The work done on a beta-minus particle wk wrg43+p;7ttudp - othen moving it from Y to X is found to be −10eV. Equipotential lines tw7 r3gktdtu-+p4 o;p 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 a diu/ipq qi.5 u7 1dgd3njstance of 5cm. The potential differqi/d1iu 5jqun .7 3pdgence between the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamental forces in decreasiegqo7d l;j 6n52(xk5q / lvmdqng order of 7 e6d(llg xk5nqqq;mj dv 5/o2strength?

  A beam of electrons enters a uniform electric field r6jx 4+qdj ,o;h wba5.zmpj.+tuqzh/, 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 elea; z3lo6nboo883xyp r7q1fyi ctric field, represented by the arrows. Which of the ppf3y;1yao38zib6 o nql8x 7 roaths shown would require the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distance, are shown belozbtpj7( 4q kw)w, along with the electric fiel j74)ptqbwk(zd 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 magnitude are loca ( 6aw5kcmh (xsvbxzlr; de518ted on the same horizontal line. bm w(a zd hx;rl 855xv1cs(e6k

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 di-1is tx 9 jq-c8b9m./ tmfxenmstributed positive charge is bent into a quarter-circle. What is the direction of the electric field bm8- .ft x91qmc j-st/ixme9 nat point P?

  A non-conducting sphere with radius R carries a uniformly distributm-1n5dz uvizha*58a y ed positive charge with-ayhz 5zmvui* 58nda1 charge per unit volume ρ.Point P is at 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 equipotential lines in a field due to A and B. Whatu9p5njr rzum252fa;83 qk z g28da0pyqqx(kf may be represented by A a2q0qfjnk;f958xrm p8pdu5r agk qz a22y3uz(nd 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 equex m6b-x xu:z,ipotential lines shown by the u e zx:-m,6xbxlines 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 k2x8fjv1m /ijx;q;n jg8ee,n electron assumed to be orbiting the nucleus in the first energy levi/ n,x;e 8jx1fe8 jq2mnkvgj;el 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 di6w9hg 3g.w v(qvjazvh9y 0: ptagram. Some of the electric field lines due to the charges are shown on the diagram. Points P and S are two points as located on the diav:hwjw3ha(v09g p . q9 t6ygvzgram.



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 pai (rb:e6y7g6 bvyve g5nrs of graphs represents how the electric field and the electric poten:7g(vgy 5v bneb6r6e ytial due 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 following is equivalent to the unit ofi s(z)bo;4z h3z6vgqm electric potential difference6;bzsz3)moh(g q 4vzi?

  Two point charges of −4.0μC and 88.0μC are separat4e luka y5a20led by a distance r=2.0cm as shown in the diagram2uy kle5 a40la

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 c*vksl 6g9bo kj;ye h 7pvu+ 65hkm-s1energy.
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 equipotentkjqx /*bf) qx5ial lines are represented in the dq)kx*5bqfxj / iagram 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 equipxi dl3+qlh6s)wel9 a1 1opz6notential 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 o6 zctr+pj9zys j04;mt vu8uk9f 20nC 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 anzs x8acw+8 wpkll,42re placed 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 m k8+lwlnzs42c a,px8wedium.
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 che wlfke)4v6*+x/ii q garged parallel plates placed a fixed distance apart. The potential difference between the *w6kf/ ilg +ve)qix4e 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 withsqabx c d;6o;4 charge +e exert electrical and gravitational forces on one another. To the nearest order of magnitude, what mass must the ob6 s4b;;co dqxaject have to be so that the net force acting on it is zero?

  Equipotential lines representing the corresponding potentials are shownvv./5o8ghy6mnu(ojx a2y y z: in the diagram, in an xjy/(m 2gvh:y 56a ynzvuo 8o.electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges4*vlc *m:g ppb $q_1$​ 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 rhzj:k++w-j7mjwn9;r a;cm 6igvcqs- k 9sin-ectangle. Which arrow represents the net els-gk6wnqj:ji9ms+ w hca7+-m; c -jk9;vz irnectric field at the center of the rectangle?

  Four identical negatively charged objects jqm6u81t jkp+h.y fm:r, 8iifmove in an electric field along paths shown as arrows below. Equipotential linehpmuj trfjf,i:m 68 q y+8.ik1s 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 a distance d and connected to ah0j 7i+c2m ;xos 5kgqd battery of 2g5k0jqsh7m cidx; o+potential difference V as shown in the diagram. 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 placed 9cm aprxn j,uz,v:j fa4(y ;xart. A third charge is introduced between the two charges,jy, vj (zna ;fru:xx4 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 chalo u rz vof- ni-;p f8)xlbgq/x)-71lfrge.
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 thwmn d: j40a3r*rhs+5 +qxjrmee distam+ne rrwjxhjrm:340aq+ *5d s nce R.



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

  Estimate the speed o2di er(vna.jsa d8. 6of an alpha particle that has accelerated from rest in a uniform electrie r.6ns.2 aj8ddviao (c field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potentia/cd pfwfry)ou oy:av(h24 5w 8l due to two point elec w/:ph fd awy2v u54coofr8)(ytric 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 electv-c6hz,sf wfu +q. lz8ric potential due to a point charge as a function the distance r from its z.+q,flzcwh6f8 vu-s 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. Pointlpdk0bd/ 65kj A is used to describe a location 20cm from the surface of the spherekk0bdd 5/lp6j .

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 r4 (onuc9., -pm s7exxaqq loj3 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. Charges of eol 47 84rt5 r,plabsf+2Q pfbael4 8o r7 ,t54rsland −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?