The work done on a beta-minus particle when moving it from Y to X is fou vz(mo*)y4zk3 od4vzs9q;ty lnd to be −10eV. Equipotential lines arzzz yomv*(v44d sql)93; okty e 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 movjp z2.k; l45ww1wexcyed between two parallel plates separated by a distance of 5cm. The potenti j2.c4ew;1xpw kylw5zal difference between the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamental forces in decreasing ou+.gxd*4y1ubr2 bg6lp , kb jwrder of strengt1yrwdg+ u46 *j.p2k ulgbb, bxh?

  A beam of electrons enters a uniform electric field, zn q;b1rs 6uad6q9*qdsfr g.3u b57yeas 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 fielj l;43o98oq0;vv;j xx fcwa eqdb: h.ld, represented by the arrows. Which of the paths shown would require the largest work to be done on tvlvc.0f;lxx4oo; q9a ;: ebjqdh83jwhe hydrogen nucleus?

  Two charges, separated by a large distanc tuyc2i4r4 a0-qdw1fwe, are shown below, along with the electric fiqw-u 0f y1rdc 4t4wai2eld 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 magnitv/it +ifcuq88ude are located on the same horiz8v u8 /+iciqtfontal 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 ben s9br)rg)s i.hq -g/)v;xqq+furd nl,t into a quarter-circle. What is the direction of ig.gqh sr v;uxd,s)rf -+q)qb) 9/ nlrthe electric field at point P?

  A non-conducting sphere with radius R carries a uniformly distrib)kw7m: ojxdvl;,;h+,imrv i luted positive charge with charge per unit volume ρ.Poi:l;)vw ;+k xmjv,h7doi,im rlnt 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 equipotjt.+ fl-oq(9d tyk6ga 6fm ha0ential lines in a field due to A and B. What may be repres+h 0a.9qg-6to l(ff6mydtka j ented 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 represenh : hofh95op4sted by the equipotential lines shown by the lines in the diagram. The electron’s path is shown bph45ho s:o9fh y 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 assum d7: igv:zzsh3e0-,w gt gu0rped to be orbiting the nucleus in the first energy level with,r et wz0 z0g:svd hg-:puig37 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 sl/.-x fim.;tzy jfw+k 9g gus/hown in the diagram. Some of the electric field lines due to the charges are shown on the diagram. Points P and S are twog.kfyt/xj/+s 9 gz;li-wf um. 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 representnh 1kkupm ;3n1qpx tv2ok7t /6s how the electric field and the electric potential due to a hollow conducting sphere vary with distance from the center? The origin of the graph represents the center of the spher/n6xn2kpq k mt1o31v7 pht;ku e.

  Which of the following is equivms; o/bymp5jidz)2y gb4v)w5alent to the unit of electric potential difference?5m5soigz) b)v2; wb4y p mj/dy

  Two point charges of −4.0μC and 88.0μC are separated by a distance mq8szt8 .ij-y r=2.0cm as sh8tm.s-iqj y8z own in the 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 potwy/a kd. .l34qqx w;4ttdir)pential 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 li:z7 e3hvk c 2eymy y/qcg7b:f*zr p,,pnes are represented in the diagram shop:bfreemv2kp,chy ,3qzz/7: y*7 g yc wn.
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 surfaces of two charges(fqf v8yp 0ee.j1,z te.

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 bv94o3u1h . dn5s3ix 9bw gkwiuoa) h1a 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 withi -pbt1qdnse.ndf24 1 u o e42o18wtfi permittivity ϵ. The charges are then moved to air so that they have the same force bep1o4s .nbdfo-42q1dn e81fu 2 iitwettween 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 chary* 8c tso7uj ; ut/bi5ia,arsf(44 ( m(wytyelged parallel plates placed a fixed distance apart 8 ol,5ftsaumu4; /bsjt yc(*47 eawi(yryt(i . 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 electri lh/y92z9pk1)hzp uh xcal and gravitational forces on one another. To thh9 kphp) 1zl9uzxy2/he nearest order of magnitude, what mass must the object have to be so that the net force acting on it is zero?

  Equipotential lines representing the corresponding potentials are shown vi jq*3//z2(hc)ogzh wpcg w-in the diagram, in an electr3cv)c g/w o -hizzjp2*qh(/ gwic field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges.5lsjn kb7wx ,7:ualj $q_1$​ 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 parpc9 :p8e + uywb9u:wdtw pc+p*ticles are at the vertices of a rectangle. Which arrow represents uywp tbp*wp9w::9pe+ud8c+c the net electric field at the center of the rectangle?

  Four identical negatively charged objects move in an el0be+htwa,yinjb6c+e z 35l : a1 +iobeectric field along paths shown as arrows below. Equipotential lines 0zhe+c+3 o +,:bt5ei1aw6lib n jyab efor 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 battett lvc8 i;;pr+j1j2r2mqku n; ry of potential difference V as shown in the diagram. A proton released from ijp ;kct;n+2uq8ljt2m1r rv ;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 9 ughca :tegmm7b67tx: 3;5selcm apart. A third charge is introduced between the 6sbxeucme htm; g77 :l35: gattwo charges as shown below;


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

  The diagram shows equc dp+wbi5v:a k,.mflch) 3p4d3vf l+ mipotential 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 diagram8qvrn:talp, 9+np x)q, the size of the charges is small compared to the distava+)qnq tn ,rl x:8p9pnce R.



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

  Estimate the speed of an alpha particle that has accelerate ygaxm - o. .xkl-wk9-9c;mwpbd from rest in a unifory w 9 -..lbkmpc9xkxm-; ogaw-m electric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potential due to two poinkll8xu,c-)hqz yu,v5 g,7zm5le iyk+t electr,m5hieklc8l y+5 ,kl7zuvqu,z) g -yxic 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 du2 .qwj-; ay;oo5rbr y6kljrx9e to a point charge as a function the distance r-kq r;y9b2xj5j;awl6 yoor .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 lrf*5 a3 )+v,o*f17)gdpc00pityqvmz myh po20cm and a charge of +3.2μC. Point A is used to de+top7v5r1h) glvz 3i dyma*0p)cfp, 0oyq*m fscribe a location 20cm 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;kr h,ob;n3d z 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 p ;d;y8nkr/wuo+zec+ placed as shown on the corners of a square. Charges of +2Q and −Q, and unknown charges A and B ar; cze; /8wo+ku rpnd+ye 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?