The work done on a beta-minus particle when moving it from Yqltzqn .o3( c: to X is found to be −10eV. Equipotential lines are represented by the dashed lines izqt co:3 .n(qln 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 )nxl:kp n 7b0fplates separated by a distance of 5cm. The potential difference between the points is 50pn:b)n0l7 xfk V.
What is the average electric field E?

  Which of the following correctl9 a3:5w puqnaq7 vv gv***u cho08(xz 2qhwbpey lists the fundamental forces in decreasing order of strev 3a*85qhvg q*pu*( w z9 vq2x7nowp0chea :bungth?

  A beam of electrons enters a unifork,:1 iehve (o4(y,mttqjh*a sm 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 inej57 g 1+ dg)6ryotitu a uniform vertical electric field, represetu tig+r5) 6eojgy d17nted 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 showrxm p.v lsg /y3ndq5wgr/*:. dn below, along with the electric field lines aroglryv5: swrddg/*3x p.nm. q/und 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 chan:4-20xhxb 3fw9p9 ucxeb mebrge of equal magnitude are located on the same horizontal lineu xcb0pbh:wfbnx299-3 me4x e.

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 positive cb22z tqmz0z7 w7ufcuu9,t5tcharge is bent into a quarter-circle. Whatctqzuf0 72uz7c,9bt mzwt52 u is the direction of the electric field at point P?

  A non-conducting sphere with radius R carries a uniformly distributed pos g5rqa/ip qgf .u1k,qaj3)ov 4itive charge with charge per unit volume ρ..pra,q q5q3ao)1 i f/kg4ugvjPoint 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 equipotential lines in a fiel+rf-yyn2h84+jybsp ap0hy t 1d due to A and B. What may be represented by A and +yt ahjyp0428sfypn1-ry +hb 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 bn:wz 5ar/ 4xfpy the equipotential lines shown by the lines in the diagram. The electron’s path is shown by the dot zp:5nfra w4/xted 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 o(/bjknd* ll7 hrbiting the nucleus in the first enhjld/( nlbk 7*ergy 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 locategw37 5 nc buw5nu09pomd as shown in the diagram. Some of the electric field lines due two 55u3g9 u07mpcnwbno 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 represeb ,+bj4c.l vtwfls:c5nts how the electric field and the electric potential due to a hollow conducting sphere vary with distance from the center? The origin of the grapfb 5tlslc,c+j:v bw. 4h represents the center of the sphere.

  Which of the following is equivalent to the unit of electgi, ;gkr yg,l7ric potential differenciygkl; g7r, g,e?

  Two point charges of −4.0μC and 88.0μC are separated by a distak+tdl ysw98 :jnce r=2.0cm as show+ksl8 tw9 ydj:n in 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 potential ene3 zkakrngwc-)cg c,3,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 equipotential lines are representedos1o9 6mcvmvb8; : l-.rgt nf+a d/fzq in the diagra.n ozcbg 6-/1+tm :;msaf vl89dfrqovm 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 +j 6lzll 8pw) rz4*o jpvpb3y/equipotential 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 20nC are held at a fixed dis zj lbv:5-u*agtance.

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 ;i( e5vosje num(cj50with permittivity ϵ. The charges are then moved to air so that they have the same iv(;mo5 es5j(cneuj0force 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 t: q gl.,xsme93w)b1s;d5 e zl*idptx phe negative plate of two oppositely charged parallel plates placed a fixed distancest*3:w;) li ,px beldgzdxs.q1pe5 9m apart. The potential 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 obj+k.uzwn*w mtu1m); qhect with charge +e exert electrical and gravitational forces on one another. To the nearest order of magnitude, what mas+n .hmmuk ;w ztwu*q)1s must the object have to be so that the net force acting on it is zero?

  Equipotential lines representing the corresponding potentials are shown in tuj2lo h*7 tkdeu8 e9st;d0y b:grk0 /the diagram, in an electric field.j;ut 2hd0/urto9s8:7k0 *td lee kbgy
Which of the following is a correct statement regarding this electric field?

  Two positive chargesa kzg gf-9-p8(xdg6 te $q_1$​ 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 verticg u592(mp +fd-yrwx9zpk ui(m es of a rectangle. Which arrow represents the net electric field at the centerdzpymf9piugw5-((+ k92m u xr of the rectangle?

  Four identical negatively charged object4ftl y5w* o)n*zysrv;s move in an electric field along paths shown as arrows below. Equipotential lines for the field are shown. Initially, all four objects have the sameo w5;ftv *nylz4*sr)y 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 distpofb q*9nw6p-*nr,d rm6q 9xpance d and connected to a battery of potential difference V as shown in the diagram. A proton released from the positive plate gf*d9npno* q p6r,xmr w6q9-pbains 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 )jk;jar7x08 gjmp*ap respectively are placed 9cm apart. A third charge is introduced betwemr g0 j)a7p *jax;8jpken 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 chargevgx9n:ma h 2jss -e.-e.
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 chargesay 3e3. fp)omi5btvq n+f 9d9s is small compared to the distance9tapfb)5yd3i 9+ov sf .eq3mn R.



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

  Estimate the speed of an alpha particle tq d 0;i(bxphn)hat has accelerated from rest in a uniform el d)qx(i n0hp;bectric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the var+,q;gcl2+., bj+cftd e wvxjv 7w j)uoiation of the total electric potential due to two point electric,twjxv;o c, fej l.+qwu+jd g2b7v+) c 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 x uek1/ z()4ct,ckzs )f3ll qspotential due to a point charge as a function the distance r from its center./s1 (kze)xql l3ckz) stu,f4 c

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 +3.2μCdgexp:v v30o 0s()mxd. Point A is used to describe a location 20cm from the surface 0so(vxped0g )d3x mv: 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 se tfuq02m;s ap7lrot-4parated 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 placumrx- eppt7xd4 9 .o6 h8pk:tqd6c2 ;xzzjc r:ed as shown on the corners of a square. Charges of +2Q and −Q, and unknown charges A and B are located as shown on tok 4 p m8rp9zd2zuxp xxer:j-6hc;.tc t7 :d6qhe 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?