The work done on a beta-minus particle when moving it from5fpw;cd )w9y w Y to X is found to be cw5d)w py fw;9−10eV. Equipotential 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 distance of 53wj/ 5buly d+ccm. The potential difference between the points is 50V. dcylj/53 wbu+
What is the average electric field E?

  Which of the following correctly lists the fundamental forces in decreasing ordej ;mrh c0a e .e)w,gvlr.dl*1rr of strengrwvgm ah ) 0;, ejel*1rc.dlr.th?

  A beam of electrons enters a uniform electric f,+ d eulgofy(h2b9 ry )zg22.fca g*xqsm8g 1aield, as shown.



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

  A hydrogen nucleus is held stationary 97orr bhc1)mwkpf5s. in a uniform vertical electric field, represented by the arrows. Which of the paths shownr719rks)fbmho wpc5. would require the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distance, are shown below, along with the eojm q.l1557 ly 6dzlqrlectric fiej5yl r.d6l 5m 1zl7qqold 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 chd0 y, gn+pw.lparge of equal magnitude are located on the same horizontal line. dgpy,pwn0.l+

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 1v77 wtnyups*l3;7gt bwmu ; pinto a quarter-circle. What t* 1 n7g;;pbts7 w37luywvpmuis the direction of the electric field at point P?

  A non-conducting sphere with radius R carries a uniformly distributehyzh npdpw /3p 83ud58f0y:s bd positive charge with charge per unit volume ρ.Point P is at u5pf0yyh d/ h:bnpw 8d3sp8z 3a 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 fielhe 3 bfop ()t3p vc*k: u04ygktmkwr2:d due to A and B. What may bef b*hpyo e0w u 433kk(2)vpckrg t:tm: represented 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 electri5j* kn: -chfn ssr8-isc field represented by the equipotential lines shown by th:sh s5jnkisc- 8fr*n-e 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 electron assumed to bz3t5ck.67bgsoyu- qk8mllg +e orbiting the nucleus in the first energy level with a speed of c 68zo+b kg5 syl7k3-m.gl utq $2.18\times10^6ms^{-1}$
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. Some of the es exz(fq( g-h2 ibpz-0lectric field lines dueg q2p(xzhe0--f(s zib 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 f3)575holkh7m *jemiuqgjylnsma 0f0; hz,4 field and the electric potential due tq5 jhlg50f ze3) y74l 7m,umosj;0fh *h mkaino 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 equivg ,6nhj1 x *y 56k+wmhyegmdg.alent to the unit of electric potential differencwxkjy 6.dgey5, ghh g1m+n6m*e?

  Two point charges of −4.0μC and 88.0μC are separ/f5 *ec )jyn+uygms-p-3dldlated by a distance r=2.0cm as sho/dm5cu*sn-y ) gyfp3e-+ll djwn in the 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 en s52b0y r gm:y3wz5sy s3xumt4ergy.
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 anpy83fm3; 7h.pgc lkxw d four points on equipotential lines are represented in the gxfp .8yh mw3pkc7l;3 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 equipotent1 oz+0h,kf srj7-n u tod05tqzial 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 of8n 1hev)9ovpax:l ,+u y2a ibm 20nC 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 placel2q4e3sbwu.vw s3- ivpjo) e 3d in a medium with permittivity ϵ. The charges are then moved to air so that they have the same force between them as thatbj4q.esewv3 -)ol3 2wi3vpsu 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 2 za4fm9 -njrb 0mgcc/negative plate of two oppositely charged parallel plates placed a fixed distancng94mbaz/cfcr -0jm 2e 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 eleustve0 44vj2 3uxld6 owo*5onctrical and gravitational forces on one another. To the nearest order of magnitude, what mass must5x32v4w u*te 6o0oulvnsd 4oj the object have to be so that the net force acting on it is zero?

  Equipotential lines representing the corresponding potentials are sh*q;;-su flucc own in the diagram, in an electric fie; -uu;*q slfccld.
Which of the following is a correct statement regarding this electric field?

  Two positive charges v0i lvies.towf,re (+li*v)) $q_1$​ 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 rect)f - 2(e :aixe01gzc d6fjwhfwangle. Which arrow represents the net electric field at the center of the:fg wdi-a6chf)2 we ex 1(fz0j rectangle?

  Four identical negatively charged objects move uo:gct x19,jpu0mrjxe.qr z.-og p- 3 6+ypyvin an electric field along paths shown as arrows below. Equipotential lines for the field are shown. Initially, all four objects have the sr0-+1jopr ej.m,ugqy g6-upy9t pxzo:xc v 3. ame 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 :c;p( b-dicno to a battery of potential difference V as shown in the diagram. A ;cnpo:i dbc-(proton 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 may*m(bve iz4ik 13c3fvgnitude 2C and 8C respectively are placed 9cm apart. A third cha*(z3 v3ie vfk yi4bm1crge 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 poi4fk7ab6li4s 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 compared to the dicdyysk/u )v.wv;zm)( 3 n *yv*pkgst+stancyusvv(/y 3+k .n s;g*)m)ky zcp dv*twe R.



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

  Estimate the speed of an. l2 zr gce:py2gh)9it alpha particle that has accelerated from rest in a uniform electric field E=50 pt)rg:9h2ye 2 .lzigc $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric po xx .xkf0n;/lgj jb7uo:hqvan(k:+5vtential due to two point electric chan+.5v(un0q/fj 7x jlb axh v:gx;k k:orges $q_1$​ 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 gw +)d0k,5wu:eyze f rdue to a point charge as a f:uw0rywz gde )+,5 efkunction 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 radius of w8uu mxe f3k)z rs1yznc:lh/ 7 8d2d(x20cm and a charge of +3.2μC. Point A is used to describe a location 20cmu2dz81:z hke(/ 38wnd7fm)rs ly cxxu 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 separatee f7v7-k0gc+d 3 njql r3,gnejd by 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 square.yz6 5fes4pp/v Charges of +2Q and −Q, and unknown chargespesf5p z4v /y6 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?