The work done on a beta-minus particle when moving it from Y 4jfebrf9)cf p(: o.znq 2n1hw72zrrito X is found to be −9z( rp)q412irnrezh: ncwb fo .2ff j710eV. 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 moved betm8b x/ m9smcb c6d.3jqween two parallel plates separated by a distance of 5cm. Tmxs. 9b jmcc6qm3db8/he potential difference between the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamental fk)a2fp u sro p(mh5p,yr6n0*f orces in decreasing order uarfho m2 5(*y0pnfp, s6k) rpof strength?

  A beam of electrons enters a uniform electri n,x: +/+muxx/ctl)8i8ee yrs qpq8av c 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 bb( d/ 0ucrab2in a uniform vertical electric field, represented by the arrows. Which of the paths shown would require the largest work to be done on the/ca(r 2db0 ubb hydrogen nucleus?

  Two charges, separated by a large distance, are shown below, along with the elecewev jzs*8 p//fwm7v( tric field lines around each charj7msf8*zv/we e (vw/pge.

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 same bxm1rw lw16i4 horizo4i16rwmxwl b1 ntal 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 charge is bent inthj4z( yt aq*6go a quarter-circle. What is the direction of the electric zqatyg j4h(6* field at point P?

  A non-conducting sphere nf6l vim:yj ()l0pp.awith radius R carries a uniformly distributed positive charge with charge per unit volume ρ.Point P is at a distance r from the center of the s0()al6ynivm .jp p fl:phere.


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 dc5-/ asm7lns7b ue,:yub5 so aue to A and B. What may be represented by A and B? 5 5a m/uy7 7uelsc,-:bssoanb

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 lines s+b8y kmfah/ c,o:43bzhee pa*hown by tyk3beph*+4,ea 8zh/bo f: m cahe lines in the 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 assumed to be .ras7 jec8, p8gr/ion j.pu.k orbiting the nucleus in s7.. /jkj.pgra pir8,e 8u conthe 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 2Qr4c :+ n1dvbqc up26nj and Q are located as shown in the diagram. Some of the electric field lines due to the charges are j1rc2puv nd+c q46b n: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 hoz o6yjf4+9xzic ypv.;w the electric field and the electric potential due to a hollow co49 + pzzy y.vcif;xo6jnducting sphere vary with distance from the center? The origin of the graph represents the center of the sphere.

  Which of the following is equivalent to the unit of electric potential di syhz +o*.f;tyfferenceoh.; +yfy*tzs?

  Two point charges of −4.0μC and 88.0μC are separated by ae/cdl9c (x0yj distance r=2.0cm as shown in the diagry jc(xe9 /cd0lam

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 potentieaco/m+s( ft-inv 1z:al 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 ar5 fu) ldegy.5se represented in thel f. )5egyuds5 diagram shown.
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 ss6bhb958 mvh gr9ho7aurfaces 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 charge of 20nC2unl19dln t:r;ul p5r 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 disac:lk58*5t s/ttrwot rbfz2 *1yw .ustance r are placed in a medium with permittivity ϵ. The charges are then 8otw. c frt*w:t/l bzsura2*ky5 t5 1smoved 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 of two oppositely ch/fz 855vy9plg(x kv kkarged parallel plates placed a fixed distance apart. The potential difference between the two plates is V, and the elkf x5vkl8gvy(pzk5 / 9ectron 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 andh4gzk m )j.sac7o7 .ad gravitational forces on one another. To the nearest order of magnitude, what mass m).a 7sm4hkjazcd g .7oust the object have to be so that the net force acting on it is zero?

  Equipotential lines repres +h, r)lrary5+j:aawv enting the corresponding potentials are shown in the diagramr) 5 +rah:raj+valwy, , in an electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive chargesjf05 i dom417tq+y apt $q_1$​ 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 au( fao 3i4p;uhre at the vertices of a rectangle. Which arrow represents the net el 3hu(fp4uia;oectric field at the center of the rectangle?

  Four identical negatively charged objecthk tq6rfvd6m/8x/ 4wm s move in an electric field along paths shown as arrows below. Equipotential lines for the field are shown. Initially, all four objects have 4qmdt8krhm6xwv/6f/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 (2dzo r; 6 2*uwmt+2*m vyakeyepo)dland connected to a battery of potential difference V as shown in the diagd(wae2 ;o*)y plz u2od e*tm+2rkyv m6ram. 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 respectively are plac xlxm0yu;*1-ma r s2 0jvaj5vyed 9cm apart. A third charge is introduced between the two charges as shown below;yv 5ax01j *y;a lm-j0 xu2msrv


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 charge. i6t9o/g9j:*k ulce*vnh0fsu
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 comparjombn 3w 9zq8*ed to the distance89*m jz3oqb wn R.



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

  Estimate the speed of an alpha particle that has accelerated fro)vleay 6i,9rv m rest in a uniform elec elv9v6aryi) ,tric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potential due to two poid/9al2zy ir h)nt elecz)h/d9i2l yra tric 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 variatwpa1 a 6/54 bg,owksution of the electric potential due to a point charge as a function the distance r from 5twboauapw1s , /g6k4 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 of +3.2μC. Point ayxc:if8j3 d -bl5cv(A is used to describe a location 20cm fro5 vf-3j(x:alcbd i8ycm the surface 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 s(-cfk)0isfz l,odwa 5p4c q+u eparated 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 shown on the corners of a square. Charges4 azlw4ox;fw/r+45q y rsj3:eeh qk)a of +2Q an 4 +z/4wq rjorqf)4h a3se:;kxlwey a5d −Q, and 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?