The work done on a betali1mqyo7onlwe d 0 (55-minus particle when moving it from Y to X is found to be −10eV. Equipotentiyn 0o7mlwq1(io le55dal 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 between two parallel plat1rur0a fb z,a6r2fs ;5c, ic5mykej+ mes separated by a distance of 5cm. The potential difference between the poin0rm iuz5cba,j2krf6r cy+;e,sf1 m5a ts is 50V.
What is the average electric field E?

  Which of the following correctly gsl,xv d0o3-ye 2hy cz2(-omq-j7xl e lists the fundamental forces in decreasing order of strenoy c 0o-h 2,emx-27vdgqsjlz3 -el(x ygth?

  A beam of electrons enters a uv uk)pzkujua(pqsg8 4y5 g0 8:niform 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 unifor-eu (ap6c6rxw m vertical electric field, represented by the arrows. Which of the paths shown would require the laex6aw r6( -cuprgest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distance, are shhm*hdp62r slv mv0ioc 0;5 qx)own below, along with the electric field lines around each civ5sp)c6 *q mdr2xhh mo ;0vl0harge.

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 charm :aumir(g e1z6/zk:kge of equal magnitude are located on the same horizon/i u:a6(gkr zmze1k: mtal 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 uniformlj,m9o 6r /on,yfjlss62 l v96uhens 6ly distributed positive charge is bent into a quarter-circle. What is the direction of the electric fielm,ryflnl,o9j /e2jnh6669s s 6 sv ould at point P?

  A non-conducting sphere with radius R carries a uniformly disfh)y7tn,6. wn cqa1-:d m ,pc2vek ttstributed positive charvp)khy, q ccst,a7 .tf6-2t1edwn:n mge with charge per unit volume ρ.Point P 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 lines in a field due to A avy5 +fj (qrt w9yt.smy4m/u:hnd B. What may be represented by A andr.t9 yy vwh5tm jmq u4/f+s(y: 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 eqz fvvjf 51gcz8kh5x r5i7l(+g uipotential lines shown by the lines in the di (5zvg xkhr5z+gf81vi jc7 fl5agram. 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 assumed to be orbiting the nuu271w2 cqtyy hcleus in t2w1thy yu7q2 che first 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 the diagram. Some of ttxo9u .f;r bvry/km --he electric field lines due to the charges are shown on the diagra urt9myb; k-o.x/ r-fvm. 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 repup9+dps8u7 - ciqw/f(osc2 s presents 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 center os7uq -pc2d8 ip9 uws/ (s+cfpof the sphere.

  Which of the following is equivalent to the unit of elec84 n s07zbokkvtric potential difference?7 48nb0ko vzks

  Two point charges of −4.0μC and y/wrz 07dli(*vrah umh ..t3w88.0μC are separated by a distance r=2.0cm as shown in thezt/.u(*hd wl m0ihy7 3w av.rr 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 potentia fs-i-8j zook+db/xy 00l:xjh l 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 pb kpq:ubo) c2u1s-vzr 6hs9 r0oints on equipotential lines are represented in the diagram show 0v:)husbo62-1c przqku9 sbrn.
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 htinn ema+.elvwr2x7s) d9+8 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 2twm.l8 d4ko0 g0nC 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 distance r are placed in a mek u28yd6rb ya u kl8nh9cj1;7hdium with permittivity ϵ. The charges are then moved to air so that they have the same force between them as tkbhy8d njk 7a2yr968h c;1uulhat in the medium.
What is the distance between the charges in air, knowing that $ϵ$=$ϵ_r$​$ϵ_0$​?

  An electron is released 40f;pg5 gf* qwkozcw0from the negative plate of two oppositely charged parallel plates placed a fixed distance apart. The potential difference between the t 4o gwpfzcqk;0*wf50g wo 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 gravitational fo pl327dn e6j,9h4zxq fq4oyjsrces on one another. To the nearest order of magnitude, what mass must the object have to be so tosdh,9j764xn3 2q yeqplz4 jf hat the net force acting on it is zero?

  Equipotential lines representing the corresponding potemlbp 2qq (wo:n,pu des./3 fd6hh -dl4ntials are shown in the diagram, in an electriq lud3pbh( o2ddnef6 hqp.:- ,swl4/mc field.
Which of the following is a correct statement regarding this electric field?

  Two positive chargesg j9i( od :ne/f11dmff $q_1$​ 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 vevrh:r agy2x5ik wby:h.+ f:+e rtices of a rectangle. Which arrow represents the net k:2i+vrb:hh5g+aey . rfxyw :electric field at the center of the rectangle?

  Four identical negatively charged objects move i;0kqdma; b0saz;c bra)a. q2 (d xw8nvn an electric field along paths shown as arrows below. Equipotential lines for the field are shown. Initially, all four ovk0d;a;b .dcazq(0anw2 ) x b;a s8qmrbjects 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 bv,vizdghfs1d6 e)(f qxg5r 58attery of potential difference V as shown in the diagram. A proton released from the positi8)5 zdqxr5fhgdgi vfv6s,1 e(ve 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 p3/p*;ew(xw( ubqctj placed 9cm apart. A third charge is introduced be;*( (ppxbuww3t/ qcjetween 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(7bi l8:vdty f 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 tah37krp mn nlinmpr/f8p-k9 dy5 e+:1he charges is small compared to the distance klan:fn k7memp98ni+ p/p3 r51y -dhrR.



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 ufl)8r2 ,hoqmwniform elecw)o,2fh8 qmrl tric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potentialzp i6a bswv967 due to two point ebs6 zi 97paw6vlectric 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 ood d8, kz.fas(wa5u6ma0v*z of the electric potential due to a point charge as a function the distance r dsozv*5( kdu afz.a6,aw 8m0 ofrom 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 iz7 tt. ay,, f2uclu r(vjp6;kvp90sq charge of +3.2μC. Point A is used to describe a location 20cm from the surface of the sp v t;,utji,(pcqlv yu9z .sp6kaf 20r7here.

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 by a distan3vcj)a ,0wiu4/ yhm pyot.j3tce 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 the6apy )9ej /hdmp/lzb; corners of a square. Charges of +2Q and −Q, and unknown charges A and B are located as shown on/jldez/mp;pybh a69 ) 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?