The work done on a beta-minus partn nc ojx4qi(4sa9k; x-icle when moving it from Y to X is found to be −10eV. Equipotential lines are repj4k qn (o;a n9sx-i4cxresented 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 plates separated by a dip asnu:.w 5g9y kp*kd3stance of 5cm. The potential difference between the5 aksn.k:pyg9w * pdu3 points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamentt/qwpg*nvl9m ,3ke t21v7n*db k y p+lal forces in decreasing order of stkt3mlg2/new+ qvl1tpk9 7,y*v* pbdn rength?

  A beam of electrons enters a uniform electric /y.in s qvy52bfield, 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 16ej8jk;ir*a b2vjo -bkon 0bzoz 24buniform vertical electric field, represented ebbj 12 anb- 8jb2kjz6iov;r40oo*kz by the arrows. Which of the paths shown would require the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distance, are shown below, alon qcn6ys;u6/ur g with the electric field lines arou cuqr/ n6s6uy;nd 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 sa3sybt (fd1 eo9fq,s5lme horizontal lis1 5yf3 fsdtb9eq(lo, ne.

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

  A plastic rod carrying a /y(lt71v m 4wpczx6ftuniformly distributed positive charge is bent into a quarter-circle. What is 1vltm( w 7fx6zc4/ yptthe direction of the electric field at point P?

  A non-conducting sphere with radius R carries d u.kvb6sz b+:a uniformly distributed positive charge with charge per unit volume ρ.Pvkd+subz: .b6 oint 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 lizsi*93m0 y5nzk.-gdc7ie 3j-bokp2 fe olei* nes in a field due to A and B. What may be oip9.*skd - -fgi0bm7 k ej5 2i3*3neylozeczrepresented 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 represenkj;5rfcs(m,ncw ,wf5p6 r.ngted by the equipotential lines shown by the lines in the diagram. The electron’s path is shown by wrn 5kg ,,fcp.m fwrc6n sj5;(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 withgm wh5 ,ag)sas 37g.i lq0q*lr an electron assumed to be orbiting the nucleus in the fisggi wagam,sq37)0 *hlq5l .r rst 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 the6ljz3sog kl9, diagram. Some of the electric field lines due to the, 3jzlklgso96 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 electric fiely ;jo1mka9;)lx n :tm b5uzd4ld and the electric potential due to a hollow conducting sphere vary with distance from the center? The origin of the graph represents the center of the n9mtjz )lm oly1ua5; 4bd:;kxsphere.

  Which of the following is equivalent to the unit of electric potengou1 t t5lo(h)tial difference (hl o5o)tutg1?

  Two point charges of −4.0μC and 88.0μC are sepag s ,7pibn4q 0 savdyhap.( u+1.fs/zsrated by a distance r=2.0cm as shown in the diagrbp1 ysg. .0hsaqd( piss/znfv7u+4,aam

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 pot) eb*lxcns9 )d 8wk99lni7qc jential 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 a9(maudi kf,n ,2x7 ndin the diagram shown. k,m2x9i 7a(dd,nf aun
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 two chp90w3vjj 3 dkftl3e; carges.

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 a5a3wx:jbu)p tj3,h nut 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 medium with permitti8/dj9 rohxebzb4h z0s u j14d4vity ϵ. The charges are then moved to air so that they have the same force between them as that in the medr0 8b j1zhd4z4uh dx/4beoj s9ium.
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 ok:lep:weh z-m923yzx ;kejy 5ppositely charged parallel plates placed a fixed distance apart. The potential difference between the two plates is V, and the electron reaches;3zhlyekzjym:2e kw: - x5e9p 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 obe7( *rq( iembhject with charge +e exert electrical and gravitational forces on one another. To the nearest order of magnitude, what mass must the object have to be so that the net force acting on it is zerq(e7 rieh*mb(o?

  Equipotential lines representing the correspondindy lvma 9t f,,;b.x -vuvbyj0:g potentials are shown in the diagram, in an electric ffu:-;, .,dtlxb0mybja v9y vvield.
Which of the following is a correct statement regarding this electric field?

  Two positive charges fygknon/u*:-.qg / oa$q_1$​ 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 reb)8j t-0a fbaectangle. Which arrow represents the net electric field at the center of the rectaa8eb fbt0 )a-jngle?

  Four identical negatively charged objects move in an eleco6ylk p4s 3yur(e 1-uatric field along paths shown as arrows below. Equipotential lines for the field are shownu lk6y1r p(sy4e u-3ao. 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 distance d ufxm8b,fj+hm3b/kp .) 0q .4gy5inysf 0i xjrand connected to a battery of potential difference V as shown in the diagram. A proton released from the positive plate i,im +0f)b8n.f5j4s.yfkp0hx uqrm g/jyx3b 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*uz5p:o 3ml4 hoh-ffke1n jv- placed 9cm apart. A third charge is introduced between the two chare3opz ofv1-h*4- 5kljuf h :nmges as shown below;


At what separation, X, from the 2C charge is the electric field strength equal to zero?

  The diagram shows equipotu-xa3 sj+k( pmncbhs. )rn 5q-ential 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 small 4c-e tw6y;txjmr-/zocompared to the distay-r -6t4zw ;/tjxemco nce R.



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 cxt7ogkvki,nn88e9 - a uniform electric field 8-intv eg, 9xon 8kk7cE=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potential due to two point p9t;/ ra(xnq thvqs;. electric chh(xp.as;vn r /;9qtqtarges $q_1$​ 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 due to a pointtpn1h) 6y4 ojp charge as a function the o1)t n4h6pjp ydistance 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+ )wjh yog f(5cse50ts a radius of 20cm and a charge of +3.2μC. Point A is used to describe a location 20cm from the surface of+0( ) ygh tfjsoew5c5s 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 separatedg,.ko bn40-x h7u1rt yclwy4a 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,.8gm --y tzrd7m imar shown on the corners of a square. Charges of +2Q and −Q, and unknown charges A and B are loc. rzd --yim8a mtg,mr7ated 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?