The work done on a beta-minus particle when moving it from Y to X is fonop bx*l+ci b314 y9t;sl w8dgund to be −10eV. Equipotential lines are represented by the dashed lines in the diagy d;3ogtx1p lcw9 b*+nibl4s8ram.
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 of m43-uqdefume(.z s g/ 5cm. The potentialz (su4emgeq m/3d.u-f difference between the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the tyxq3 o6:f 4hrfundamental forces in decreasing order o:yt6h rq43f xof strength?

  A beam of electrons enters a uniform electric field, as shown. eb/22 9q nn6mi fnp3zg4;rqji



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 efzw+:3 1m au8ugf jz5field, represented by the arrows. Which of the pa1 +ue8z fwm:j3gzuf 5aths shown would require the largest work to be done on the hydrogen nucleus?

  Two charges, separat epj6:;ec r5dced by a large distance, are shown below, along with the electric field lines aro65rpd;ece jc :und 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 magnitude are located on the samum9 zp2v9) bxce horizo9uvp)bx 9zc2 mntal 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 disc9f *+suyxl4gc ;gq4ztributed positive charge is bent into a quarter-circle. What is the direction of the electric field at poinfsl; g9uqc +xg4zy c4*t P?

  A non-conducting sphere with radius s(koiy:q)*r duv:5 jt R carries a uniformly distributed positive charge with charge per unit volume ρ.Point P is at a distance r from the center of the sphejr(dtv oiyk) *u::5sq re.


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 a4og;up(qs33zh p4myy -i odqmj . 4q*B. What may be represenmh-zg 4pq44poaqo *q 3 i; y(mjy.s3udted 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 equipotenirqm w/94o+o wtial lines shown by the lines in ther9o4qww i+/om 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 model;ufvj26v g w+yed with an electron assumed to be orbiting the nucleus in the firsufjg+2v y 6vw;t 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 thj-1uddu*wzoxh o6v73e diagram. Some of the electric field lines due to the charges are shown on the diagram. Points P and S - hvjoxo z1u w3d7ud6*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 re 7.g v-wklg5maeo 7pk66q9obrpresents how the electric field and the electric potential due to a hollow conducting sphere vary with distance from the center? The origin of the graph represents the cen9gagl6qmkr o-p .7e7b6ko wv5ter of the sphere.

  Which of the following is equivalent to the unit of electricvey5-ge: iz6 zyvm; q- potential differencem y5ivqzzeyg -:-v; 6e?

  Two point charges of −4.0μC and 88.0μC are on41n mpt l55mb00a(s eq m2zoseparated by a distance r=2.0cm as shqzonm52oe b ptm150s4m( n0alown 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 potentiad fd6i5 klv;l2v7 ip 4dro(r/tl 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 represented in tx45twm p;k0/g gmef 5vjzcl1 )he dl4k1gpzc/ jtw 5egx5 mm0f)v;iagram 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 eqwzwep+k h495 ip 4te8 xh3t;yzuipotential 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 aap gci8ldi(0wx *sb+7 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 separatej eo:9awdal2 -d by a distance r are placed in a medium with permittivity ϵ. The charges are then moved to air so that they have the same force betwe9w2-le:do jaa en 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 negativxyw/xw;+2yr 1g7m b xk,tf rgul. pzf2sj9q)-e plate of two oppositely charged parallel pl7x,wyp-b1x gr2+fg9 lsm w 2kjfxu yt).;qz/rates placed a fixed distance apart. 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 g l7 eqe.2 :519baoonek vwc4ksravitational forces on one another. To the nearest order of magnitude, what me oloqb enes7k .5w1:av9k42cass must the object have to be so that the net force acting on it is zero?

  Equipotential lines representing the corresponding potentials are sho/4 01-oe7caei3 thdmhcqdj8 fwn in the d7o1 ah/-idf0qjem ct h 3d48eciagram, in an electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges wr8(*v5t )zoqhj2qe j 0yexg: $q_1$​ 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. Wh*zk4 o(u9d h9t ovpazzq j0b01ich arrow represents td9ho0k q*zj0boua1 vt 9p4(z zhe net electric field at the center of the rectangle?

  Four identical negatively charged objects move in an electric fi7u0qwp n h.yj 9zdyypv , 7ozb52s*fp.eld along paths yyyo. dq0v75 uzsj, hpfn.z 7*pbw92pshown as 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 distan6m7 sc6q mf*g ;-gebigce 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 ci;gmq6 e*- bsgf7mg 6v 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 respectively ayf8m 1(+vnxw :u(s 2v.ibwbiire placed 9cm apart. A thir 8iwb(wbv.: 1su i nyf(i+v2mxd 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 cha1pmmdd9. dx7 prge.
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,bag m/8x,lj:g0ogtj (,a2ynf the size of the charges is small compared to the distanxa/jng by(0aofgg: l,j2m8t, ce R.



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

  Estimate the speed of an alpha particle that has accely/q .8 n(d vszvcy4y-cyl;wu 0erated from rest in a uniform electric fi 0;(d/ uzv8cny wq.yyl -4yvcseld E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potential due to tnfn 60nfy qvwr), vmql10, yy1wo point electrivqwvfn6qy), lyy n010n,1 f rmc 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 dqpav+urt n/s a*r38 h8(ije(uue to a point charge as 38rn8 et( *q j+hu/ u(apasivra 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 20cm and a charge of +3.2μC. Pod;4ioe nr 8fzf1nss.1 ah-ro1int A is used to describe a location 20cm fro1s .aeno4ohi 1d8 fr n-sz1rf;m 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 sxv-hdk9h7ax e c:* 9y+nb0kf xrg) ,cyeparated 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 as shown on the corner6wpk6-eai 1:wlhuo8 z s of a square. Charges of +2Q and −Q, and unknown h li- 6zkw1 ue:p6oaw8charges 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?