The work done on a beta-minus particle when movau,qq- /lb8dm ing it from Y to X is found to be −10eV. Equipotentia8b-uqd,l q /mal lines 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 separated by a omr; bim-* nl;distance of 5cm. The potential difference between the poinb-;* or;n milmts is 50V.
What is the average electric field E?

  Which of the following correctlijzyftxnb 0 94jq7(hf3l s:-w y lists the fundamental forces in decreasing order of stref0s7i b j zjwt- x9nqh(4:lfy3ngth?

  A beam of electrons enters a uniform electric field, a,obosp8 auf ry 4rz728s shown.



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

  A hydrogen nucleus is held stati helwdi5fy 6krk/-sz7ll9n 4) onary in a uniform vertical electric field, represented by the arrows. Whicnfz694i 5hkdy/lkl elr w-)7sh of the paths shown would require the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distance, are shown below, along f:so.e2o c3jx with the electric o.xe3 s2cjfo:field 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 y(. zlqgr/m 3i(*8kltd n;b awon the same horizontal lineg *zr(ydtw ll3mn ;a/iqb(8.k .

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 bent into a q4f(su( aa n2i6 ;yu*rm)gjfcduarter-circle. What4fc2 ;u((af6igsuamny rd *j) is the direction of the electric field at point P?

  A non-conducting sphere with radius R carries a unifor v--e4.kq +aipb fl;mpmly distributed positive charge with charg -fplbi.-4k ;+meqapve 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 gtecd55cik/ 6j )qoo 5lines in a field due to A and B. What may be reprejoi5 ec65 / t5oqgkc)dsented 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 represented /tpe.k*-zt jm by the equipotential lines shown by the lines in the diagram. The electron’s path is shown by the dot pe*zt.tk j-m/ted 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 orbitinghe 7fad9w6po 3m j9xu+ the nucleus in the first energy level with a sx u9modp+af67eh 9jw3peed 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 j2lkyya.z8+a tse0-.(m yo tclocated as shown in the diagram. Some of the electric field lines 8zlms2kay+e0(yc j.-tt a. oy 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 and thxt 7-e/3w app1 5csilze electric pot/ 3t 7ipslz 1a-pxecw5ential due to a hollow 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 potential differen*x4qms ,9f,o;dbaj rhce?fqh x 9dbar*4;mo ,s,j

  Two point charges of −4.0μC and 88.0μC are sepaz-mv2 roo-6nf 0w,xu mrated by a distance r=2.0cm as shown in the diagram6m o,xo-f nuw0m2zr-v

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; d ,*ndnylv qi5)vfb 3(o7ood 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 lines are represented in +k sy3ipe1r5v:0,dw 0rb7cw.xhoxo z the diagram 3sp1k0o0hr o xw 7+r,:vx.ie5bzw cy dshown.
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. 2yf( 7oor big c1km;- w04 /1lyqlzfiw

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 fixedjl .)i: jef u(nfml(r; 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 pe(xi0ii(9)f3mgxuo 7ci s* nhyrmittivity ϵ. The charges are theyiu0xn9 m)is( (xigo ich7f *3n 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 charged pah pp8ip220*9 patv mfs( fdc;nrallel plates placed a fixed distance apart. The potential difference between the two plates is V, and the electron hm0(s 2ff*pi8pt;np a9v d2 cpreaches 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 gravitational foxgxd e*1d5y1-ss:kuyrces on ou1 gd*xy-s:e ys1k5dxne 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 representini4n0udj wr;yzbj 3 )v; 62tisng the corresponding potentials are shown in the dia)v idu;r06iynb24t j;sz w3nj gram, in an electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges5o0/r5aimohhqb xl/h+v m( kqh2 9o3 w $q_1$​ 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 rectangle. Which arrit /jc t309;vc,bni*hzgt 8zxow represents the net electricci,8cng; th/b9z 3 *t0vxtizj field at the center of the rectangle?

  Four identical negatively charged objects move in an electric fi bayq-a-4 kad-jk1fj8eld along paths shown as arrows below. Equipotential lines for the field are shown. Initially, all four objects qyk- d jb1- aaj48ak-fhave 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 battery or/ ,oltw (q tab27acz:f potential difference V as shown in the diagram. A pr7baor/tl c2,w(:qat zoton released from 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 ao s(;hnh2rnx ;s 4w)4u(exggnre placed 9cm apart. A third charge is introducen )4;uwe ( os4gs2h hx;nnrg(xd 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 pointqcsy9la,m ihpd: hxl :.4x6 o7 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 sibc/1y2nqg 4qw pp m2bj.tbm5se9+ yv8ze of the charges is small compared to the distancbb15n 9.2pmq sc2+p eygv /8wbq4mjyte R.



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

  Estimate the speed of an alpha particle that has accelecxm ww*z l2j00yas1gjy/3a o4rated from rest in a uniform electric field E=c/y1 yj azw23 xjm as0wg04*ol50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the353rx h 3aa7me4cn djf total electric potential due to two point electric char3r5d7 jnmfc3 hax 4a3eges $q_1$​ 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 chamx2 bcniaqzf8+13pv ;eg: r 3sq.* unkrge as a function the disax nq+s3;: cz * q.2bu138vp rigmfknetance 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 and5ues z.g,4ka g4uqmp5 a charge of +3.2μC. Point A is used to describe a location 20cm from the surface of the spheap,uqzm. guk4se554 g re.

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 showno * pp3 p;-ipf;te7igm.

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 asakzd9 v :45rp8b 6rr.o ik1xln shown on the corners of a square. Charges of +2Q and −Q, and unknown charges A and B 4d:bv . akponrli9r6zx8r1k 5are 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?