The work done on a beta-minus particle when moving it from Y to X is found e:)1jqxc,or r, siy fk :pgf+hv(*pz,to be −10eV. Equipotential lincs, qrjv ,:kffi:1(+pope, *)xhzy gres 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 parallelau;e(/ mf d, yumo2a v.2rr0hr plates separated by a distance of 5cm. The potential difference betweer/v rr0(uuh.y o; dema2fm2a,n the points is 50V.
What is the average electric field E?

  Which of the following correctly lists t4o7y (k5spcorlx9vc 3 he fundamental forces in decreasing ordeo 9svkcx3 75r cp4lyo(r of strength?

  A beam of electrons enters a uniform electric fiij7op h:z( h2keld, 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 + r6s;0*3xx atrrmitruniform vertical electric field, represented by the arrows. Which of the paths shown would require the largest work to be done on the hydrogen nucleus?r0tamr; xs3i *6rt+xr

  Two charges, separated by a large distance, are shown below,9yvr6b iou7p5e81ot 2 vp1rrx along with the electric field lines around ea7ep86 ov1r2x p5b1u9tvroir y ch 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 horl4*gfzgt d2t7r(9 yxkizontal lin2kx *fgt49d r(7 tgylze.

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 distri/h h,tq;cgzked7*g xq;*o +hx buted positive charge is bent into a quarter-circle. Wh kgd;* g eh,x ;qtqc7xh*oz+/hat is the direction of the electric field at point P?

  A non-conducting sphere with radius R carriej,9wmjc :rjpq)z,ra 5 s a uniformly distributed positive charge with charge per unit volume ρ.Point P is at a dista9jr,q p, mja5w rc)jz:nce r from the center of the sphere.


The electric field outside this sphere is given by $E_{out}$ = $\frac{\rho R^3}{3{ϵ}_0{r}^2}$
While the electric field inside the sphere is given by $E_{in}$ = $\frac{\rho r}{3{ϵ}_0}$
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 =    $\times {10}^{-}3C{m}^{-3}$
2.Determine the electric field at point P, when =r=3cm. E =    $\times {10}^{5}N{C}^{-1}$
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 Aj,whjgc6b u( rr(:d,n and B. What may be represented by A ((rjw n :u,hcb ,g6drjand 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 reprt(+sdun nucg-j-b q2 -:rurb3esented by the equipotential lines shown byu u-r(qj-cu nbtn2 g:+rd3bs- 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 electron a zr)ial c6*nw7hap-)yb/;ht /x:qpcp ssumed to be orbiting the nucleus in the first energy :aq yp c/xh7i/la )6cz;w*- )phbprn tlevel with a speed of  $2.18\times {10}^{6}m{s}^{-1}$
The orbital radius of the ground state, in m, is given by
$r=(0.53\times {10}^{-10})n^2$
Where
$n$ = order of the energy level.
1.Determine the charge of the nucleus. q =    $\times {10}^{-19}$C
2.(1)The electron moves to the second energy level where it orbits with a kinetic energy of $5.44\times {10}^{-19}J$.
(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 diagrqytxct0 *m9bz1 /prnf(l*/tl2qeeo9 am. Some of the electric field lines due to the charges are shown on the diagram. Points P and S are two point1*9loxl2q/(pr/ ft b n* q etezc90ymts 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 3.2e6503x zf bew3udxvpkwll1l0tlq i v1kr 0electric field and the electric potential due to a hollow conducting sphere vary with distance from the c pkiw0qkel0xld31 lu1w 6 ze30b5vxl.3t fv 2renter? The origin of the graph represents the center of the sphere.

  Which of the following is equivalent to the unit of electric potentiaoa/fs x,(7.;zo7 *( cgfcf).brqiuf swql.qhl difference* w(ifqos7oq . ;lz(qbsxa,.fcfcu7) g.h r f/?

  Two point charges of −4.0μC and 88.0μC are separated by a distan9 r cf4pl*pu/rce r=2.0cm as shown in 9 pl4frrc/p*uthe 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 enet 2r1lm (9agx+kcjg5p-iq hc,rgy.
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 equipotendz 2co o-/bx+utial lines are represented in the diagram showou o z-+2dcxb/n.
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 nz*1) 0tctv pocharges.

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 disa +nevjkt.: el8b, d/,xnk p8lrt7a 5jtance.

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 ,s oh-c bx0kp8o3xv0emedium with permittivity ϵ. The charges are the-,xkp b8cs3 hv ox00oen 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 ;4l ejo zi v.79kxws,cb)rywc hpjf;v,8: a;ifrom the negative plate of two oppositely charged parallel plates placed a fixed distance apart. The potentie jfy pv;wj7i cav4,9;l:c zi .8xk;) bhwr,soal 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 electrical and graviadjdx9(y b7yl.8 lvh8tational forces on one hlljd87.vy da98(x b yanother. To the 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 correspl*9 p* 433cpbbqa na,0rdijuoonding potentials are shown in the diagram, in an electric j l*po0n3udbcrq 4 *93ab,aipfield.
Which of the following is a correct statement regarding this electric field?

  Two positive charges k3bb/ ajpaby+ t8y4 h3-c7gjv$q_1$​ 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 par9e;kkk2m7q m yticles are at the vertices of a rectangle. Which arrow represents the net electric field at the center of the7m mkyk2; kqe9 rectangle?

  Four identical negatbcz6(hd,z vb 5ively charged objects move in an electric field along paths shown as arrows below. Eqvz,z(cbd5b6 h uipotential 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 ,sx 6l0o i9blka battery of potential dibx l,li0k s69ofference V as shown 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 2C and 8C respectivel(6 m7aad: fcgny are placed 9cm apart. A third chargamagcd( n: 76fe 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 equipo8yiv jbt+1.witential 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 ouis6 6ya pud- ,9yh:nyf the charges is small compared to the distance Ri,9yu-:pus hya6y6nd.



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 j thfdky7yx*s:5-wf6 8dfj9f in a uniform e-5 jd*6:7fk9syfh f8w fyd xtjlectric field E=50 ${}^{-1}$ over a distance of 2.0m.

  The graph shows the variation ofaey0 4+awbtrmvi ) .f 88m-8iqwmpx1h the total electric potential due to two point electric charges-.8i h fvpm8ty 8wa)ab+qme 4 mr1xwi0 $q_1$​ 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 poteg:)bud36i3)xm gfp 0d677cttvp xjvential due to a point charge as a function the distance r from its c:g3pt)j0bx)77m3x cg6vtep fdiu6 dventer.

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 is usebevk:0bh6lq(6sl 3.o 3r ugukd rvh3 lb6u3 qe6obg.uk(k:sl 0 to describe 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=    $\times {10}^{5}v$
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 =    $\times {10}^{-14}J$
3.The proton is released from point A. Outline the subsequent motion of the proton.

  Two point charges are separated by 9wv2s i0db(a;t:mk 0gfh n ed)luj.u2 e q.da*a distance r as shown.

The negative charge's acceleration is 3 times that of the positive charge.
What is the ratio $\frac{Gravitationalforce}{Electrostaticforce}$ between the two point charges?

  Four point charges apx6cyf;c90/x/f s rzpre placed as shown on the corners of a square. Charges of +2Q and −Q, and unknown charges A and B are located aspcscfx/;f6p r z90 xy/ 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?