The work done on a beta-minus particle when moving itwtmk 86 (d* ehyv3xbt v*-ltq) from Y to X is found to be −10eV.te6tqx yk(3vm)h 8- b**d wtlv 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 movyg42 6r0dhaem ed between two parallel plates separated by a distance of 5cm. The potenti ae 6r42hm0dgyal difference between the points is 50V.
What is the average electric field E?

  Which of the following correctly l41k gi*w:l ba-go7dso ual *owm y4i7/ists the fundamental forces in decreasing order of s7lsiaudglig14bkw-**omo o wa 4y 7:/trength?

  A beam of electrons enters a uniform electric field, as shown.p2g so8-qi7xj



What effect does this field have on the horizontal and vertical components of the electrons' velocity?

  A hydrogen nucleus is held stati1 qput58r +ke49sqtitq/b1psonary in a uniform vertical electric field, represented by the arrows. Which of the paths shown would require the largest wo sp 1+ut b84t9qeqqs5itkpr/ 1rk to be done on the hydrogen nucleus?

  Two charges, separated by a large distance, are shown below, along w+4 m-:zui vt0msn.eqk2 y 2lptith the electric field lines around each chak -t4qmi su2:yt .vp2z0menl+rge.

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 au uyj v+q:smh*gyrq72 k2 r03lre located on the same horizontal line.h0y 2su+*7jlgk q yrur:v3qm2

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 charge is bent into a 6uo)v(,isdkzdlh7 l: quarter-circle. What is the direction of the dzsoud,v6(7ilk ):lh electric field at point P?

  A non-conducting sphere with ra/ tih++ 7gkm/cz lss:v1z 5zzbdius R carries a uniformly distributed positive charge with charge per unit volume ρ.Point P is at7hzzmg tci+vb1 /z+ ls5 z/k:s 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 equipo j-r05 n7tw/v4lmomrn-d z 3dibr:9qytential lines in a field due to A and B. What may be repr-3 -9ytz/lr74ojqrnd wmr v mnb0:5idesented 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 electridk3* l f60dns: vsbtt7c field represented by the equipotential lines shown by the lines in the diagram. Theb 0:v* ftn3 k7sdtls6d 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 ele4kiuog5c a/i* ctron assumed to be orbiting the nucleus in the first energy level witiguak/4o *i 5ch 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 l2d z:yk1e f/vaocated as shown in the diagram. Some of the electric field lines due to the charges v ef1 kzya:d/2are 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 pai6 )(xsufi3 boaur6-k(fhib k8rs of graphs represents how the electric field and the electric potential due to a hollow conducting sphere vary with distance from the center? The h( ibksxr( iba3 ufuk6-)6o8f origin of the graph represents the center of the sphere.

  Which of the following is equivalent to the unit of electric potential differhsxwsb6g26us * amo(d8x4m: oencea6ogs8sb*6:h( 4xdum wms ox2?

  Two point charges of −4.0μC and 88.0μC are separatr; dkq7laqad d+ axu9e*22 bx1ed by a distance r=2.0cm as shown in the diagr ;b+ qaaq7d2 ue *1ddr9kaxl2xam

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 potentizzpx3mnnm- mf6 ( :zp8al 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 arek 9l 0q blxcfcxy)-k0- represented in the diagram shown. 0q y-9c0b) lx kx-kcfl
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 chargfp2au3q2r r9l ,x/(mbrqx,u ees.

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 helwt) fhv55bx)thq mb+ 8i7:prm)m*yh ld 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 medi.ax; cs t:4bxx0j2jxf um with permittivity ϵ. The charges are then moved to air so that they have the same forb c4sx.fj:j2xx xt;0ace 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 releasa fl2jdnuno/+9kew(vly1x;9 ed from the negative plate of two oppositely charged parallel plates placed a fixed distance apart. The potential difference between the two plat9exy na9voufk(wlj /dl+n ;21es 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 gravitational5o nda*7-9fi dmeytjz8c92ky-g e +nqw2uym( forces on one another. To the nearest order of magnitude, what mass must the object have to be so that the net fo cgwq- kton87+29yzd *mi ye2(y59 dnjufmae-rce acting on it is zero?

  Equipotential lines representing the corresponding potentials are shown o5bh crl/4zj9cubx-5sd7 .m q in the diagramqbh9r bou.75dx4j mc-l zs/c5, in an electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive chargesnaz/frbv:,wp 1 ks3.-5xdf st $q_1$​ 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 the9 cn; a51wjaj*wpgi9w vertices of a rectangle. Which arrow represents the net electric field at the center of the recta9 *g1jwcjwiaw9a5p; nngle?

  Four identical negatively charged objects move in an electric field al1uq ykpzdr79 ,ong paths shown as arrows below. Equipotential lineszu91q7yd r kp, 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 f)gmq:s t1/t na distance d and connected to a battery of potential difference V as shown in the diagram. A proton released from the positive plate gains a speed v when it reaches the oppg:1t smqn)ft/ osite 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 animr e75:u797coecf a id 8C respectively are placed 9cm apart. A third charge is introduced between the two c :779 me7eou5ic acrifharges 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 pointj.z3z al9 paanc+dkai8)/ bbq5lxm;7 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 compared to the dists8-nvdxn6d/jb7y g4ue l+ e7e ancel+dgx8ejy e7 n7uv 4n bs-de6/ R.



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

  Estimate the speed or5dop4 g23i1 q*tvpx++ lx lelf an alpha particle that has accelerated from rest in a uniform o+1 3xqleirv g l+tx*42l5pp delectric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potentialr - m9y)cbs6r02izpn j due to two point elcpr60srn9)zjby-2 i mectric 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 of the electric potential due to a poi:x9fqhpo2 .p+eh*aycjr -3h e nt charge as a function the distance r from pco f2q:h.*je h 3h9r-ype ax+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 charge 7 rf*,n71w:pfcx whrs of +3.2μC. Point A is used to describe a location 20cm from the surface of the spherf7c wfh swn rx1*p,7:re.

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 distance r as sheb(u,-2 io)v6pdc 4+*h;gx g.nhflmjv) ol czown.

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 squarlq7 ucf.tkr03f g9rd( e. Charges of +2Q and −Q, and unknown charges A and B are located 9r.0l ftu(fkcg 7d3qras 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?