The work done on a beta-minus particle mxdglyk:.hx p, *27jrwhen moving it from Y to X is found to be −10eV. Equipxy*hrlm kgxd ., p2j7:otential 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 by a distanqq+rw *l(+ .cmx vo:djce of 5cm. The potential diff jc dw*.qvm++:o(qxlrerence between the points is 50V.
What is the average electric field E?

  Which of the following correctly lists*l74sx 7yamlx the fundamental forces in decreasing order o4xy77 xal*mls f strength?

  A beam of electrons enters a unaqbjvax(tultwo( ov6 z6+:( ,iform 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 electvt ** id-f;7e ycbfu5tric field, represented by the arrows. Which of the paths shown would requir df* c7v*yttbeu;-fi 5e the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distance, are jow x)j v6(dv9 .bdmy(x ;0/c-ywkkdgshown below, along with the electric field lines around each wo9m kj6 xg)xk(-dyy(wddv 0/b;vcj. 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 lo9g/rixi 0;97gnrzfo rcated on the same horizontal li 9gifx/0 ori grz7;n9rne.

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 positrl3c ex.7 i h6adxp7,abm0lg4 ive charge is bent into a quarter-circle. What is the direction of m i6,l c7xrehadbplx ag 340.7the electric field at point P?

  A non-conducting sphere with radius R carrie aaoqrio pyd9,94/re;s a uniformly distributed positive charge with charge per unito9ir dep/a,q;9aoy r 4 volume ρ.Point P is at a distance r from 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 equipot nlbog6 f7mz9o);;dym cyc+f9ential lines in a field due to A and B. What may be 9lcm 6 )odn79coy;zm g;fyf +brepresented 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 field represe4;gyqg u. 2paxbc+y5q nted by the equipotential lines shown by the lines in the diagram. The electron’s path is shown by the dotted ;p5.qg2 +xucb qyag y4line.

What is the path of an alpha particle entering the same field with the same velocity as the electron?

  An atom is being modeled wi3yc y3/)lvba6elx +dy th an electron assumed to be orbiting the nucleus in the f3) 3ac/bxlylv yd+e6 yirst 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 located as shown n*w8ca7of , fln:6ger in the diagram. Some of the electric field lines due to the charges are shown on the diagra l,f n*6c wrefog8a7:nm. 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 electri96g,t;tm kvhpc field and the electric potential due to a hot v9k;6tgh,pm llow 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 di ;nef7fdx 1o z3qe*r/yfferenc 7zd3yo / neerf1qfx;*e?

  Two point charges of −4.0μC and 88.0μC are separated by a distance r=2.0cm as zw x s(p5il y/ht)8m4qjv+/mi shown in the diwsx)pm/q y mi45 lvjz+ /ht(8iagram

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 energy.p7 a9rzkb;9wq
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 .gs9vu)cx)j. 8ptwlhequipotential lines are represented in the diagram.jtv w.x)lsp9)gc h8u 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 surfaces5n)nl v ofmn4pzsv 4x:930nc:ga i+r t 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 at a fixed distance. yls:j o+h4f8qf db4 il uksok) md13/5

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 iq u;9wj 3+lzcl3 )qsm;e ddjyyu*2/doai c(3jn a medium with permittivity ϵ. The charges are then moved to air so that uiqclyy 93um+a32sd; dz ) w /(*j j;qejod3clthey 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 -n24znc .kod)ep+sg fof two oppositely charged parallel plates placed a fixed distance apart. The potential dne)so 4n c+.kdf2-p zgifference 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 gravid -xae( w.0hwvz4rw60iio*wf tational forces on one another. To the nearest order of magnitude, what mass must the object have to be so that thezx.o-* v if(r40wiwh 6w aewd0 net force acting on it is zero?

  Equipotential lines representing the corresponding potentials are shown d5cj8vo 6cb1.fo.q vfin the diagra.foc.d 5qb cj61ovv8fm, in an electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges ouhv)bas: 1v,t al 6q($q_1$​ 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 rectangle. Whe2(( a kjpomas oh)6h1av4.zjh.tz 1lich arrow represents the net electric f zkzh41pa62s am .jo.j1 hetvoa(()lhield at the center of the rectangle?

  Four identical negatively charged objects move in an electric field along;3, so rgx.wjge :o)qk paths shown as arrows below. Equipotential lines for the field are shoqj3grs.w), kx eogo:;wn. 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 d8c8q p 14l, ax(y5xa;viymtiv5*0ueoc)zsrto a battery of potential difference V as shown in the diagram. 0icv(5 qmid yy x84 5x;* uvl1ap ot),zr8escaA 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 chargesnf:mir 6m;,xn m k3:mr of magnitude 2C and 8C respectively are placed 9cm apart. A third charge is inmfm: n xnk3rmm:i;6r ,troduced 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/v bilvzx*7i; w.egi )potential 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 of the charges is small compared to the d(a pq86w9wxig:5u trqistance(aiu5 w8t9qrwqx g 6p: R.



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

  Estimate the speed of an alpha particle that has accele98. j i ougj8ml,h3nhwwvb,q 0rated from rest in a uniform electric fielji 88,h. oqhb3m9glw0,uvj wnd E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total eleb wouf ov ;q28/9-rmexctric potential due to two point electric qberu;wo /8 mxof29v-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 w( j m a:q )pjjh-+hxee/1c7sopotential due to a point charge as a m7jw:eahchjx pj1 qeo+-) (/sfunction 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 asp xo08bmz/34q0rzgde8/ hxv charge of +3.2μC. Point A is used to describe a location 20cm from z3 r vmxbd ez/08qpg8hs4x/0othe 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 distan fbe.+ijq e5-v28aviy ce 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 shok(b :m6;ga chswn on the corners of a square. Charges of +2Q and −Q, and unknown charges A and B are located as shown on the diagram. : ks6amg;h c(b

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?