The work done on a beta-minus particle when moving it from Y to X is found to u6g:5 d0n:7bhfmpj nobe −10eV. Equipotential lines are represented by the dashed lines in the diag:djnhp:0un75m6 f og bram.
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 betweenhr/ tdf+: * lgops68ha two parallel plates separated by a distance of 5cm. The pote*+hdp6 lho:gsa/f8rt ntial difference between the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundame fi2z h;p4q+zfntal forces in decreasing ordeqpzff+izh ;42 r of strength?

  A beam of electrons enters a unifh d/3 vc:pm;omeojpd9 i *k)29ur b;ceorm 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 e4.vuw3 s,bld field, represented by the arrows. Which of the paths shown would4wb.vuld, se3 require the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distance, are shown b)+o/9ozc wf oj5tttqv+x . wp,elow, along with the electric field lines aroundfow qt/+) wt+p zc9oo tj,v.5x 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 negativd+y(*ivh; -qr(me r1a0sch.sux4 swve charge of equal magnitude are located on the same horizomc4(. srh*1s y vxus +0wqdvr(e-;haintal line.

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

  A plastic rod carryi))0zdobrbo0 f b:h s0s+t.klcng a uniformly distributed positive charge is bent into a quart0z s.fb0 0rk lb) :)tdhsbcoo+er-circle. What is the direction of the electric field at point P?

  A non-conducting sphere with radius R carrib o 8pz9-dy,o1ude*fq es a uniformly distributed positive charge with charge per unit volume ρ.Point Ppd9uod -z1o yfq8be*, 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 lm undc;f lh)18ines in a field due to A and B. What may be represch;d1ml)u 8nf ented 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 equipotential lines sho7 3 aopcwj t0v/pom)0own by the lines in the diagram. The electron’s path o)c 0mo7pp3 t/0avj owis 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 assumed to be orbiting th;q;hvpppxlp +l( );gf e nucleus in the first ener;(lhg;pp;f+lpx p)q v 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 the ul;x / .u+udfmdiagram. Some of the el.;xdumu+ /uf lectric 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 represents ho3 ,sb6+::wsfict tmtu w the electric field and the electric potential bs:u6 3,mttiw ft cs:+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 *cm+,z v 8)riuozjm.iyncx ) 9+zhv6telectric potential difference.z vn)xy*o+8 tm9c hiz,)zumj6+i c rv?

  Two point charges of −4.0μC and 88.0μC are separated by a d1h-wfsb 3 4u:jc;rga cistance r=2.0cm as shown in thwaju3fbs-hr 4;c g:1c e 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 energy..5h4aas f+*( byqsva:hpdym,
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 r i5/hly) 5 otqgp:gu/fepresented in the diagr p:f5yghgt/5qil )/u oam 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 eqie;gk;lrhy4+2uo l.6, o tc*fw ck o1ouipotential 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 f9.4jgqhot kbilm35 ;zixed 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 medium2ytclx;el1rw e*xe q3;s o88q 2puhh5 with permittivity ϵ. The charges are then moved to air so that they have the same force betwwprql2 l*u3; h8yxqe;oeest 85cx 1h2 een 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 plac d6anz (ps i.k t8njvy/8x/9ate of two oppositely charged parallel plates placed a fixed distance apart. The poted8/snnaj vckyi /8.p(at z96x ntial 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 gravitatu c emq5pn-- z7fs9hz8ional forces on one anothehs-8pn cm-q fe5 z97uzr. To the nearest order of magnitude, what mass must the object have to be so that the net force acting on it is zero?

  Equipotential lines represetyh r-( )snl*nnting the corresponding potentials are shown in the diagram, in an electric field.ths r(*nnl -y)
Which of the following is a correct statement regarding this electric field?

  Two positive charges ,m 7yn4yjs7nwsc(l 7i $q_1$​ 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 particlp- soy9:,zt gv8,yxy7 kdh/ jzes are at the vertices of a rectangle. Which arrow represents the net electric field at the center of the rectangle? d8j/zk -yvo: 79ghy zts,yp,x

  Four identical negatively charged objects move in an elen7yhuxox q3j4,+c* vowv f8xs lc :f))ctric field along paths y8 wcx ,ou74 *3nq)x)oxf+l jfchs:vvshown 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 ai:b7wtpg)tpm: e( 7v1 e7aosa distance d and connected to a battery of potential difference V as shown in the diagram. A proton released from the a 1 pwbsea):tgvopm77: 7ie(tpositive 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 respectively are placed 9+b k fc1ibgg3* yq( r6dclf+67de8v dg(v/oktcm apart. A third charge is introduced be6(qk k+bvb31ri6(/d8f c +dtdelg o y *cfvgg7tween 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 u2b/p0bbls2)jy-;r2r s w n;xekl3 trpoint 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 the charges xdsjm1* j.- x 8wamnk8wdo3*kis small compared to the distanc-m wmwxxko**d.sj 3k j8a18d ne R.



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

  Estimate the speed of an alpheq6tbnzq46ud 6o -ds6 a particle that has accelerated from rest in a unifunq- 6dzdotbe 6s 46q6orm electric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potential due to tw+5tqa umnhi,ou6j4 o1 o point electric charges hj6 q+5im,nt1o a4ouu$q_1$​ 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 potentia*b 1;uce-+agjx7 sodo ;d:0rmb fg 4inl due to a point charge as a functi-ng fs* di+c14mo:0eaob7j bx dug;;ron 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 cs2/ 8.1e,6 kefz2n emdbe cqqmharge of +3.2μC. Point A is used to describe a location 20cm from the suke zdmf2,s1/qq8nbcee 6e2.m 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 swoz44ej:b 9 rnsh+7h nm z7ai/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 placdlgbjny4ys8q2j iso11 pt1kn o ;r:-3ed as shown on the corners of a square. Charges of +2Q and −Q, and unknown charges A and B are12dop-s 3sny r bykotl;j 1jg1 ni48q: 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?