The work done on a beta-minus pbvj0le9j w;da. ( 6t(obn*o (zjex ;fuarticle when moving it from Y to X is found to be −10eV. Equipotential lines are represented by the dfbz*oa(lwv.j;b9 t(;e do e(n x0juj 6ashed 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 distance qh u40*ut gf p.2jgacs1u3ld 3of 5cm. Thequ apstjhu2 gug.d130 c4*3lf potential difference between the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundaqa5 /6rnez45jth oz)imental forces in decreasing order of stre i6a)5 ze/q45njotz rhngth?

  A beam of electrons enters a ufm5t x-6(hr sj1um z4hniform 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 uniform vertical electric field, r74e+fl(hag n*(2nlhve bx k :uepresented by the arrows. Which of the paths shown would require the largest work to be done on the:fh4ngk *hnv(bex( +7l2al eu hydrogen nucleus?

  Two charges, separated by a large distance, are shown below, along with the elec,0lq y9erw6 natr 0eq6wa9n,y rlic 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 charg y,q6enhe ;mdq+h;;wbqf27e ye of equal magnitude are located on the same horizhe2yedq,y7;wme; h fbq6n;+ qontal line.

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

  A plastic rod carrying ama mi* ql9uo+d04e7u q uniformly distributed positive charge is bent into a quarter-circle. What is the di4qeumq 7 0+9dlmoa *uirection of the electric field at point P?

  A non-conducting sphere with radius R carries a uniformly distrib/y48 jos nb2n tif1ya:uted positive charge with charge per unit volume ρ.Point P is at a distance r from the center of the sphere. 42b:fji /ya1 nosn8y t


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 thbv lwerw z5;*9e equipotential lines in a field due to A and B. What may be repres *lwer 5;9vbwzented 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 u5t 03uhaq(.mzjtz2iup 1s+ield represented by the equipotential lines shown by the lines in the diagram. The electron’s path is shown by the dottedu(m0t.asq u3zt1i+piz5 hu 2 j 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 electron5ii*in8bjx: -s dkz m( assumed to be orbiting the nucleus in the first en i5im k-sbdjz:i(8* xnergy 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 dqzfqlrifr -5:0( b2 fmcj r45xiagram. Some of the electric field lines due to the charges are shown on the diagram. Points P and S are two points asr0l- jfxq54f(f z mr :irc5bq2 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 theb +(yglz zzq)u/08sl+s; fzn diqpxwb )(5r0v electric field and the electric potential due to a hollow conducting sphere vary with distance from the center? The ol/x8zdgsq+vbn( ) sqfuy z;p5l z iwrz0+0b) (rigin of the graph represents the center of the sphere.

  Which of the following is equivalent to the unit of electric potx33dcj* wx xepnhy; ,+ential differencwyx xjx3*n +;,hc ep3de?

  Two point charges of −4.0μC and 88.0μC are semq3+s bj 1da4um13zfaparated by a distance r=2.0cm as shown in u f4jma 3 qmz31bad1+sthe 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 potential energyn l9vg 9e l4pnl773ai-da/ 3,lk owdfk.
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 represenam: *sf0 3nb5d urws*r1ntw .yted in the diagram shown0sn wbs1 urynaf*.3*mwd: 5tr.
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 5 eg4 6yqp5iutcharges.

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 amm d, 8i+ska,r)x4ky hre held at 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 placed in a medium with permittivityz)h+qsoe9iot9c fd5 3 ϵ. The charges are then moved z th)ds9qoc39ife 5o+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 parrx:xxxpcvb9 4zpl (: +allel plates plac(xvppc4xb:l +9z :rxxed 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 gryr9ii+8mlg 1e+ 3yd kyavitational forces on one another. To the nearest order of magnitude, what mass must the i+ 1 rli3gedy+8yyk9mobject have to be so that the net force acting on it is zero?

  Equipotential lines m4xzee+qa 7 khay zj14w,y3.brepresenting the corresponding potentials are shown in the diagram, in an electric fi.3yhxqk+b m1 4yaa ew7zz4e,j eld.
Which of the following is a correct statement regarding this electric field?

  Two positive charges 6jb (ahd--mke$q_1$​ 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 arefnne5 (go,o.l at the vertices of a rectangle. Which arrow represents the net electric fiefe., 5l onngo(ld at the center of the rectangle?

  Four identical negatively chgz 5kl i s(xf.21x;ys, 4o n1i/kcifntarged objects move in an electric field along paths shown as arrows below. Equipotential lines for the field are shown 42gi1,zt ioylsx1i nxn s; f5(.k/cfk. 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 separatn 8endxek 1nq45d qk9b-* 5eated by 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 - 1ba59*dn8 knee x4n tk5deqqspeed 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 2 )ln),+;ldgcer - uycaC and 8C respectively are placed 9cm apart. A thirdd-,l)n)rgcu ;y cle +a charge 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 point cha d1z01ethk.xa( vno,b qx( ng0rge.
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 sij dmcf+jd dz9,w7s cea4, l6:cze of the charges is small compared to the distanjl :cc7 ma6 ,+czfd, swed4jd9ce R.



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

  Estimate the speed of an alpha particle that has accelerated from r ck 5vh ,7tzynzynm)xq3v4(d 5est in a uniform e)yv y q74zn5n3dtkm ,x hcv(5zlectric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potennjo wz nb58bmb:347petial due to two point electric charge5nn 4m3z pbow78jebb:s $q_1$​ 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 char3i5 x ;htmzl,vge astz5x,vimlh; 3 a function 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 scfy0m f5 m5l:radius of 20cm and a charge of +3.2μC. Point A is used to dely sc055m:m ffscribe 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 i za;y2q:yi7n r e9pus7u(v2 dby 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 placed as shown on the corners of a squarhkg5y rycj1 ,8e. Charges of +2Q and −Q, and unknown charges A and B are located ac8g kyhr,j51y s 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?