The work done on a beta-minus particle when moving it from Y to X*(kxcgx kdf 8yr. o(2x is found to be −10eV. Equipotential lines are represented by the dashed lines in the dia x8(* ck y2g.fxokx(rdgram.
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: e blbs)+e 4j(*mhfzk- c)bf:6jwglv two parallel plates separated by a distance of 5b4lfjcf:g6wk:hvmsej-+ (ble z) )b * cm. The potential difference between the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fun1g3g (vjb8t ur5d-wg5yj2 zl(e eua .ydamental forces in decreasing order of strengthbzugvy5t gr-. ud(w(8eje3lj5gay 12?

  A beam of electrons enters a uniform electric nj: d9/fwq w spg4*7yffield, 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, kbnmr +f,3gh(represen grf+(hn,mb3 kted by the arrows. 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 shown below, along with thr3jlo2d; p7 9oo;wdmye electric field lim ddrjp; 9 lwo3;2ooy7nes 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 are located on the sameminr5pb :j*y) q s ) s6gv6s-d pqdxx/k+gy7w( horizontal line.q(ywd7y6xg5gp n-mksj:)/+ vrips6q*bs) dx

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

  A plastic rod carrying arwor e ;v/t zft1yb),cs0(l3z uniformly distributed positive charge is bent into a quarter-circle. What is theec/zbs)w30to l vt1r,;(yfzr direction of the electric field at point P?

  A non-conducting sphere with radius R f. ;6w (e+2tygenhjbt carries a uniformly distributed positive charge with charge per unit volume ρ.Point P is at a distance r fn; e(ytth e +26jg.bwfrom 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 equipotenj liw(tc.kv ,k;13,ngmdxi( z tial lines in a field due to A and B. What may be re,i(1 lim. xkzvwgc nj(d ;k3,tpresented 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 ag lxc6wz1:o4ukqa4w bq6d0+field represented by the equipotential lines shown by the lines in the diagram. The electro 1xg a6k ac4wuow04lq +6:bqdzn’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 as gi.64xv1zynm6pz f4x sumed to be orbiting the nucleus in the first energy614 z6.p4zgy xxnmvf i 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;winf hvl;r21 2Q and Q are located as shown in the diagram. Some of the electric field lines dueh2i1lr; fn w;v 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 field and p +mvmegu6c30 the electric potential due to a hollow conducting sphere vary with 6vucm3+p0mg edistance 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 potential d /jerjgcz 03x*ifferenceergj0xcz/ *3j ?

  Two point charges of −4.0μC and 88.0μC are seis* 3q8rhwp +pparated by a distance r=2.0cm as shown in the dpwqri ps8*3+ hiagram

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 s ,l 06sk4q9wl+ewvo denergy.
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 eqj x8n .kddi6l xoay2)lq2c3:h qbf75luipotential lines are represented in the dia.: l2 2l lixckhyondaxdb5)q3q j687fgram 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 ef*,-tj. xyz5ksjs 3dhquipotential 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 20na+0 v40wygc uyce;vr9C 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 r2voce7s( z gq ev7i2)are placed in a medium with permittivity ϵ. The charges are then moved to air so tcgr2vv2o( )es izq77ehat 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 paral f6w/sukg0r bnb r2both)i5) 9lel plates placed a fixed distance apart. The pote5bgw6)fbr /9n) sitor2u0 hk bntial 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 objsr6a mo+t3u 0vu:kaz:ect 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 so that the net force actavzk6r3+:sm:ao u0 uting on it is zero?

  Equipotential lines representing tzfzm a*5o8l p1he corresponding potentials are shown in the diagram, in an electric fzl pm1 a*ozf58ield.
Which of the following is a correct statement regarding this electric field?

  Two positive chargeskabh 2ev2q1x4 $q_1$​ 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 p. e 7i0en,ronyarticles are at the vertices of a rectangle. Which arrow representoe .ir ye0,n7ns the net electric field at the center of the rectangle?

  Four identical negatively charged objeco -0 z8uwn)6rlz9+nquamd b6pts move in an electric field along paths shown as arrows below. Equipotential lines for the field are shown. Initially, allqu d) np0 zzw8 un6bm9-aro6+l 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 dist ,z-y//dfzc*yw p* hqqance d and connected to a battery of potential difference V as showqy-zzq/cd* hy wp/,*fn in the diagram. A 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 magnitude 29+z9uyav1 ihf x 2cr.bC and 8C respectively are placed 9cm apart. A third charge is introduced bet2 vy faz9h+ir1.ub x9cween 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 ezzyjhbh8:2z3 ,gtud.7n :i i 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 thetf 51e6 s.pdxobt.op 9cw4g4s charges is small compared to the distance R.gsoptt6df sb5 e.41o4x.pc 9 w



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

  Estimate the speed of an alpha particle that has accelerat7;8flcbg-f /a h6t3w7zsvj ky ed from rest in a uniformc sj h;afv k-gy/tzw7 37b6lf8 electric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric pu+c o+pu1 1 hszs+acd7sz:n j5otential due to two point electric charhzsao c5j++sudp+sn1c :z1 u7 ges $q_1$​ 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 vo8 6es4 *n3mvkk4u)gid1h 6tq4r hrwpariation of the electric potential due to a point charge as a function the distance r from it4 p4vkrmoh3hd1unie64w8tq ksg*6 r)s 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 +3.2μC. Point A iz:d aozfmlo*+t 7 +m:gs used to describe a locatiolmzdfz:g* :aom+ +7ton 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 separatezf(g4g bb( a0n qt+x1vd 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. Charges;ahx0g ocfu qu;422/j hj, pzc of +2Q and −Q, and unknown charges A and B are located as shown on the diagramf0 4;o uaxp2uq;g/,jhch c j2z.

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?