The work done on a beta-minus particle when moving it from Y to X is fou82y:clq0i h n;s;m owcnd to be −10eV. Equipotential lines are represented by ylnhq0wo 8i:;msc2c; 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 betwe3. a2+m* *zphb3qvun1 sg(+vll5cjqh. vv t dten two parallel plates separated by a distance of 5cm. The potential difgls. p2hnv+uq5 a1**vzb j3mlqtc d+3v. t (hvference between the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamental forces in decreasinbr. 9c5 v7wu1fdzm8vgg order 9f7v.zdg 81cv umr5bw of strength?

  A beam of electrons e +,j(mc q1 q5b8vdg2jyupk 8mbnters 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 stationarax0o1 fvu8c j t/ygm6;y in a uniform vertical electric field, represented by the arrows. Which of the paths shown 0j f;omv8cgt1ay u /x6would require the largest work to be done on the hydrogen nucleus?

  Two charges, separated nh(yz i22d.7xi9aad)dd8guiqc*fak 1u82y d by a large distance, are shown below, along with the electric field lines a d).2 uid *9dnixyfg8aky(z2h81uaqa2dcdi7round 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 saa4t;xo 4yf)b rme horizontal li4f ); ro4yatbxne.

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 b +ze+) j*t*/iz 8rzjpvh( pxccharge is bent into a quarter-circle. What is the direction of the electric fiel)i(zjvp *8bx ptc++zrh*e j/ zd at point P?

  A non-conducting sphere with radius R carries a uniformly distributed n g ,(4hs+xjnepositive charge with charge per unit volume ρ.Point P is at a diss (+nj,enxgh4tance 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 eflfdp,v8:me1l0cz)a cv +7 rfquipotential lines in a field due to A and B. What may be represented by A and B? 0)lm1vae7pld f:z+c8 cf r ,vf

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 equipotentd3nl zjx85s;* o.osg fial lines shown boz5*o8js. nfxgdsl3; y the 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 modelejaeovsy9ikgp- l( 0*2d with an electron assumed to be orbiting the nucleus in the first jki(90s gap*ov- el2yenergy 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 the diagram. Some of t25nlsbs *6nv+y4b , j rayu4oa 9n6zpq 0pgur2he electric field lines due to the charges are shown on the diagram. Points P asv2r4snu 9zl25y,jnunr4a6 6ogy+ pa q0* pbbnd 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 repreo c(zrxjc) z1nc t0)-esents how the electric field and the electric potential du0cjc(c-z e1)ro) zxtne to a hollow conducting sphere vary with distance from the center? The origin of the graph represents the center of the sphere.

  Which of the followinphdgw8 7xja:;d ru+ dh9d3kq9g is equivalent to the unit of electric potential differenceduh7+j38 dp9rwx9q dg d:kah;?

  Two point charges of −4.0μC and 88.0μC are separated by a distance r=2.0cm asn rb)mdj4 zk5) shown in jm n45)dzkb )rthe diagram

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 energyj:gm g(8e vdncugys87i4,fl1.
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+1h-dahoc,y u points on equipotential lines are represented in the diah-o1udah, y+ cgram 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 equ/ 7xd2-f2oma: wyimbn.mznf+ipotential surfaces 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 20n:tdz3o2 sfl qr4 -cz1cC 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 distance r are placed in a medium wit azy ;t2a)0fl n*ype*mh permittivity ϵ. The charges are then moved to p0zl e* ;tya*a nym2)fair 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 charged pg.l . hlbg,-h cekz)-sarallel plates placed a fixed distance,lb)gs hgzk-l ce.h. - 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 object with charge +e exert electrical and glt /su(* vskk7ravitational forces on one another. To the nearest order of magnitude, what mass must the k(l7tk /usv s*object have to be so that the net force acting on it is zero?

  Equipotential lines representing the corresponding potentials are show,asrhcpy5: y* qxa w2me( 5k9qn in the diagrq eac9 sqwkm:p ,a5yry x*5h2(am, in an electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges (ve,a:h r 2h3 a+pucux$q_1$​ 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. 3/p)olk af 6cmrb 0cnlj -0y9tWhich arrow represents the net electric field at the centerj6cma0cy tknl/bpfl 3 90 r-o) of the rectangle?

  Four identical negatively charged objects mts9x f*ct6fqyhzg h9 jr n/7z/yk ;+t/ove in an electric field along paths shown as arrows below. Equipotential lines for the field are shown. Initially, all four objects have the same ytfgt* /n6xyz /jcfqrz9; 9s7/tk+hh 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 alqk hx5d(xl*6 nd connected to a battery of potential difference V as shown in the diagram. A proto6l5q( x*xkldh n 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 o9ec ;k(o2)60ocfc xny8iuyu 4uss 6phf magnitude 2C and 8C respectively are placed 9cm apart. A third charge is introduced between the two charges as showen(uy 40o8i6;p)ucsouxc2ykcfs 6 9hn below;


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

  The diagram shows equipotential lpru b gr:3 ybex7,5ww/ines 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 diat4ij ,8x/ 0 jzpsmxw8cgram, the size of the charges is small compared to the distan p,sjmzj48cx t0 xiw8/ce R.



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

  Estimate the speed of an alpha particvfx +0pjj dtes-1ex)z(g w:v0le that has accelerated from rest in a uniform electric fiejpz(wx0:xv ftse gjv)- 10d+eld E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of thanuhi9 *m -/iq.gk aa8e total electric potential due to two point electric9aa.iu-q k/ng8mahi * 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 charl+r4lqe b1 va3ge as a function the distancbe laq1 r+lv43e 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 a radius of 20cm and a charge ofb 07m7 (s 9ec;ehhc;ti-c:hc/ im xqny +3.2μC. Point A is used to describe a location 20cmq che7hci-msby:0m79te;c x c ;in (/h 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 separated by a j*uqak: 5);saudxsve+n8. io 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 hen,y r s85df3.delg1 a square. Charges of +2Q and −Q, and unknown charges er.e1h8dn3 5 sdl,fygA 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?