The work done on a beta-minus particle when moving it frou 5acm5o pb (0a6:xrzg-ksi * 2w7wglfm Y to X is found to be −10eV*0ozbwmpa-:5x a lruwg6ic g f72(k5 s. 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 byweor+iw5k/) z-d.htu a distance of 5cm. The potential difference ke+-5dw)i . hwturz/ obetween the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the94ta5hu ivwu( xd:/b dhw/ h.q fundamental forces in decreasing order of strengtxbu5./ :u(vq9ih h w/dat 4whdh?

  A beam of electrons enters a /f sv8e bj5 lfsq5; 1)fd1r4-dfufokouniform 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 statvcted d k4399z)vkh*9d ,mj taionary in a uniform vertical electric field, represented by the arrows. Which of the paths shown would require the largest work to kk ed43d) jv9tc9 dhazm,*9v tbe done on the hydrogen nucleus?

  Two charges, separated by a large disb aq3y-b e3nn(tance, are shown below, along with the electric fie-anyn (eq3b3bld 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 charge of eqty w1;2n(spg cual magnitude are located on the same horizontt2 (;p 1scgwynal 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 uniformly distributed popxewd0:qws swq usg (9oz374 :sitive charge is bent into a quart::odsx9egsq(uw 0wqw4s3z 7per-circle. What is the direction of the electric field at point P?

  A non-conducting sphere with radius R carries6adox4q; pksc*n3soc 2z2- wo a uniformly distributed positive charge with charge per unit volume ρ.Point P is at a distance r from the center of the3oqkdz*cox so 2;pw6sa-2c n 4 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 fiei 2zuq+ -mm8qx)sm(yyld due to A and B. What may be represented by A and B?z2mixqm)( m y s+-yqu8

I. 2 equal masses.
II. 2 equal charges of the same sign.
III. 2 equal charges of opposite sign

  An electron enters anfms5) au q*e)wl8rq( h electric field represented by the equipotential lines shown by the lines in the diagram. The electron’s path i h)q8a5wlrm *e )qsu(fs 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 elec))4fuijqv5r9 iox .u 8 -xgqg h)v7scxtron assumed to be orbiting the nucleus in the first energy level with a spee4ixsh)u)g7xxfrv8 9q -5oic jg)u.q v d 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 located as shown in the diagram. Somz(r,x9f4 gi;bo7sq k ud dq),ve of the electric field lines due to the charges are shown on the diagram. Points P and S are twoqbdrfzi (k,4gq x ,7d; o)u9vs 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 graot;rs --)./9kg, booyur+xg pi -knaq phs represents how the electric field and the electric p;b o) o qp-.nax9gikgr/,-s-tukr+oy otential 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 potential d nbrxkvk*8-m 0ifferencekb-m0* xk8 rnv?

  Two point charges of −4.0μC and 88.0μC are separated by a 0rhoulc 7lqc*fj yr.8xj)v(;: cb f5vdistance r=2.0cm as shown jlvfr xql);c*8cbyurh0 7(:vf.5o c jin 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 potentiau.zj2 .d2on wml energy.
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 pod9p1) jmba ooy:g nd-e,wc3 i-ints on equipotential lines are represented in the diagram d c bima,o3o d:9nypg-1ej-w) 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 o4aoej2m4 vjf m6pn 0 :jn8dlu+f 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 cyk+qgn0 uuasi w2 z44cn0b6-tharge of 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 placed in a medium with perm60wa1txlddr *nyc *;p+ dntg:ittivity ϵ. The wgcld6t:x0 r +y1t*a n;d*dpn charges are then 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 from the negative plate of two oppositely charge *h, rnd2ek3wvd parallel plates placed a fixed distance apart. The potential difference between the two plates is V, anr nhv32wde*k ,d 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 ;miwq6 xh 7(4 iys-mhyobject with charge +e exert electrical and gravitational forces on one another. To the nearest order of magnitude, what mass must thehws(im7qyx;y64mh - i object have to be so that the net force acting on it is zero?

  Equipotential lines representing the corresponding potentials v.(g gs+3he , 7selsxyare shown in the diagram, in an elect(ev,3 sys7gexh .gs+l ric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges +ihpe*.q3qzq 9 uo3ea$q_1$​ 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 zgx *cg lxtm7 0e7o*xj3lr(5tat the vertices of a rectangle. Which arrow represents the net electric field ate3r7tml0txc(*x ggzj*7ox l 5 the center of the rectangle?

  Four identical negatively charged objects movenk,v p1bt8 k:mots 0 +i7ff0ha in an electric field along paths shown as arrows below. Equipotential lines for the fiel k7ha m0kbp,o8t nf0stv1i f+:d 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 cmjmye/c /*8- *)qosv vj 7cahdonnected 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 oppos /cc-yqj/*8ahm jso7md)ev* v ite 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 respectively are plzd6m 0; 2mgqft2zc *yj,5oyvq aced 9cm apart. A third charge is introduced *;zyoqt22yjf mv6 5m0 ,zqgdcbetween 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 point oj:i z1.6 wifpcharge.
A second point charge of 0.8μC is moved from X to Y.
What is the work done on this charge?

  In the following diagrak qb1 p4ekn mx,a*t-q6m, the size of the charges is small compared to the distance R. -*xtqkk4pa1 ebm 6,nq



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

  Estimate the speed of an alpha particle tz:ptw rh vuk/7d0cx+0hat has accelerated from rest in a uniform elect0+ curt/dz hv7k p:0wxric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potentislm cpr(( t0o:al due to two point electric charges s: roc((mt0pl $q_1$​ 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)pri*eh 6mg1) kww6r wiation of the electric potential due to a point charge as a function the dis 6w)i mgp)k1rh6wrw *etance 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 +3.2μC. Poinbp,ycca/fy0/b 8q pa5 t A is used to describe a location 20cm from the surface of thyqbfcc ,a//5p8y0 b pae 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 vs:yz 8 x8f/5f+ ufwzp doqi64r 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. Charge 1 x n5j90q ;znrky)jbw5 mabwc:b)t9cs of +2Q and −Q, and unkwxj1 wb0n zc5:amjk y9)bnc95;trbq )nown 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?