The work done on a beta-e 1re7x*d.yt r b0jyd3minus particle when moving it from Y to X is found to be −10eV. Equipotential lines are represented by the dashed lines in the diaeeb7jtry r0d.31dy x* gram.
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 mov rj 35erbf8phh7jnsooe) .+u )ed between two parallel plates separated by a distance of 5cm. The potenti7j h.b 8eu os h5r)p3)rj+ofenal difference between the points is 50V.
What is the average electric field E?

  Which of the followinfg4:6yj fsj* d29igehg correctly lists the fundamental forces in decreasing order odj 24:6gh* e s9jygifff strength?

  A beam of electrons entercfd 1kf6+c3ry/eys s1 3;f hoz/ob(nj s a uniform 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 uniform vertical electric field, re36jr v-swp 4xypresented by the arrows. Which of the paths shown would require the largest work to be done on the hydrogen nucleus?jw6p3x 4r-s vy

  Two charges, separated by a larg;/a .c0jhyptfk v3y,wm30g fhe distance, are shown below, along with the electric field 3.0f/w03kvaygpchh ,m y tj;f lines around 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 mbk)6nc f,.e+q towu y2agnitude are located on the same horize ctqo6f , +2byu)k.nwontal 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 distribut0hvcgnwc j +s0oe,+1am 8n jw*ed positive charge is bent into a quarter-circle. What is the direction of the electric field at pointvja ,w+g+ 1ocn8 n0s*0cjmeh w P?

  A non-conducting sphere with radius R carries a uni y-d,n;c fxxiyfwrq1u* 6 yjf3c;m8;fformly distributed positive charge with charge per unit volume ρ.Point P is at a dist n3 ;x*w;iqxj 1fffmy d8c6 -cy,ur;yfance 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 Atqo 3p ;(vhi,b and B. What may be repr,tq;io pbh( 3vesented 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 equipot*w.jg;(jyto oe bkk9hui4 0+cential lines shown by the lines in the diagrkeo;jw k9ho0j+4 t(*cg yi .ubam. 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 nucle 50o(+allp sy -qex(ysus in the first energy level with a speed of(leq50 a y-s+ops(xyl  $2.18\times10^6ms^{-1}$
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 diagr dfr:9kkzgv:u+9fg,n am. Some of the electric field lines due to the charges are shown on the diagram. Points P and S are twfz: un +k:dgrk9 f9gv,o 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 grap ji*ucjp/x36w*bvfi + hs represents how the electric field and the electric potential due to a hollow conducting sphere vary with distance from the cent+u i3bji/vxwpf j*c*6er? The origin of the graph represents the center of the sphere.

  Which of the following is equivalent to the unit of c;.mze;ew3kzq(n 0 mgelectric potential difference;m wm0 g;(ezecnk.qz3?

  Two point charges of −4.0μC l yrd /k5mkagmo/ot l-6*5gcm+0vmh3and 88.0μC are separated by a distance r=2.0cm as shown in the di 5+3oohgr mmkmdc-5 ymg60v/* all/ktagram

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 /pn74s;fx wo env4-/+cei yu uenergy.
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 li-ptp0wp ;y +gdmj v.)fnes are represented in the diagram show.-tp yv0 g jm;wpfd)+pn.
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 surfa8mdr2 ;c1fhv qces 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 20nC are held at a fixed distud)paz +bcfgwedzwm ae2ca0- 85e s;+285sqbance.

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 placera qsj.w1w83lavj *.x d in a medium with permittivity ϵ. The charges are then moved to air so that they have the same force between them as that in the mediusja3w jvr* a18lx..qwm.
What is the distance between the charges in air, knowing that $ϵ$=$ϵ_r$​$ϵ_0$​?

  An electron is released from the negcwc5)rsp+.jw,k. w2k x4xt oc a4 h/djative plate of two oppositely charged parallel plates placed a fixed distance apart. The potential difference between the two plates is V, and the electd hj4w/+wa)c j2kxtwo. ,s4xc5 . krpcron 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 vo ; irp:u ))w2bubmav5y2 fx3electrical and gravitational forces on one another. To the nearest order of magnitude, whwbxp23b:r) )fam y 2 uov5ivu;at mass must the object have to be so that the net force acting on it is zero?

  Equipotential lines representing the corresponding potentials argp f tg 4o*c*,yp2a-dne shown in the diagram, in an electric fie4dao2gptcypn**,f- gld.
Which of the following is a correct statement regarding this electric field?

  Two positive charges vd )c)fhom 87o$q_1$​ 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. Whi0z jiqlq39r mhthl29 0ch arrow represents the net electric field at the center of the re 0hhlqz0r9qi 3t2j ml9ctangle?

  Four identical negatively charged objects move in an p ;)z 8posb- ps:/dtuselectric field along paths shown as arrows below. Equipotential lines for the field are shown. Initially, all / u)d-:p ozsp8tb ss;pfour 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 a7;ft-whf-d dhnd connected to a battery of potential difference V as shown in the diagram. A proton released from ;wd ff--ht7dhthe 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 chargesd-sz ;1iuro. z of magnitude 2C and 8C respectively are placed 9cm apart. A third ch.rz1d- so uiz;arge 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 d j:lw)l8re5d 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 compared to the diyu9 m ;mrq m)/e df7f)irz/ -:fpixsj3stance R/ i 3;7):jf-ixre fysmz fpu)/9mqrmd.



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

  Estimate the speed of*4pc8s b+gohy sk*;+gnkamb: an alpha particle that has accelerated from rest in a uniform electric fielda:bcs gy+pbo** gn hk; +4ks8m E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric poteyth)4mj5+p /op:6ylehr 9nq gntial due to two point elec+ynp /p9rht :q4mog)yjl 5he6tric 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 du3eg6onhe dz7kn j b.92e to a point charge as a function the distance r3.og2dzn6jkhe7 nb e9 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 . h6lej4po zfjz4xoj r-*,af 1has a radius of 20cm and a charge of +3.2μC. Point A is used to describe a location 20cm o,fz eljao p.jz4r-6hx *j4f1 from 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 separac( 0cjgtu*mjkkmk/u -k61c *lted 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 onqr -d phai-pzhaz 1f;0r7k*x , the corners of a square. Charges of +2Q and −Q, and un rd,fxz a*rh0p-qi - zkh;7p1aknown 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?