The work done on a beta-minus particle when moving it from Y to X is found to sgg d wt3nru,r2,wkgp*)y+0v be −10eV. Equipotential lines are represented by thes3ggvr+0typwu2d *nw ,gr) , k 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 +n/an+dxi/ne plates separated by a distance of 5cm. The potentian/e+x/i dn a+nl difference between the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamental forces in3ja-kn y fl-j- decreasing order of strengthj3fn-a-yk-j l ?

  A beam of electrons enr.;m)s: 1 ol/dj-qti (ic qs6qe2 kycwters a uniform 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 electriclxn,fk+3rkja / d+ w ajs0m88u field, represented by the aarnkwfs a 3j+k+8 /,0ul8xjdmrrows. Which of the paths shown would require the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distance, are shown6k/7ms24n0xq9bkes np f ly0p below, along with the electric field lines around eachfe kxy 0 9q2n0 k7p/sp4l6snmb 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 on the same horql2f7 fjgn.uirkw -,*izlfnu- *q fwgj2.rk,7iontal 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 unifm (a-nu/-hedgormly distributed positive charge is bent into a quarter-circle. What is t ham-ue(-ng d/he direction of the electric field at point P?

  A non-conducting sphere with radius R carries a uniformly distributedao )uqx/y; v3d positive charge with charge per unit volume ρ.Point P is at a distance r from the center of the spa/yd;v3ou xq)here.


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 equ f)ms woz00yq7 fw-r-eipotential lines in a field due to A and B. What may be represq)-e zs-wrwf0 yof0m7ented 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 ew* .-ik6u q e.y lb)d6rzgzg7electric field represented by the equipotential lines shown by the lines in the diagram. The electr7y*6g6z qerw-. deb )zg ilu.kon’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 a+ bho a;xe 6:zbl5-luwn electron assumed to be orbiting the nucleus in the fir - z+ebuloa5hw6:lx ;bst energy 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 lorx9v /3*ap-hr kbxxj6 l.4b62sszbz lcated as shown in the diagram. Some of the electric field lines due to the charges are shown on the diagram. v3 sralbb/ *k zxxsl6p.b -2r46x 9zhjPoints 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 graphlf9km1 u jknr*t9t n5:s represents how the electric field and the electric poteuk:199*f mjkrntln5tntial 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 pou4j lwqn6:. 3r rfgx3p u1j:dstential differenceul1 qr 3wdg.4rus3jxf :n:pj6?

  Two point charges of −4.0μC and 88.0μCal4puiogq . r85a c5(d are separated by a distance r=2.0cm as shown in the diagrdq(opa.5a854i gl c ruam

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(eae e+(thqm) *uqz;8l*dnch ergy.
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 fouv 1 k8)hwl8 hv8jzt zwep0m6+rr points on equipotential lines are represented in the diag vh8j16r8zvzk0hl+ 8)tm ewpwram 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 surfu- y-n h/tu/qfaces 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 are heldk/fk0* mgi-8f opqr6nl,/g wu 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 permittivifsm4 +vcp2j6io9 j pbgk j0n4-ty ϵ. The charges are then moved to air so that they have the same force between them as that sf 9bpvnm+p0 4j-c6 io4jg2kjin the medium.
What is the distance between the charges in air, knowing that $ϵ$=$ϵ_r$​$ϵ_0$​?

  An electron is released from the negat* fqf +-a8ehmtive plate of two oppositely charged parallel plates plafm8eqt*h+ af- ced 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 elew ,i5.a (ph8myujqn ,vctrical and gravitational forces on one another. To th ,5hjn (.i,pv wu8ayqme nearest order of magnitude, what mass must the object have to be so that the net force acting on it is zero?

  Equipotential lines representing the corresipwes.h je5e9g0 -)8 bn/lhc l(0hsysponding potentials are shown in the diagram, in an electryenb-5 e9ei gj hhpl()s80s.h/sw lc0ic field.
Which of the following is a correct statement regarding this electric field?

  Two positive chargesq* w718a97 5y haerhlkgo -fxl $q_1$​ 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 ux92 fynphqy; g89d(xrectangle. Which arrow represents the net p g2xqh9uy fy 9n(;dx8electric field at the center of the rectangle?

  Four identical negatively charged objec*lr8nyk .ur v;3vbzm. ts move in an electric field along paths shown as arrows below. Equrvnl yv8;bkrm. u3z* .ipotential 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 ar4yi / 5ryax07u :yquhge separated 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 speed v when it reaches the opposite pla4 a/hg75uyx uyyqri0: te.
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 fo wk1 ycedud5/-qt35are placed 9cm apart. A third chy w5u3qk5 -ef/co1ddtarge 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 equi 0j8butqx 8:cfzvf8y/m :z+ qgpotential 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, taqf x7v2sd/- *jj,qkf he size of the charges is small compared to the distanc asf*f,-q7kd 2jx/j qve R.



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

  Estimate the speed of an alpha particle that has accelera: 1i*hj pfcv/( qqqrawwri38umm 6- ;zik/ 7phted from rest in a uniform electric fipii(;1zrw vwhfmc :h*-/rpuj83q7 /q a6q ikmeld E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of thd596n6g x dpr quve.:re total electric potential due to two point elect dr:vex rpdg6 9q.65unric 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 var ,y4z9j)6xoncriqb tai;,x v bn30n6tiation of the electric potential due to a point charge as nq)6tinit0xny bc;bzxa,3o r v,49 j6 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 radius of 20cm and a charge of +*tlz( kkg5 5sk3.2μC. Point A is used to descrl*zskt( gk55 kibe 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;6n fd :c0eppr 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 placil48+qghq/c ,3ye8 lv tjyw0 ted as shown on the corners of a square. Charges of +2Q and −Q, and unknown chargeyyht, il wltcv+4q03 q8 /jeg8s 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?