The work done on a beta-minus particle when moving it from Y .r2ut-m, z oqhto X is found to be −10eV. Equipotential lines ar -oqhzurm,t2.e 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 bl;xn *pptqx;cnr( +4w etween two parallel plates separated by a distance of 5cm. The potential difference betweenq4 rwc;n+*nt(pp xl ;x the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamedq lew 4a. + gve5*hj;jj)8pqqntal forces in decreasing order of aj5vpe ;wjqgq.d qh*4e+ )jl8 strength?

  A beam of electrons enters a uniform elookz ; nnnt;t*7qu,+ uectric 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 electric szj)zuxu fv h;/ pfeag0un41wy0* ,+xfield, represented by the arroh *1sep ; ufjugz0u,+n0vxa)yf xz4w/ws. Which of the paths shown would require the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distanczdm frx 8ngs2++xy;.mt3hh j6 e, are shown below, along with the electric hgxsm ;+x dz32h r jtnm8+yf6.field 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 9rt eqft8qx/:hvx3pv;,, rhgof equal magnitude are located on the same horizontal line. q8 v3ehr:pt ,/r9hf ;vxgx,qt

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 czck1w wjijm, x7*x1i8 harge is bent into a quarter-circle. What is the direction 17k 1m 8j*zcj,i wxwxiof the electric field at point P?

  A non-conducting sphere with r d ;d. nsafr74a7vvry2adius R carries a uniformly distributed positive charge with charge per unit volume ρ.Point P i;r v2yr.nav7a7d4 fdss 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 field due ee7w(k9w s/)c/xjtsf to A and B. What may be represented be(ww/ck) exs /9ts7jfy 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 sh me-dj-+ :lri-vf- qufown - ef--ijdlumq+r-:fv by the lines in the diagram. 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 the /sam9cs yz */wnucleus in the first energy lev 9cmays/*ws /zel 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 diah/n37 * jnlpfj.:acl:zy tuf.gram. Some of the electric field lines due to the charges are shown on the diagram. Points P and S are two points as located on the diagnh p:zj uc: .at/fl.*7y 3jfnlram.



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 repre;bklteo+ml x6p7z+ 1xsents how the electric field and the electric potential due to a hollow conducting sphere vary with distance from the center? The origin of the graph represents the pll+xembzox 16;kt +7center of the sphere.

  Which of the following is equikh8l +epb2m;/ta;nn3i l3 d nkvalent to the unit of electric potential difference?kmn23;8dln +t;kiebp/3n hla

  Two point charges of −4.0μC and 88.0μC are separated by a distance r=2,ndu84r4jwm7 7n utf/c8v lno.0cm as shown in the diagram n8d/ucnn ,mvltu84j4 r f7wo7

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 potentij4h/x.4ot 1;t9u , me1,+dpc nzc.pjmjjhcx qal 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 points on equipoten(h7q0zkw25 tno : kwfjtial lines are represented in the diagrq 0 twh2:7k(wofjnk5zam 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 surfaces9 3wtq e e/whdp bk92u5j( ;emzd(7ewr 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 distan7:8w-rl4cb b epq29-go dc*jf egh g6bce.

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 gw)bg0z4 yd8ia distance r are placed in a medium with permittivity ϵ. The charges are then moved to air so that they have the same force between them as that in the medium. )w0idg 48 gzby
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 chahp-luf6)9 b/woh/qv xa.czb +rged parallel plates placed a fixed distance apart. 9u6h x.whza l-+/qv/ boc)b pfThe 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 object with charge +e exert electrical and gravqd) kld; jncuny)o0r;:l 8 ds751vgpeitational forces on one another. To the nearest order of magnitude, what mass mustd d)vnsc;u;8n0:ldeqrj l71 5pygko ) the object have to be so that the net force acting on it is zero?

  Equipotential lines representing the corr;9tldd9fqy00k/0f qfg h: 837vh t,jolpqkj hesponding potentials are shown in the diagram, in anh jkh /,:f oy37d8hq09 kftq ;qf0tlplv0gd9j electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges(fqm7mf(vqo.zv7y bc*w / 7jp $q_1$​ 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 partw:smf-qaxe84iei qi1l2 /5 *y1z tspc icles are at the vertices of a rectangle. Which arrow represents thc e:f*2piq 1m iqai-4w15ez/sxl tys8e net electric field at the center of the rectangle?

  Four identical negatively charged objects move in an electric field along path9/lvtej5 3fzss;oy nr05 jur+fo mm7*s shown as arrows below. Equipotential lines for the field are shown. Initially, all rs luv f7*j5mzy0o 9f5+ e/nts3rojm;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 separatj-d 9eu3bo3 btkb dp1vfp;y98ed by a distance d and connected to a battery of p1pd vdo3pye ftb8jk 9b-u3 9b;otential difference V as shown in 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 are placed 9c72nf;; m qrai.s /yajc 3gnpn8r fxs04m apart. A third charge is introduced between the two charges as shown r 7n;pq8cygfins02x;mjr3an / .4s fabelow;


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 cep7q9u amiqq1d: n* o.harge.
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 cha*-xvgsu m ru 7eo*vjy: 49w)xsrges is small compared to the distance esu7*jv uxr:)w-mx9o4s * vgyR.



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

  Estimate the speed of an alpha wi) nxil:y5l1particle that has accelerated from rest in a uniform electi)5i 1llywxn:ric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the b)jphhpzxok c9p - 0ot(9v7ga k8+cm9 variation of the total electric potential due to two point echok) 9k90m bv x+9hz8apo 7gjtc-p(plectric 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.+d9cip1is x1w7 wpm v of the electric potential due to a point charge as 11xw 7i. wvip+p9dmsc a function 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 a charge of +3.2μC. Point; 5-rpzzieo2 d A is used to describ p;oz 5i-re2zde 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 sepac8 4s+-3 tdt/vhgt nesrated 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 on the corners of a square. Charges q f+wkz /xmh:+e -bet2;5dfbtof +2Q a2/ew;etb dfqx:kzt+fm-5 b + hnd −Q, and unknown 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?