The work done on a beta-minus particle whejpc,o-f+ jm j;1az7*aofu 6wen moving it from Y to X is found to be −10eV. Equipotential lin aeo fom*j+a71 wfpz6-uj;jc,es 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 separatedkt1l a6w9t;sr by a distance of 5cm. The potential difference between the points twklra s9; 16tis 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamental forces in dee:r3:d s0oapg mi q1m*creasing order of st1 iogq*em:dsa p: 0m3rrength?

  A beam of electrons enters a uniform electric field, wyuc.x*:fz i x * g1yd-q5ya+uas shown.



What effect does this field have on the horizontal and vertical components of the electrons' velocity?

  A hydrogen nucleus is held seo 8ew 6z. 7mk/qxa:.hoplly+d.g9 njtationary in a uniform vertical electric field, represented by the arrows. Which of the paths shown .lg7 ez/q 8pmown:e d 9.ljakxyho6+ .would require the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distance, are shown belowx*.m,97 hn1( s(avg:a ez ,o5slwtwnhbmfa.u, along with the electric field lines around each chartns9( m* bs1. muhgoz e,h(:la,.wnaa5xfw7v ge.

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 char; wes*txfl 2g4ge of equal magnitude are located on the same horiz24w fl*gtxs; eontal 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 dis/a(q5y)wcrt v tributed positive charge is bent into a quarter-circle. What is the v/wq) 5tr(ayc direction of the electric field at point P?

  A non-conducting sphere with radius R carries a gxk4.:e:- ffm ksb( p4uv9forqg*mf : uniformly distributed positive charge with charge per unius 4ofv. ( km:qrmp:fe x49b:kg-*gf ft 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. What maowlgnwgu,n9a 1y. 5-cy be represented by A and B?cg. nl19ayw w5 nuo,-g

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 1gm hk.zvh:/ cshown by the lines in the diagram. The eleckc: h g1mh/z.vtron’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 - c8 nf3v+ mjv7cv dn:m-4jqxfthe nucleus in the first energy level wmv4 cfqv mv-78 d xfn-j:3+cnjith 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 Qtizeuysq+ d4b8q q)0/ are located as shown in the diagram. Some of the electric field lines due to the charges are shown on the diagram. Points P and S are two points as located oni+ 8uqt0 e q)z/dbq4sy 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 t08ofw o: p 2iku.rbmq*he electric field and the electric potential due to a hollow conducting sphere vary with distance from the center? The origk8 oi:m0p b q2or.*ufwin of the graph represents the center of the sphere.

  Which of the following is equivalent to the une0 ;mrmmhq 0o5nhi 7,; wbbh vr3f2xy7it of electric potential difference ; e7om 0b3hrmi;bqfyn7h,rwvhm502x?

  Two point charges of −4.0μC and 88.0μC are separated aitwel 3 sx0j7,/9hkuby a distance r=2.0cm as shown in the diagrau9itjel0,sa 3/hw x 7km

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 e l2s zytqyk/*7:6f fiv9j. oadnergy.
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 0vq+ za0sh.owon equipotential lines are represented in the diagram shown. .aq+hvs0 z 0wo
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 olxh,* :qymrf m)2ts) equipotential 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 20nC are held at a fixed disq9 q lwpv3v,vg.a 3pc-tance.

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 separatesju/p*rhp2 fdw uj hn4p 1,32td by a distance r are placed in a medium with permittivity ϵ. The24/ 32nppp *fhtrud1s u jjw,h charges are then moved 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 charg5 ;*6c2mfbx4 zdt hq1j5rmpkz ed parallel plates placed a fixed distance apart. The potential difference becp1*6 b rfkxmqhm5jz5zdt ;42tween 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 exelhh0 zc.q*mv97ygczf,w m73 ya7afc*rt electrical and gravitational forces on one another. To the nearest order of magnitude, what mass must the object have to be so that the net ffyac m*mgz 3 qh7af9yz.c0 * 7l,7chvworce acting on it is zero?

  Equipotential lines representing the corresponding potz 85p w6dio8mqentials are shown in the diagram, in an electric field. 6wp8d mzoi5q8
Which of the following is a correct statement regarding this electric field?

  Two positive charges4lpem rja4ui zwv+4).a7bn x) $q_1$​ 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 o88a szx8kcct8 f a rectangle. Which arrow represents the net electra88 cks8zcx 8tic field at the center of the rectangle?

  Four identical negatively charged obj2gz*e r8r hk g8o.+ia.0ylzkqects move in an electric field along paths shown as arr2g8 i+*0hg akozzr..8q eyl krows below. Equipotential lines 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 a bjbztnud ;rn:n s7 9;,c5h7no battery of potential difference V as shown in the diagram. A proton released from the positive plate gait b;nn :sjb7n 7z,o;chn5d9u rns 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 respectivee2u9i b;rxu5 fly are placed 9cm apart. A third chaxf re ub2;59iurge 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 equ5xw6m-h:/ ys xhvkf1l ipotential 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 o,zunr.jmk j cj27)1piqsj 2 vnq18le: f the charges is small compared to the distancn2sjecrnz)p. :qv jlkj 2m 1u18jq,i 7e R.



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

  Estimate the speed of an alpha particle that has accelerated from c/r;usf 24 i kk+drlx4rest in a uniform ele ;i rk4/ud+sl2xk4cfrctric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of f.k f5ztmv89q gbuw(+ the total electric potential due to two point electrit8u.9(+fq f gw5mv kzbc 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 /l unaocqo 88rre p1fj(:0jl(as a function the8lu l r(8o(1erpj nj/0 foq:ca distance 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 r q;caii 3((m6yj* bveof +3.2μC. Point A is used to describe a location 20vcar yb ii(3q;*e(m6jcm 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 q* iww-ztie k,( *gm4ka 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. Ccd,q -zcu .0b32qleczharges of +203q2zzlb-qce d.u cc,Q and −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?