The work done on a beta-minus particle when moving it from Y to X is fou- h*0 xdrif+ nf;ze (mkli8bl2nd to be −10eV. Equipotential lines are represented by the dashed lines in the d -82;i( hixffe0m+kr nlzl *bdiagram.
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 betd uu0fjm/v8s 0:grz,d ween two parallel plates separated by a distance of 5cm. The potential difference between the poinr/dzm 0,gfdus j v8u:0ts is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamenjm 3/j18)twb3zs5 yb q(v yckq ugpw0:tal forces in decreasing order of streng k jbctw3v8:q0wq )j3s gybu1 zp/my(5th?

  A beam of electrons enters a uniform electric field, as showsfpv4w x.6;tg3 5 nqpzn.



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

  A hydrogen nucleus is held stationary in a unifo/k::srz p7eitrm vertical electric field, represented by the arrows. Which of the paths shown would require the largest work to be done on th/ kzi:st:7 repe hydrogen nucleus?

  Two charges, separated by a large distance, are shown below, along withl r+8ej.mvq3hg1 4t xj the electric field l1.qv h8r3mlt4x ejgj +ines 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 located on tb0 ;r2tb18a zdnuuk*ihe same horizontal lintkib0*n8z2r; ub1duae.

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 distributedpx pk:jwncmz vyg),)5m-m +8f positive charge is bent into a quartem58gfc zpk- +x wyp,mj)v):mnr-circle. What is the direction of the electric field at point P?

  A non-conducting sphere with 6d-w) 31fu hxgvgmeo/radius R carries a uniformly distributed positive charge with charge per unith1ugm-do 3xe6vg f/w) 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. Wv8 o+* e8zqg:zsvvap r6x,y(khat may be represented by A and Bg6r+: yexs v8 pavov8(qz,k*z?

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 equipoteq4i+sp;iz )hz x q:0ggntial lines shown by the lines in the dqi ggi zh) +zxq04p;s:iagram. 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 as,j)wt6auxn(enpn l +v5ipb0elw 163 osumed to be orbiting the nucleus in the first energy level with a speed ,ll6nw)et1 jne5a0io 3(xp6nw+ bpvu 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 t 95+6le/g;m qgx5vjmwg6qnv mhe electric fielen6 5v;j+x mmv/g9g6qmglwq5 d lines due to the charges are shown on the diagram. Points P and 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 representrcrf,d;6xiw m54 kja(s how the electric field and the electric potential due to a holda4j 6(cx 5;r,fkmrwi low 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 of electric pog-yv -wpcp 6,;gqh/qm tential differencep/cw 6 ;p,-gqgm-vyqh?

  Two point charges of −4.0μ;wn/ w:x;a lncC and 88.0μC are separated by a distance r=2.0cm as shown in the dwwcx;ln ;a/n :iagram

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 poten(1ddmku6o( gieg(/4 k6 io elupv3o (rtial 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 fourjlkmm/+-d 8 hd . 8yi*yxqc*hs points on equipotential lines are represented in themi* y8h- +/qxl. yc*ksj hdm8d diagram 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 equipotenti7n 7imsy7rlvem rugjo):6 d/fc;t (4tal 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 a0 gzdsdyo; ysz/5*ht4 t 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 plac d,z (b 5hjopc /ds9cqgqn:)9ked in a medium with permittivity ϵ. The charges are then moved to air so that they have the same force bet znck:pcsqj,9dgo/ 9d q5 (hb)ween 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 oppost 3x. 9gj bkb8-9lexhwitely charged parallel plates placed a fixed distance apart. The potential difference between the two plates is V, and the electron reaches the positive plate wit-x9kb.9je3 htbwgl 8 xh 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 and5 3i*id3ya( .,ial7klilbfik gravitational forces on one another. To the nearest order of magnitude, what mass must the object have to be so that the net force acting o5ik ki f.,i(a7dill3bliay 3 *n it is zero?

  Equipotential lines representing the corresponding potentials are swxx vr2s0g. -5kw cs8hy0.tq) zq xfr oy9f*(vhown in the diagram, in an)gwcxxswf(8vy0qz rq5r20 . .h k-vtsxfyo9* electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges yhjp: -,h-8bz 0g)h9 ecaohvm$q_1$​ 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 rec6vo -opr r+k1utangle. Which arrow represents the net electric field at the center of ther+o-vrk6po1 u rectangle?

  Four identical negatively charged objects move in an ele6drpjc v )drpjg023. wctric field along paths shown as arrows bp.wjrj63dgrvc 2d 0p)elow. 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*:.*hq1h-k0avyqj pcqopq 8n a distance d and connected to a battery of potential difference V as shown in the diagram. A proton released from the positive plate gains a speed v when ykoj.q*8:pq 0np 1*hcq- avhqit 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 ar-w,x gfs8) cjie placed 9cm apart. A third charge is introduced between the two charges igw)scxf- 8j,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 poin 9ylb-u ut)*)fd59:dr fghhk kt 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 comparedpnu- my0imc;:lh +y9j to the distancei u +; ycn09mj:pmyl-h R.



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

  Estimate the speed of an alpha particle that has accjoy7 6mstm1z yj3:5ctelerated from rest in a uniform electric field jysz:5c j7 tm1t6 mo3yE=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potential due to ;e +hd (cl4pbki c:cz(0wb4q nh) )tubtwo point electri4tw);cb0+k4q ()b dnci: (zhcpu behl c 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 -ba.oh/rph 8 c/; l3fbz sx:bwof the electric potential due to a point charge as a f/fs. rpbx ha -z:hbb/ l3w;o8cunction the 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 2l ,)lfcp)7gy kn6drpl ). uvoof 20cm and a charge of +3.2μC. Point A is used to describe a locodpful7.n)y,6r2c)gv )ll pkation 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 by a distance r as shoks .tx-t),f gwozn3 p/wn.

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 cornjaev8r5 p0bjiv ;m:6fers of a square. Charges of +2Q and −Q, and unknown charges A and B are located as shown on the diagram8jp:rv iv jf6;abm 05e.

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?