The work done on a beta-minus particle wheojj)2r ja .fl c2,,oynoa e+2hn moving it from Y to X is found to be −10eV. Equijoae)r+oyoj2fn, jh ,l a c.22potential 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 shv1wd) 4eu; q4 g7iy ;pn)yuizeparated by a distance of 5cm. The potential diffy u1n gp7zwe););yqhd4ui4 vierence between the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamenb87q5lg ow4rqa mis9+tal forces in decreasing order of strqrbs98l q4migwo7a +5ength?

  A beam of electrons enters a uniform elec7- d cu ,wdklxeqi11obi,;(.w tbqjoaz m(d -*tric field, as shown.



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

  A hydrogen nucleus iss wn/ (oo2x 9i;;jvahtqm u,s/ held stationary in a uniform vertical electric field, represented by the arrows. Whoavs xuhw j;oqmts/,/(;2n i9ich of the paths shown would require the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distbj;o qa ns5(ee1/c/giance, are shown below, along with the electric field lines arbc1 jq;ies e/n5o/a(gound 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 ()k5/hc bqhfqlocated on the same horizontal line. hc() kbq5qhf /

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

  A plastic rod carrying a unifqb kx 1witn96s6u)9xnormly distributed positive charge is bent into a quarter-circle. What is the direction of the electric field at p) 6xik9bwsxn 6q1 nu9toint P?

  A non-conducting sphere with radius R carries a s(0w x0we(mczgxqm 8-yb) y*wp*q,kvuniformly distributed positive charge with charge per unit volume ρ.Point P is at a distance r from tz -b ks*x0 xpg(mqewwy *)w0vmy,8(c qhe 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 field due to A and B.tcp lwx e-*,p0*2ncr:bfnog;;n d5 br What may be represented bt ;d2*rrpw5nbp xf* g0c,o;nn: ec-lby 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 field represented by the equipotential lines 7py:, en z 6cng0gw1adshown by the lines in the diagram. The zw1ce:,7dagp0ngy 6n 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 be orbiti1gu c:(oaobz4d y, u)fng the nucleus in the first energy level with aub:d)aoy z(o,4 uf1g c 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 located as shown in the(r g9un m3i)e3le anzcb; -h9w diagram. Some of the electric field lines due to the charges are shoee(b3mc w li;-nr39n) hzu 9agwn 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 electqrbarjcy,a; u(v;. iq6 t *g2 ko17jk9 zjl5ryric field and the electric potential due to a hollow conducting sphere vary with distance from the center? The origin of the graph represents t,;qr okj6;7j2 qary(5kj tgai ru1 9vzycb.*lhe center of the sphere.

  Which of the following is equivalent to the unit of electric potentialsohjxm8 /i zm5wl )iwcr+7e71 differenceei wmx/85h csm1i )o 7zrjl7+w?

  Two point charges ofw57n0 9oz ae-rf (zxtd −4.0μC and 88.0μC are separated by a distance r=2.0cm as shown in the x-9z( rwea75d tn oz0fdiagram

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 enerimrx7vn,w3:gu1e ju (gy.
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 equipotef 4,ypzzw.buve) ,c6xntial lines are represented in the diagram showzp,w 4 )eyv6cz. xu,bfn.
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 surfas1dv4 zq9e 7dyb +1hevces 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 held an( (1l tpd wy0b4nzc6kt 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 wiz/) .cf66edl jeio wna/g xqu2.z5ysa-h o,m.th permittivity ϵ. The charges are then moved to air so that they have the same fora2goe mq/a huo.6l.s,d )fyzei/5-x. wnz6 jcce 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 oppo9c7qvxt yb1t5 sitely charged parallel plates placed a fixed distance apart. The potential difference between the two plates is V, and the electron reaches bt7t5y9cx q1v 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 gravitational b st5p 9 ena366c9qmik r+u:s+p q-oruforces on one another. To the nearest order of magnitude, what mass must the object have to be so u9iprq9-+n arm: +bk656uq co epss3tthat the net force acting on it is zero?

  Equipotential lines representing the corresponding pot-ah l0ot6a+p-luf a1hentials are shown in the diagramafl-h+l-ut 6a 0ph 1ao, in an electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges 1rv ;usahkq7ca )2a )cc) b(-rver3gm$q_1$​ 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 k mdm/opqx :+uox(0lz ;l43via rectangle. Which arrow represed;zk pi0mu:l ov+(qm3xlx/4onts the net electric field at the center of the rectangle?

  Four identical negatively charged objects move in an electric field alr 8vk)q*hofe 8na+ipp gdf.*4ong paths shown as arrows below. Equipotential lines for the field are +e4rnfg.* ia h 8fvpoq)k*8dpshown. 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 distancit hm vtf,pf.-m:* je61j z6efe d and connected to a battery of potential difference V as shown ,z v ftmt:jpi h 61m6e*ffj.-ein 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 respectively ar gf3 5vjzz6i u.1(8umjycfxo0e placed 9cm apart. A third charge is introduced betweefziugo6 x j z(.1jf8c035ymuvn 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 charge.pqkv ,0ofw .:a ks;osa:ml 1l5
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 comib,1 32 fjhtb4 fainj-pared to the distat-jif432jbhif 1n ,ba nce R.



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

  Estimate the speed of an alpha particle that has accelb1rw /bzjc2v-;sjq /bvb:y flah1f.8 erated from rest in a uniform electric fie1:.cbrwj jb;qf/ 1-yz fabvbs2/ v lh8ld E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potential due to two point ,lw3( gfq n+i lcli.:gsl*.efelecln(+ igq .s*lgfil, f3ce:wl.tric 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 variation of the electric potenti(pw5uhi5y u +kal due to a point charge as a function tp5h uw5+k y(uihe 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 +3.2μC. Point A is use, 4/0jb2 blkv hvmc zu1uv)n5bd to describe a locatiozbb1k0 n/jbuu,)l vh2 4cmvv5 n 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 by a distance r as showwnq7 * 5tlvre6n.

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 tmc rtpxs 44n)72dkdxt/snein) +w74 zhe corners of a square. Charges of +2Q and −Q, and unknown charges A and B are located as shown on the dsx44 tx) n4 /+dkn2n di7 wpz7e)msrtciagram.

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?