The work done on a beta-minus particle when mov( d2;yuuo 7 ;)axczcon0ap *r(n-rtfking it from Y to X is found to be −10eV.uo2a)nc(;zkpd*y; 0ur7n- ar c (tfx o 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 betd/o gjim 7fz-i:l;ly4 ween two parallel plates separated by a distance of 5cm. The potential difference between the pg7-z mil : 4oyildj/;foints is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamedfx 5/t6 dntn3ntal forces in decreasing order o 5ddt 3ntnfx/6f strength?

  A beam of electrons ix np 3o2aiyg5qlk(; :enters 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, qv )aq0usbnsitu0 63kqz7,x nh/9:luh hu5 a9represented by the aq 3 zu6 xnluu075qh,h9ia/vkq s: n9utsh 0a)brrows. Which of the paths shown would require the largest work to be done on the hydrogen nucleus?

  Two charges, separated bnog/ g/5ls(cxy a large distance, are shown below, along with the electric field lines around each cha/ c(og lsn/x5grge.

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 mufepvw0 19r5r3q: qpnagnitude are located on the same horizontal linep1rvq3n: 509q pewrf u.

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 distributel3s-0;*ry qs4 etelfu nj 6jd0d positive charge is bent into a quarter-circle. What is the direction of the ejus rf j 3nt-q40se6; delly*0lectric field at point P?

  A non-conducting sphere with radius R carries a uniformly distribut s.r73ndbk1hs ed positive charge with charge per unit volume ρ.Point P 3s1. dsk bh7nris 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 lines in a field due to A +z jk -e8;75 vcit3ksw0hjoaband B. What may be rep7- zoswkb308kchjev ta;ij5 + resented 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 ele9wn 2o hr1fgg7v,vns .ctric field represented by the equipotential lines shown by the lines in the diagram. The electron’s path is shown bvr,nw v2ho.g79g 1s fny 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 modlmw oyxkjst fhj. 8ay/ ggl8k-i y8,+6d +v*4peled with an electron assumed to be orbiting the nucleus in the first eners6*lg+j ,8haikj 4yot/.mvpy+8d-8 kfwy glx gy 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 k(zw23d4vi hb3ogc; p )cv,sfhe diagram. Some of the electric field licv 3);fw2 d 3vi(gzc,sbkhop4 nes 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 represents how the electhhp faa ( *;glc+n-ajko)wa5 2ric field and the electric potential due to a hollow conducting sphere vary with distance from+jpk lhwh) f(5a-a c;an2g*o a the center? The origin of the graph represents the center of the sphere.

  Which of the following is equivalent to the unit of electri bn/ex j2-a d4uqze;4vc potential difference?4dnzxave -j4b /u; e2q

  Two point charges of −4.0μC and 88.0μC are separated by a distance r=2.0cm as (0mmm2ts cr1w shown in the diagram c t wm21m(sm0r

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 poten bt61 xdmfc+1 rm(hd)ptial 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 equipot 9:y6vkbtxtx(ne :gu( ential lines are represented in thexx(b(e6 ytnk 9::vg ut 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 equipotential surfaces of two6kuw* l;weyu, 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 fixed dist4xp: l).xxlf oance.

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 wc77ff b xods -c7tiq(()hteiz2u3, gm:2tx o vith permittivity ϵ. The charges are then moved to air so that they have the same force betwe: fm3g2x ihx t2,obdq-7tfs( ci7tvzco7eu () 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 negative plate of two oppositely chaib82;qs-fyfi, esd, z /x1t3zu+ c*awpfniz -rged parallel platefu,s2icybp3sx -i/qfdw 1 ne*z,z ftz8a-+i;s 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 +e52 3eyz08ohom3g nsfv exert electrical and gravitational forces on one another. To the nearest order oz 2 e8gm5 nvos3yh30off magnitude, what mass must the object have to be so that the net force acting on it is zero?

  Equipotential lines representing the correspondp9g 3,1qoyn(hq hwql+znjr r1sb h 47-ing potentials are shown in the diagram, in an electric fierg(qqhhjhs n1 q7 pn,z9y o31l4-rb+wld.
Which of the following is a correct statement regarding this electric field?

  Two positive charges am*(; qvdg t v,a2; ,+)hqhdmics;bmj$q_1$​ 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 particlatyh*bf2.9ub f pto6 p289taies are at the vertices of a rectangle. Which arrow represents the net electric ft b2p9a*at8ut obypi2f .9h6field at the center of the rectangle?

  Four identical negatively charged objects move iu(rlai :z+r9cm7kra v0zn0f 3n an electric field along paths shown as arrows below. Equipotential lines for the field are shown. Initially, all four objects 0raazr0ircm u:v3kznl 7+9 (fhave 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 distanwg0 ; j0ypiclvivn2i-5z,p d/ce d and connected to a battery of potential difference V as shown in the diagram. A proton released from the positive plate ga lpi ;yvji2npcdg0iz5-w /0v,ins 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 respectively are placed 9cmcg9m a pt+.ey) apart. A third charge is introduced between t+y9amte .)gpche 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 gc/zfv9d)y2dtlt r2,l:rs y2charge.
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 chap tby0gz9 o/y*qq x6j3 j0yt8vrges is small compared to the distance R9o jy0*6j30 gvty p/bzq8yxqt.



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 a unif +mceu//jh:v.o9,n og w lfpy:orm electric field Efo.+:vu, l:g/np w9yec/o hjm=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of t je4jq: pqkbubm(.(ky nd7bica 3y8 97he total electric potential due to two point electric chargyp.j8aqkde yci:7qbj 7b (bu9n(m4k 3 es $q_1$​ 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 variatioqaw 64d:1dqm xn of the electric potential due to a point charge as a function thx w4:qd1qa6mde 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 20cmpd ka-v:ek -j*vmw w+ 06t6lb kc1o5ps and a charge of +3.2μC. Point A is used to describe a location 20cm from the sulpsd6t1 k +m:ov-k06c5wja ewvpk*b-rface 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 sf,) 0 rcjnukw*(pi4he eparated 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 corners of a 79riydm2te4 qsquare. Charges of +2Q and −Q, and unknown charges A and B are locat74mt9yd ie2r qed 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?