o6sm;5ln 8 g kp.hj7*urepresented 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 xn 0tf9 cu xjbh1c)*3vtwo parallel plates separated by a distance of 5cm. The potential difference between the points is 50Vf) 3x9cunvhj0bc x1t*.
What is the average electric field E?

  Which of the following correctly lists the fundamental3zqwc/:m twa* forces in decreasing order of strengw ca/qt:wm3z* th?

  A beam of electrons enters a un)i goz;zn( hyeer71 l9iform 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 uniforuf cs7 *tdwkq1o 3p /cpu)*e.ym vertical electric field, represented by the arrows. c f1owe/uk pyc*td 7s) u.p3*qWhich 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, alongq7x )pdhad rpcer06 ;9 with the electric field lines around each chahr7dd a);c p9e 6rxpq0rge.

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 chae 93zo5 f62 9t kweqwek3p:qddrge of equal magnitude are located on the same horizontal lk9opwd362 qe etz9f: w3e5qdkine.

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

  A plastic rod carrying a unifoz 1;2l,idcaqc. 2 l-q9mg wmlnqvw*b;rmly distributed positive charge is bent into a quarter-circle. What is the direction of the electric field at p2n;12lm lq,-l9zqwdi; *w b.aqmccv goint P?

  A non-conducting sphere with radius R carries a uniformly de u,xtnt 0u2s,istributed positive charge with charge per unit volume ρ.Point P is at a distance r from the center of the sp e ,tusxu0t2,nhere.


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 f ws6qln(c +3phmhg7;A and B. What may be represented by A a7qp 6clhgf3; mhn w+s(nd 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 represe:oih/e-nqqganfgzq6v5t/*19 u : hcizg 1 ,vjnted by the equipotential lines shown by the lines 9*g- :gq/ze6/1 vnjvu15nic fg zq:a ,iqthh oin the diagram. The electron’s path 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 electron ong oamywca4,1:hg-0 assumed to be orbiting the nucleus in the first energy lena 4-hc1go :,a0wm goyvel 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 8e3(kmgq jchd1, fov( 2Q and Q are located as shown in the diagram. Some of the ehe8k1co,j( m3g( fdv qlectric field lines due 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 rep0 tjdj6wlxxnv7 5d*9n resents how the electric field and the electric potential due to a hollow conducting sphere vary with distance from the center? The origin of the gra v6 *n7w9jxdt5ln0xdjph represents the center of the sphere.

  Which of the following is equivalent to the unit of e- a(2hd6)fbau6 bi38dxxlktmlectric potential differenc)3 b td6buamf (-x6 l8dikax2he?

  Two point charges of −4.0μC and 88.0μC are separated iux, v/p8a nd3h5ayv )by a distance r=2.0cm as showu,3 indhy) xp5vva /a8n 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-8a v wg zc:(25tyy5l kyocj*gy.
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 anhxi0( 9vdj4 bad four points on equipotential lines are represented in thahj09 4(bi dvxe diagram shown.
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 eq/ceav 2aps8eu ;// 4wn2fmpafuipotential 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 ar.wvo4q qtna 5*q9 5nake 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 wiekc m upkxopru43 -0,7th permittivity ϵ. The charges are then moved to air so that they have the same force between them as e0comrukx4upk37, p -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 q55t3 -dbmpemle+ k 5ctwo oppositely charged parallel plates placed a fixed distance apart. The potential difference between the two plates is V, and the electron re3keeq55c m5+p-bldtm aches 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 + r.shyz in+z 41zv:cy()a qo)ke exert electrical and gravitational forces on one another. To the nearest order of magnitude, what mass must the object have to bkz+)(z zs)h1y 4.ioq c:ayrn ve so that the net force acting on it is zero?

  Equipotential lines representing the corresponding potentials ar0c0k ml5rral si 8+3ne+b7tboe shown in the diagram, in an electelo0 ila 75m3kcb+80+nrsr btric field.
Which of the following is a correct statement regarding this electric field?

  Two positive chargesx,pqrj 3o1 e sut62s-zmz7p8 w $q_1$​ 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. Wuz une6 6h1bi;hich arrow represei ; hu1unbz66ents the net electric field at the center of the rectangle?

  Four identical negatively chv7x0bkof5, /j 0ol6 +up :gaarzyy m5varged objects move in an electric field along paths shown as arrows below. Equipotential lines for the field are shown. Initially, all four objects have the same5 ,6lvbamu p05of+:o/ryx0jkvg7yaz 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 battery of n(ga0/.amz3i fsm 8lp potential difference V as shown iianas mf0g3.lpz /8m (n 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 ofpb k8tg/26v9t9amd cf c)pv (i magnitude 2C and 8C respectively are placed 9cm apart. A third charge is introduced between the two charges as shobvptm(dct/)cf9kv ai2 8 g9p6 wn 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 cm+-cq0 f*r e1dr-j:s7fhpf2v el 43c lp4b ivlharge.
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 comparedbycj 47u5x41hpc(l mgd2-ly o to the distancem2jl5o1b4cp7-ldyu4hx ygc( R.



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

  Estimate the speed of an alpha particle that er0g ja /w5j:4p2orneek+6qd has accelerated from rest in a uniforme jj+6r4e: pw5ark n o0/g2deq electric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potential due to two point enu-2 gt/h+3yqhkal x/lec2+ hxh tg/n/l-ku3q aytric 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 bot 5lgm69rawr ajmoc.r can0y2 + 93+the electric potential due to a point charge aslon2g+r w3r5aom6ab a+c9tc9jr0m.y a function the distance 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 wy r s9g+k7+cwzt2 +ve20cm and a charge of +3.2μC. Point A is used to describe a location 20cm from the surface of the sphewkrz ++e 7yw2v cst9g+re.

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 sep2ef6wez4gnh9/ f 5 b+kv4 oon f/py:zqarated 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 aw3hfm-kypy ,f. 8 orm)s shown on the corners of a square. Charges of +2Q and −Q, and unknown chargeskmh3.8fp o,y)m- fwy r 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?