The work done on a beta-min5m0ljuj :x.p)z9b ()y m/mz)ayyqqepus particle when moving it from Y to X is found to be −10eV. Equmqxby5.)mp yu(p l 9):zj0 a/ejmqyz )ipotential 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 momzm.u zlmna70k1o u9 7z2wmzddu .:3f ved between two parallel plates separated by a distance of 5cm. The potential difference between the points is 50V3k7owm92uzn mmdz z0fz 1u7:amu..ld.
What is the average electric field E?

  Which of the following correctly lists the fundamental fw+1 8m7r gy5wqmpm l1i/u psa.orces in decreasing order of strengthr8p lqmwmsm1w.1 /7a 5g+i yup?

  A beam of electrons enters a unifoc(tfxvo4m s7 1rm 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, r vj)f,1a 4nqiu;(:d9lsqnggxepresented by theq1svnalfnx id;g :g4qj(9u,) arrows. Which of the paths shown would require the largest work to be done on the hydrogen nucleus?

  Two charges, separat 197g: mtiq ynnicv(5hed by a large distance, are shown below, along with the electr1iiqth mng5 :yc(7 9nvic 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 arw6cax0rwjgm);* 8 cd +.jvdpre located on the same horizon;jxvg )ard 0j*c+m8.pw6wdr ctal 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 uniformly distribu)lz.s45rky:jcz8q;z p x .s tgckfk()ted positive charge is bent into a quarter-circle. What is the direction of the electric fiel8s.k j 5kqxyg.tkzcf4p:zszrc) (l); d at point P?

  A non-conducting sphere with rbuq-btqg z 7.3adius R carries a uniformly distributed positive charge with charge per uni .bq3-tu gzqb7t 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 mi82y d+ 0 .gwbgk)graB. What may be represented g0bm8y.2)i w+gdgrakby 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 resq9) kkzr k0ozhn+/0 npresented by the equipotential lines shown bonnzk9/ q)hkks z0r0 +y the lines in the 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 4m)xq.jc;pft odu, ny: e5jk;electron assumed to be orbiting the nucleus in the first energy k,t5cx:; y.fqu o;dnj ejp)4m 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 shownn+zb kt+2qj9 onca (2;g(a emc in the diagram. Some of the electric field lines due to the charges are shown on the diagram. Pointst(ac2+;bqjc9z nka2( m og ne+ 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 gr qc2w3j)/f;ogf vgh2 sg 7ww) 2*mceonaphs 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*g)hgeo) 3gw2w 27cn soj2wvffm/q c; the center of the sphere.

  Which of the following is equivalent to the unit of electric potentip6*g)p rwv( f 8mrx,bgal difference?f pxrmb68gprw v(*,g )

  Two point charges of −4.0μC and 88.0μCkj1 -hg0at jp3 are separated by a distance r=2.0cm as shown in the dp-3jtgj 0 a1khiagram

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 potentiarg abgyi,b 28)l 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 and89u.3sidlp6gx rh n3k four points on equipotential lines are represented in the diagruinx9 3h8 r.6p gd3sklam 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 equipoten: h6uvteeo2dy.5 x2t2+ soglctial 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 qo2.a* xbdm7 cc0;dklcc6j/*sy:ca t/v ps,v are 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 permittivitgk3qk:p,i5tz 2qm8fknr2 :t2kx )ee zy ϵ. The ch zefz52 q,mke:x rn tp:2ik38t q2k)gkarges 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 the negma5 5uls.1ouvwmrmm-5 /ur .yative plate of two oppositely charged parallel plates placed a fixed distance apart. Themramr.y 15mlso - u/mw5.5uuv 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 obev3ef ny8wi +b80fz. kject with charge +e exert electrical and gravitational forces on one another. To the nearest order of magnitude, what mass must the object have to be nb0z 3 8ek.+fwve8 iyfso that the net force acting on it is zero?

  Equipotential lines representing the corresponding potentials are shown in thh i.eec7lr(g,yzr* 1le diagram, in an electic, .e7r(lg yl1r zh*eric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges elihz3hr(b7q8bv *0 5tq0ol s$q_1$​ 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 vertices8p 1va6qc) w9,uz br7ffu5hip of a rectangle. Which arrow represents the net electric field 7 ruc8zu)pv1hf q9bw fpi65,aat the center of the rectangle?

  Four identical negatively cy x4q 5*xsllpe+ z68hvharged objects move in an electric field along paths shown as arrows below. Equipotential lines for the field are shown. Initially, all four e szqv*5 6yx8h4xpll+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 and cqr.*q ;xazv1pk 5kn b6onnected to a battery of potential difference V as shown in the diagram. A var.65kbp x1 kqqn;*zproton 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 respectiv emz;-*+ ) myxll;eaeqely are placed 9cm apart. A third chargeml- meza;e+* yex;l) q 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 equipotes tagoy:1.p(: 4grx luntial 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 diagram, the size of the charges is small compared to the distav)rp. +.bikkl;v0im; -i krl lnce R. ; irlikm; l.ikpklv)b-v+r.0



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

  Estimate the speed of an al pph2vi2s9u c2ke9ogo 3g 4oi,pha particle that has accelerated from rest in a unifok29hog op 9,cpeigouv s232i4rm electric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the totalb5;55pqh 8xawn *msdc t,h5,bx. amni electric potential due to two point elect5ac;p*bsnmhn8,m . xx tqbd ,i5aw55hric 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 electric potential due to a point ce/ p tdqj*1(.o2 eaqprharge as a function the distance r from its cente(1j t*er.aqed/2ppq o r.

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 ofvn,kyl-zsuh,oxmu981 d 7 b3a +3.2μC. Point A is used to describe a location 20cm frh-kd7u3,yzu8,mxov s la 19nbom 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 ak,meq 0wn ir t2a8qi s;km95)j 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 lc. .-vmiyvpi o7;8exa square. Charges of +2Q and −Q, and unknown charges A and B are located as shown on the di xlm; ci7i .opvey-.8vagram.

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?