The work done on a beta-minus particle when moving it from Y to X is fodw-;6 :vxtw6xsyr47y1* 7mr zh vhbsound to be −10eV. Equipotential lines are represented by the dashed l7r sy*wzbh7o wvr6yh1dsxx4 m;- v:t6ines 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 t+pvdj kw1e/ r4tn3h.separated by a distance of 5cm. The potential difference between the pvt/d4. n+13 r tekphjwoints is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamental forc/iahu*9 r e r rfez)5azb9-kd+es in decreasing order of strengthrf/9 9 riaba5d)rz e ke+u-z*h?

  A beam of electrons enters a uniform agziht9(u:; +iikmq8 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 stationary in a uniforml42;dlhjdu2 r5blfry:1 dxi; vertical electric field, represented by the arrows. Which of the paths shown would require the largest work to be do d52ji;yh b:d1 l flrxl2r4u;dne on the hydrogen nucleus?

  Two charges, separated by a large distance, are shown below, along with the ele io2;88ieh mdoctric f2;d8 oheo 8imiield 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 located o w5l;rd4xnn -dd gfr/geew a/m)nu. ;(n the same horizontale nr(w;e /.fdwx)l5/r;dd unmgna g4 - 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 uniformi dcugz5.,2( ,ulddimly distributed positive charge is bent into a quarte,md,i uz5ci(2ldug d .r-circle. What is the direction of the electric field at point P?

  A non-conducting sphere with radius R carries a uniformly distributed positive cf.h dg* fh1+gma t6 jnk)p9q9ghgpm kgj+hq gha)*nf9. d16ft9arge with 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. Wp 9z8;.zazi.,uog ciyhat may be icz8u.,o;i y.z zpag9represented 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 0ob0;ixkbyi cd;;s;w represented by the equipotential lines shown by the lines in the diagram. The electron’s path is shown by the dotted line i;yb0wxci s0od;k ;;b.

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 as7ty 5 nngwxap r2m-,rr+:i,pu+vi6 slsumed to be orbiting the nucleus in the first e 5xituw- v,pn:rg +6rl nsryp7a+,m2inergy 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. Soj4b as)p/rm w8-p *4qx 3gfgl0itds1tme of the electr0s3bjql rp1mpxtfa /48gs dwit-g4 )*ic field 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 represents how the electric field anf+9c lw;g.uzc r1:xp,p2mvtod the electric potential due to a hollow conducting sphere vary with distance from the center? The orm ,wp1+cg ou:trz fc2l; pv.x9igin of the graph represents the center of the sphere.

  Which of the following is equivalent to the unit of electric potential differencm :o).odh3yo8b)+ j uers)nule) nmle )8.s3)doroo ubj u+yh:?

  Two point charges of −4.0μC and 88.0μC are separated a/7x*dw0*8iqdgk am ;b: yhlcby a distance r=2.0cm as shown in the dia a 0gc;iw8l7* yxda/bqm*dh:kgram

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 enerk fv0 13ya vp;*y7zpvhgy.
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 equip2ra mb - to36yt3n/x1xzuitt210d pfkotential lines are represented in the diagtb0pou3izrk mtn1t2xy-12a d6xtf/3 ram 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 equipotential sur.k.c;zz-xb sx/ l wkf*b t(5 :bfqvmn;faces 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 d5 uu;9ypd8oua 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 with permd o*3bn6w*gygcg(3dy h-ryu6s 7cff9 ittivity ϵ. The chargeg*-h bs3fg3cyd y*6cuy7dwgfo r69 (ns 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 pk:ps+k9xitk ,vp xf 5:z7pxuzdgl*z(:3. lmthe negative plate of two oppositely charged parallel plates placed a fixed distance apart. The potential difference between the.:xpkuz+ ,x(t 5s xl9kg:*vf mik3z:z7p lpd p 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 ankwb 0gm89wlq-)(jjjtd gravitational form w)jl0-jktw(q9b gj8ces on one another. To the 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 correspotwno7bu8o *3y nding potentials are shown in the diagram, in an elywb7 3to8u*on ectric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges ylxf rngqz)l0.)-iqi .e (7 9 e+1iz cjsir-sy$q_1$​ 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 p y kev4g2colrmle 106-zh2eh1bo- o,warticles are at the vertices of a rectangle. Which arrow represents the ne106w egzlo,l4er1h-k-o 2 m hcv2bo eyt electric field at the center of the rectangle?

  Four identical negatively charged objects move in an electric fiel-)drnp52 : :omgiy fijd along paths shown as arrows below. Equipotential lines for the field are shown. Initialo ):yjdrfpgi n:2-5mi ly, 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 andeb e*9y.bku ;tu mcd/3jv;b,d 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 it reakt c u;9d,v bd*umej3./bbye;ches 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 resht,;b l23d gbvpectively are placed 9cm apart. A third charge is introduc bvbl2,hgd3t;ed 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 equipotentiaw+v (f /i6d6/e9 e ztf0llxa1csiq.gml 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 diagr +izi+h*iaaf96k0iy kam, the size of the charges is small compared to the distance+ 6ai*ia +z0 fihkyk9i R.



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

  Estimate the speed of an alpha parti-( u)dfabo fb:0h v+ uxpv5d)gcle that has accelerated from rest in a uniform electd 5v) (:x+a b)hfg0b-fvou dpuric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total e: vbj;*q-vet *lk. rmelectric potential due to two point electric chamvtelk.qrje *-*;: vb rges $q_1$​ 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 poig)k9+ bhyxq 2nf* *edsnt charge as a function the distance r from its ceb2d +g 9f )hx*yse*knqnter.

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 jmym;tk bc)ff;db*d9 4fk19of +3.2μC. Point A is used to describe a location 201fr j 4;);t cymd 9fbmfk9d*kbcm 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 ,b d 0 zivb9zmfb*)/xjdistance 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. Charges of +2lw fcm 2xn:n,ajb, //l3;vpccvx/l1 0cf cx7bQ and −Q, and unknown charges A and B are located as shcn1l vxfcb ambx /0l2c3p:v,f/j;cwn x, l7/cown 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?