The work done on a beta-minus particle when moving it from ew2 0kfer*9a33gca he Y to X is found to be −10eV. Equipotential lie3fge2c 0hw aa*rek39nes 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 plates separated by eeebn5er1 zg f*z965f a distance of 5cm. The potential difference between the poi f re5befe5zn 16zeg*9nts is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamym3qob r6lu+5ental forces in decreasing order of strenu 5y63m+lrobqgth?

  A beam of electrons enters a uniform electp8y3lk*l-)w7 evtggo ric 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 field, repr u/fxo97:dttzj wu.2n esented by the n ftwu /:tuoz9j.x2d7arrows. Which of the paths shown would require the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a larh5osv,hor )t+ gh6z-fge distance, are shown below, along with the electric field lines around hrh- 6o)of+ v5st ,gzheach 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 ofm 5gqnq,o08px equal magnitude are located on the same horizontal ligqo8mx5,q0pn 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 uniformly distributed positp, 3uryg+4 f/q7vno gvive charge is bent into a quarter-circle. f+v3,g7n qy v g/o4pruWhat is the direction of the electric field at point P?

  A non-conducting sphere with radius R cama4vr cnr*qu5 qaf3 d93zn; 6urries a uniformly distributed positive charge with charge per unit volume ρ.Point P is at a distance r from t;n d* r3uqamzf46na q5cv r9u3he 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 d5dzsfu1 ps++ kue to A and B. What may be re1 psdu+ +kzf5spresented 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 lineaq jpbcir3 0o:cj,y/0s shown by the lines in the diagram. The electron’s path is shown by the dotted line. ,i0r:jbc a03/qy jcpo

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 7(gyco3w nf8i; c*i*d ur.snuthe nucleus in the first energy level withs *o *c7g(.ru8nidw3nu fy; ic 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*bmimi /bsfh kaq:)hyp-h+7 5 the electric field lines due to t+yp:mi)qih5af7-m/h hsb *k b he 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 electq 4lz4xcsibgkrnw5 u*+ .) abyv2q6 6cric field and the electric potential due to a hollow conducting sphere vary with distance from the center? The origin of the graph represb4vc wku 5yga*s q.6nlr)bcz+4i6 qx2ents the center of the sphere.

  Which of the following is equivalent to the unit of elecy tbmbh:2*x ohm(h 3aa.xj:a -tric potential differenceaotx x ay mhhh 3(j*.2:ab-mb:?

  Two point charges of −4.0μC and 88.g3mb2ot 2wb rgb 27tr-0μC are separated by a distance r=2.0cm as shown in the diagram gtob b22-2 gt w37rmrb

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 enet am7 26 , r)lqygs-dvzclq/7vrgy.
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 lju+ u7d ozmgd*vltd.q-d;; z, f*+abare represented in the diagram sh ;z dbj*gdu.tzdaqlolmuv -+ 7,*df;+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 the equipotential surfaces of two)io xxhuks6u8 3xy -+g 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 a 271-qd x7yqbz.wry h);oo hhkt 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 permittivity ϵnv7d4w6:n h l* sxlo2dlvt 64o. The charges are then moved to air so that they have the same forcelons :lvv7h4lx*46do t62nwd 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 of two oppositely charged pb j(0 iik;yjp2arallel plates placed a fixed distyjb(p i0ki;2jance apart. The potential 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 yl:/hrzwvs64z 2nc u;object with charge +e exert electrical and gravitational forces on one another. To the nearest order of magnitude, what mass must the object have tonch u46;/s: v2yrwzzl be so that the net force acting on it is zero?

  Equipotential lines representing the corresponding potentials are shown in the 6oskvcf m5;- em v1fbw/q.5ppdiagram, in anbv1 5cv5/m- q ;e.omkwfp6ps f electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges u1bkomh).a(w 3yw k 2w$q_1$​ 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 rectangle. Whim26 l-co)ftqshw3; qa4hf0 me9419r xfn vny lch arrow repr2c4qeor4sxmh 6q;h a )y9 3l 9t0nvl-1fwmfnfesents the net electric field at the center of the rectangle?

  Four identical negatively charge-s9+ vw: an1cb tav2jod objects move in an electric field along paths shown as arrows below. Equipotential lines for the field are shown. Init 2tv os jn:bavwca-1+9ially, 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.a9v q-v mm43bv)iz0s ;xack j distance d and connected to a battery of potential difference V as shown in the diagramma- z0kc3 axs;4q .bvm v)9vij. 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 re1ue e a w ((kunqu9dgwj:+wf52spectively are placed 9cm apart. A tk g15d eww(+u :29ufnuea( wjqhird charge is introduced between 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 cha0 m6ec2eyfv;t,gq ;h* iwwx 2qrge.
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 siz h6h4gcm pphe6+3 iycedw2wldg-3a, :.p s8xee of the charges is small compared to the distance R4 :s.d-,c 2ce6hwgp3e mphwdax+ e8lp g6 hiy3.



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

  Estimate the speed of an pz r x,uj;60ixalpha particle that has accelerated from rest in a uniform electric field E=5xr0 x,6;zu pji0 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potential due to two point vfv )-6lvh+ onpyd k:+ey:+6dv-h l n)+ovvkpflectric 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 point charge awo 1xeb -,9qlns a function the distance r f1 xw qb,-nl9oerom 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 ravx,kv6 b;vp,xht70 +7hh a rau2nhbjqziq2 2(dius of 20cm and a charge of +3.2μC. Point A is used to describe a location 20cm from the s7 26ktq,;xnvvqah7 +h (b 22j,zr0u hihabpxv urface 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 by a djscj 0n/, ocbz(z*0aq istance 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 bt z zktz7do9( l ji(er+hvqd7l);gxlr:w-*) corners of a square. Charges of +2Q and −Q, and unknown char7w d7;tl *d( zo(i) hr:+qrl9-gbzz ltkxvj)e ges 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?