The work done on a beta-minus particle when moving it from Y to X is found to b,9t, hvj. 1t4z ydlm/wdkf i8we −10eV. Equipotential l8 l9 4h1y,wdt,kjit ./wdmzvfines 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 twoem )vh4t;a2 66 pijpxd1(rzkd parallel plates separated by a distance of 5cm. The potential difference between the points iektrv;pd ) ij(xaph41z 6d2m6s 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamental forces in oh:n yj,mx(a ypi.l(,decreasing order of slamo(,nih:.ypy j( x,trength?

  A beam of electrons enters a uniform*;y imfb1sv*qd 3vu- k 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 statw7 leceakdi7(2kw 2f(ionary in a uniform vertical electric field, represented by the arrows. Which of the paths shown would require the largest work to be don 7k(fla(ck d22e7eiw we on the hydrogen nucleus?

  Two charges, separated by a large distance, are shown below, along with t+fa5ngy o.x;)2fu50b ffeagi he electric fieldf nf+yg;iga0ef5oau5 b2 )fx. 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 )r6 rs2thcx8mr5;wlflocated on the same horizontal line. rwfhsm5x cr;r 2 )lt68

What is the direction of the net electric field at the point marked X, equidistant from the two charges?

  A plastic rod carrying a uniformlidbo 8k lfe) dpk k7m:3i76o4sy distributed positive charge is bent into a quarter-circ 8: bfi4kko7do6d3ek) ml7 pisle. What is the direction of the electric field at point P?

  A non-conducting sphere with radius Rzic24j a x fsl 19t1+:4-yqe0d *nagl+vj icks carries a uniformly distributed positive charge with charge per unit volume ρ.Poi+gzdl sc nifi1aa-lx21y44:v*+s0 j qjkect9 nt 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 iwoum3v,gn ido)se ( y5 *l;d0rn a field due to A and B. What may be represeso)du* l;( ,er5wdn3gmo0iyvnted 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 fi*kf) k(w sxe9eeld represented by the equipotential lines shown by the lines in thexwks9e )*(k fe 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 electron assumed to be orbitina* to ,i(2oellg the nucleus in the first eneo2 l,ta(ole *irgy 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. Stnt3pcm 41g x vxd8a m3xeva(1o4) f5pome of the electric field lines due to the charges are shown on the diagram. Points P and S are two points as 3 )m px41c(d48tetfamnva vp go xx531located 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 followingk/ eh84zrp41wzjfo 2)q* mwms pairs of graphs represents 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 themw oze p*/s2k)wq4m4fz 8jhr1 center of the sphere.

  Which of the following is equivalenqd2ifb3*w-; y .zkpomt to the unit of electric potential differenc*idof3-q mkw b 2;yz.pe?

  Two point charges of −4.0μC and 88.0μC are separated by a distance r=2.0cm as sh e ) q,b+knn8 s8oks4ddf4jen/8jxu6 town in the nkfntk snx4 s68/ o,8qb8+j d uj4)deediagram

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 potens,;tp m)e1chmtial 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 fourf5, pz b8nja)a points on equipotential lines are represented in the diagrafnaz5j)bpa8 , m 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 surfaces of tw ih9h5efp-t/zy+e7 vqo 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 atbbwen;4qeft h pd,*rf;6s, 3t 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 an809zcefkqh* . y1jdxdv+(z q1sy.qsre placed in a medium with permittivity ϵ. The charges are then moved yczfh8xqke+z(qsd0 9sy. *n1.jqv1d 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 opphgj,6 dg3tn,o ositely charged parallel plates placed og3d6,h ,jgtn a fixed distance apart. 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 electrical and grav sdb0 k,*gfpzh.8)fekitational forces on one anhff*z k).08p b dkes,gother. 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 corresponding potens+e3ve zj hs*6go x+;ttials are shown in the diagram, in aex ;v6h+3s+j*g ztose n electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges p s(tjdym0 mx4j6qr4 pwk4 8e,$q_1$​ 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 vertic78ggk )3 wvh0p ycx(yges of a rectangle. Which arrow gy3vgpy)7gh( kx8w0 c represents the net electric field at the center of the rectangle?

  Four identical negatively charged objects move in an electric fielz.-oks;9 sk lrd along paths shown as arrows zklso9r-. s;kbelow. 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 . k;sydci n**db)pd2m;fe y +0,qblr fd and connected to a battery of potential difference V as shown in the diagram. A proton released from the positive platdfdrk *+ld.bmbpqs)i;y efn* ,02c;ye 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 apazx,l dc*4 (pfmrt. A third cz(px lc,f* md4harge 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 equipotential lines due to a po)d.y/ 4jgbsc6 qs2xboal3bf+ int 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+jrm5 h 2lw;:l6b- r9oiqcjxnvmc 8z) compared to the dista6-r;onqmz+ wxcvh:)9bm j c8 irlj2l 5nce R.



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

  Estimate the speed of an awbezc w;1 :965jzvk9h0hdkyhlpha particle that has accelerated from rest in a uniform electrd6b0:c;5hw9 jh 1zhekk wv9zyic field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potential due to two poikc: 3s/ cythho,b-*hint eob:3,c*hhsky- h t /cilectric 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 electr9z 0rvw0b- lfl hsmu*.ic potential due to a point charge as a function the distancerb9fz0vu l0h* ls.-wm 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 20c10q utoh5k do42nbc 2t0fa/ftm and a charge of +3.2μC. Point A is used to describf52nk 1to 4ftbhc/a 20 u0tqdoe 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 by a distance r as shown.fksh5v11o j -h

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 +2h/vx y tej44w2v jhxwe 4/y4t2Q 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?