The work done on a beta-minup )j1xc;8 5g z+klz8dr yna8qss particle when moving it from Y to X is found to be −10eV. Equipotential lines are represented by the dashed lines in the diagram. k8nqd); z ra8pjgzx5c8y +ls1
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 :xzx r+jg66c,db(k /v itxz mwd4zk.. two parallel plates separated by a distance of 5cm. The potential difference between j w6vtm c4(zr xiz+ ,6dk:dgz k.xb.x/the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamental forcm m ok/7drl8lin6vb)ew/ + 8nnes in decreasing order of)l/ kem8lndr/ 7w8monn +bvi6 strength?

  A beam of electrons enters a uniform electric field, as shown.9uc*ocj3wp-r oc v8f3 ,nfyic9kwu*4



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 1+ l7obpp *(7 mqxnemvad y p/t7)btg/vertical electric field, represented by the arrows. Which of the paths shown would require thep1q y/(ebnxtma77blp)+d* 7g /mvpto largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distance,a r)l/g(tw-nue 5 yqj5 are shown below, along with the electric field li er(ult/n)jwa5q y g-5nes 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 magnituppgkc - :8fzkj2c6/aode are located on the same horizontal line.o-k fp8/kcp6 ga2: zcj

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

  A plastic rod carrying a uni l2reoxqqj0;,pre h-5formly distributed positive charge is bent into a quarter-circle. What is the direction of the electric fp e, r;r qo0hx-qe25ljield at point P?

  A non-conducting sphere wi+k6 lybq4djg5 th radius R carries a uniformly distributed positive charge with charge per unit volume ρ.Point P is at a distance r from the center of the sphereg6y bk5qdj+ 4l.


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 A0+ .gsj1gklep142 3jie mlvak and B. What may be represented by Aej34v a11eg skm+ .ik2l0plg j 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 fi2;c ukz h m/me3df1is4eld represented by the equipotential lines shown by the lines in the diagram. The elmuc2 4;emz3/shfkd i1ectron’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 th03 m12 slbagso be orbiting the nucleus in the first enes lb3has21 g0mrgy 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 ap zn9xyaq -/,qnd Q are located as shown in the diagram. Some of the electric field lines due to the charges are shown on the diagram. Points P and S are two points as9paq-y/ q,zx n 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 thg,p / k1f)syvmp/0(btwiai f+e electric field and the epm,/y01 fw)if/tgba ( kpis+ vlectric potential 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 potedx 9 6k5nrg5lkq wdt 8m.23pmhntial differencem5 x5k2869.tl n hqkpdd 3gwmr?

  Two point charges of −4.0μC and 88.0μC are separated by a distance r=2.0cm asiq:r4v,cqthj( 3 nfm/o+fq i2 shown in the (:t, /f n42viqioh3mfqcj+qrdiagram

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 energy05r,+9i j34y waycdai yr-u xy.
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 pointp;lig- cmtb5 +s on equipotential lines are represented in th+- l;img5pbtce diagram 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 two c59i5us+or g lt v6.bydharges.

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 fixed dis62m/8 f8idtl x.ay wgltance.

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 mediuqvt :iy6w15tem with permittivity ϵ. The charges are then mo1tey5 qv:t wi6ved 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 twojnj z4 o +4iee)n.efe+ oppositely charged parallel plates placed a fixed distance apart. The potential difference between the two plates is V, and the electron reaches the positive plate with a speed+ei. n jez+4oe e)nj4f 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 grasjyn rk5jq/-qsn5m. ( iv4w -bvitational forces on one another. To the nearest order of magnitude, what mass must the object have to be so that the net force act-jmj nv/4ysqw5ni r q5s-.b(king on it is zero?

  Equipotential lines representing the corresponding potentials are g9b9tyhg,* w tshown in the diagram, in an elecb,*ywhg tt9 g9tric field.
Which of the following is a correct statement regarding this electric field?

  Two positive chargesek(ew) ;-2lqecgrpeee61 pxs,sl 5+u $q_1$​ 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 v9/ x n4zih 3.awxds.fvertices of a rectangle. Which arrow represents the net electrixx. 3 fnh .i/wadsz9v4c field at the center of the rectangle?

  Four identical negatively charged objects move in an electric field along paths+zgivfuen0.:rj 4 zb . shown as rzub0 j+v 4.ni:efg .zarrows below. 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 d and connected to a battery oc xv(6rkimkkvh; .2:z/ bt.qof potential difference V as shown in the diagram. A proton released from tt .h2:rkc.b vk qk6;v(ixzm/ohe 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 8Cr 4qc-uj3w*ccwpy6gq7d- 8n x respectively are placed 9cm apart. A third charge is introdr ccq7dxwj34 w*p6-g -q8cnyuuced 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 equink o* marm3x6jx mh*k.y+t:;opotential 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 dy; ts-c8+ni+x e+jlg:;wnw tz istan+;g-x i ylzwc+nn t8sej+wt;:ce 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 rest in d 53r6zn 6 xaz/mncx7ga uniform electric fieln3n656 ag xrz xcdmz/7d E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the pew/ .x mki*,h)j vxzfa74gn /xey 2i+variation of the total electric potential due to two point el)x*f74 n/2gm,vk jwxh +ezi ./payiex ectric 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 tb*ghg7 -nu an:he electric potential due to a point charge as a function the ag7gu nn*-b:hdistance 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 woa)df- m0 0k 6ca(winradius of 20cm and a charge of +3.2μC. Point A is used to describe a location 20cm from the surfaceacd0owi- (nfka wm60) 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 ii7c3 ntml6 n; adx49r;u4,mzrhn88u2ziwwdshown.

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 bac gg5*sv1ro/t-+dzthe corners of a square. Charges of +2Q and1cs +t-a zgor*bv 5dg/ −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?