The work done on a beta-minus particle whendguc 6x*x+k. kzsd8 x* moving it from Y to X is found to be −10eV. Equipotentiadkzd+*86 xkxg *.scuxl 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 distance ok6gv; uo0 gw,tf 5cm. The 60out;,gwg vkpotential difference between the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamg98zi l *-8 xmtv5azyymc5r 8aental forces in decreasing order of strength? r8x 5 ymv9aczzm58a *yg8tl-i

  A beam of electrons enters a uniform electric field.x v85zttg nvij;sikd78pfmt1(:xc 6 , 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 amaq,lj:du z2vb9:tvr 46 x ox, uniform vertical electric field, represented by the arrows. Which of the paths shown would require the largest work to be done on ltdvro 49:a u,:q xbvj6 xm2,zthe hydrogen nucleus?

  Two charges, separated by a large distance, are shown below, along:vm vfejqb t2ct1 qj599 m*k.o with the electric field lines around each chareq*vb2j9:c .v9fjkmt tmoq51ge.

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 lojuv:(4omj9l fcated on the same horizo lj fu4mvo9:(jntal 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 positive charge is bent into a q/duy2 u(f(rx luarter-circle. Whafuxlu y/d2((r t is the direction of the electric field at point P?

  A non-conducting sphere with radius R carries a uniformly distribu8rla :n :j3 k1yqxypf*gz9 r0dted positive charge with charge per unit volume ρ.Point P is at a distance r from the cent g13d*:r k9lyp ynja0:rxqz8fer 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 fiekcowh/ ,mrz m -hz :2 2qr+z8ra+4altwld due to A and B. What may be represent h4,m/acarmrht -z 28w rz+lz2+:o kwqed 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 represented by the .r+h.uvvse):rjdmhp ibf :le+s 4m+. equipotential lines shown by the lines in the diag)dv:. ++.m+up mv 4b:hrfh .lsie ejrsram. 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 assumed to be orbiting tsnib9, ei +ftm8f4.jyu t1 m2mhe nucleus in the fits im8.j f1b4i9,ntfme+y2 murst 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 in the diagram. Some of th*7j,s,7vbq aq co5m1 a7sup0nv4nxgme electric field lines due to the charges are shown on the diagram. Points P omsnvp aa75qs1qvx4b7*7mujn0g,c , 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 :8d;iwn9dwifl6 z1/-brk b tz electric field and the electric potential due to a holl9d8 bz;bwl:ir n 6d/ kzftw1-iow 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 potentia qzg8gl5+v-qj l difference8gqjzgv +q5-l?

  Two point charges of −4.0μC and 88.0μC are separated by a di yfg8q: d0mg8tstance r=2.0cm as sh: gfty880mdgq own 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 ene950ohi q-nc+*;;zm v mjigo wbrgy.
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 7.(mg8jyb+yemz 41ecah :rr gfour points on equipotential lines are represented in the diagram shohmra+7czy1b mg.erg8 e:yj (4wn.
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 equip m;fr.lit4 ggx52 rc.+oa9assotential 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,1d*t s qpnu+d 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 separatecj*xqw*f os)k j6n+h 5d by a distance r are placed in a medium with permittivity ϵ. The charges are then moved th 6)o*+w jfcks5 *xnjqo 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 fronh q z)*jy1(ecm the negative plate of two oppositely charged parallel plates placed a fixed distance apart. The potential difference between the two plates is V, and the electron reaches the positive plate with a speehy)z*q j nc(1ed 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 2 25 cs*3f* lkbsn5tqqllt zi/jf1w2twith charge +e exert electrical and gravitational forces on one another. To the nearest order of magnitude, what mass must the object hasfl2/nc 15i2*l5* 3kzj 2 bf qtstlwtqve to be so that the net force acting on it is zero?

  Equipotential lines representing the corresponding potentialwb(w9.z 9ljvnql.v xk*7/9crhkn-tk s are shown in the diagram, in an ecwzwx blq 99tn.jv(vk*9rh/ nk .-k7llectric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges wt1k gwy- f.i-w,y7i t$q_1$​ 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 recta/j gkci v-hiy8f,9r.p ngle. Which arrow represents the net electric field at the center of the rectanf ,k8vc- /jgr.hiy9p igle?

  Four identical negatively charged objects move in an elg-/r3:14 rw cb;td clolv1ahlectric field along paths shown as arrows below. Equipotential lines for the field are shown. Initially, all four objects have the sbw/o;1 al th3:vg-dllc1rc4 rame kinetic energy.

What is the relationship between the kinetic energies of the objects at the end of their paths?

  Two parallel plates ezaw kdwdp.q(0f+3*kj c)f)tare separated by a distance d and connected to a battery of potential difference V as shown in t.fz q )dkja(f+ epww3 *0kcdt)he 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 cx,4 r7mavr k rdk2p)1nt*sq087qjuaand 8C respectively are placed 9cm apart. A third charge is introduced between the two charges as shown belor apm t)jsn,7 qv40xrac71 kq 2rd*8kuw;


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 char5kh-lbwidv 5r2n 9 w8jg nnbhc, rf5d)m/1mo.ge.
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 toy9wd)v yf+ ) k3yuyq6l*dah)nm 7m mo; the distanc6f9 yoyv3m+*yad) );dmwlkq h u7n)ym e R.



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

  Estimate the speed of an alpha particle that has acbzb8;u 5yi1:d7e s-taaqy2mycelerated from rest in a uniform electric field Ez:sd 7m2;8by5yqb tiaey -ua1=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electrn gz/httav .6 j/s/q/jic potential due to two point electric cgzs ta//jvq 6.t/nhj /harges $q_1$​ 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 potential due to a c 1pr;zc s44wi/5j vrm5 mcjp6point charge as a function the di v/mr rw5pc4c c6;msi14pjz5 jstance 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 20cm2k6wn4o9r0p7ziahwy1mii /w e i 0th:6,amw y and a charge of +3.2μC. Point A is used to describ7m/i 0 wpi,i9210:awr z he46m6nwowhiak y yte 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=    $\times10^5\,v$
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 s ,ic c2g svs9d8p7*xuueparated 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 placed as shown dbr( 8 2o(upqz(sju/gon the corners of a square. Charges of +2Q and −Q, and unknown charges A and B are loc2s jo(rb8ug(/pq duz(ated 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?