The work done on a beta-minus particle when moving it from yn0lkt .o84 6raw:q9.sv pehk Y to X is found to be −10eV. Equipotential lp . 4hnrv9qk0l6 k 8eoytsw:a.ines 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 ;;p7oeaua4tp two parallel plates separated by a distance of 5cm. The potential difference between theaaoppu4t; e7 ; points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundameh,zai2,(oh 3fg -le whntal forces in decreasing order of strengtheo-3g2a zfh ,i h(lh,w?

  A beam of electrons enters a uniform electric field,o(1yn riv1:+oecp el 1 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 7y ctj*8a9wnlt 1pbb4n uxqh,1c07imelectric field, represented by the arrows. Which of the paths shown would rj 0*y9l1q87tx u4,w cnb1ctpai7mbhn equire the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distance, are shown below, along with t2;hx 2eojh htghv4 r3q3(w:*vh- jqtnhe electric field lines avqx4v2hh2tr*n hjo ;e-tjqh3(w:3h ground 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 equal3m 7odb.f c8b b52c:d9t bsnax6q+tzp magnitude are located on the same horizonta bapbtz ocb6fb:d23x+tmq7cds .n 89 5l 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 char 20pq+j(w si zmim+ir4ge is bent into a quarter-circl wj4iq0 pi2mm+irs(+ ze. What is the direction of the electric field at point P?

  A non-conducting sphere with radius 7 -v, obmwpt.yR carries a uniformly distributed positive charge with charge per unit volume ρ.Point P is ap7tb- ovw.my ,t 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 and B. What may bv9mbf 6oc,5)gv +jvml e represented by ljf , +6mgov v9bv5)mcA 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 repre6xqo+l*g c x-.y.l8,zpzn lzk sented by the equipotential lines shown by the lines in th- pzxz+qk6x y,l.z* 8nclg lo.e 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 assumed8.q73z, n)adfkl4 7rffthi hx to be orbiting the nucleus in the first energy level with a speed of47fz. q87kl)h3,adxitrnf hf  $2.18\times10^6ms^{-1}$
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 2y fq wf 9dsjk(+:5ulp6Q and Q are located as shown in the diagram. Some of the electric field lines due to the charges are shown on ty5dfq 9 (slj:6+kupfwhe 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 i mut)+w -z25mf v-cde5hq/xqgraphs represents 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 represen h/ ue2dq--z 5qmim)v+tfw5x cts the center of the sphere.

  Which of the following is enzad7 +8jg3ajc 2(fl,zxe*ffh ;lf -equivalent to the unit of electric potential difference8f zg dae n*af(-cl,7e hzj+f; xl23fj?

  Two point charges of −4.0μC and 88.0μC are separated by a distance r=a4ljvi mrszn sfyw42 .u994.m2.0cm as shown in ths9fr44l 2n4j umvwai.y sm 9z.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 en8 -0aqxx,rdk5t/7xsp dcd m9ryp r3v-ergy.
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 equipo39pax a/qc5n1s2+l8rrct .x)dqkvwu tential lines are represented in the diagram sh3n)/pr 9r1l5k ds.t8vc+acu qqxa w2x own.
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 th.h;kqc4 jf0d z80bi:d8dt0fp 2wakty e equipotential 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 charge7qpbd- z rfj/1 of 20nC are 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 dis2h(;- cy: wj x,,a8cyjf kg7 mtket9dztance r are placed in a medium with permittivity ϵ az8jxf7 mkcyce: wj;h2g 9yk-t,( dt,. The charges are 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 from the negative plate 0+kr/:emz i ;p::q b puda*,x vrdn+imof two oppositely charged parallel plates placed a fixed distance apart. The potential difference between the two plates is V, and the electron reaches ez++,*m :pdmdx0 ib /:urqp:ai;rnvkthe 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 k3ej*)ap :68ynkz jvt exert electrical and gravitational forces on one another. To the nearest order of magnitude, what mass must the object havee3*n ak jjtpz:v68)y k to be so that the net force acting on it is zero?

  Equipotential lines representsyi+i f 6ib3hvxs 5:8ving the corresponding potentials are shown in the dia6i 5 h8vfiyvs+b3 is:xgram, in an electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive chargestpje7;5:x 4bv vpv t-y $q_1$​ 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 vertiwdu z1t6f,v xo:vz( 5aces of a rectangle. Which arrow represents the net electric field ,fwu5v1: z(zax t 6vdoat the center of the rectangle?

  Four identical negativelzh3;wu lva 4z6y charged objects move in an electric field along paths shown as arrows below. Equipotential lines for the field are shown. Inilz3zhv a6 ;4wutially, 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 distance d and connected to a battern6cb49be hex*y of potential difference V a6enb4 x e9b*chs shown 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 respectivelzc 4byz)0ki6kz3mjsg /.;,iirb (d8hvg ( uzqy are placed 9cm apart. A third charge is introduced betv 8ub(.mzq6 iszicgz z3 i4;bk/( h,gkyj0)rdween 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 equc5q, l* rke -qnnff1s,zl/+ngipotential 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 the charges is smal/s t6 1(rrxi awsv3-,bnd:rdml compared to the distance R. vr(xdtra1,wmb d: s sn6/3r-i



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

  Estimate the speed of an al fd -v2/vvti(b:7p mdgpha particle that has accelerated from rest in a uniform el dvv:-gm7/2t( fp vbidectric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the var8 pzpd1pqr 6s8s1lwj8iation of the total electric potential due to two point electric chs8168 z8pp1jldqprs warges $q_1$​ 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 va1shs q qs96i)priation of the electric potential due to a point charge as a function qss 6ph1iq 9s)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.g bn3u+)xylmv c8ze6 of 20cm and a charge of +3.2μC. Point A is used to describe a location 20cm from the suzn )b68u.yvmc x e+3lgrface 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 4 zjouyj37rqo 10 a3q8kz of*a,ng /wjby 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 okogsi m+6q1e4 u:6frkf a square. Charges of +2Q and −Q, a6qkf416iuk: me o rg+snd unknown 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?