The work done on a beta-minus particle whepg )2cgr69cwzxnvt6;l f0fo+n moving it from Y to X is found to be −10eV. Equipotential lines are represw l9602gczf;c npf)ogx+vtr 6ented 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 dista xljtz+/rdxtif+3.t5yn bq .7nce of 5cm. The potential difference frl+t j y3x t/bi.qxt5zn7.+dbetween the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamental forces in decre+h9b(zwhq bd +asing order of strength?hq9h(d + bbw+z

  A beam of electrons enters a uniform electric field, ;)r3 uqh/xzwx6tjy:1fz cexhf55im* 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*b+lw5h1byi 9iu x.2x dxns99bsf z;z vertical electric field, represented by the arrows. Which of the paths shown would require the largest work to be done on the hydrogen2x9bldsy nsbwi9x9.fh*u i1;5 xbz z + nucleus?

  Two charges, separated by a large distac59 y k;1)r(kjhhpjyzs5 t(v xnce, are shown below, along with the electric field lines around each ;hy yk (9v5 c )h15xk(ztjsrjpcharge.

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 negati;qimlx 028fkq ( pceikq-kr+x. /l )cgve charge of equal magnitude are located on the same horizonta qmic08l/lk;qkf(gq )e+-ixkxc.r p2l 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 be rwf r./8b3mvy2i 5jxbnt into a quarter-circle. What bw3 v52yrbf/.rjimx8 is the direction of the electric field at point P?

  A non-conducting sphere with radius R carries a uniformly distributed hn8go7(w1 m-fgx x v6tpositive charge with charge per unit 6mogvx7nwh f-t81gx( 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 equipotential lines in r32dl xrsvg0is:t ptxt6+ 2/ka field due to A and B. What may be represente x svtl:6d2+0rk3gp/2t rsti xd 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 equipoten l.xe95in2wrntial lines shown by the lines in the diagx9w5 l n2nei.rram. 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 electronp: )4 u5nb05 v0 feav:wcw xn3qtoxc2k assumed to be orbiting the nucleus in the first4bnxcwfp0 5 ek:3:c5n2ax qt vw) ovu0 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 okg: lou u137.ibp6t ukf the electric field lines due to the charges are shown on the diagram. Points P and S are tg: oklp1 7t3 uk6uui.bwo 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 elec1dh p*lxu;0i 4;vvihgw3s s- ttric field and the electric potential due to a hollow conducting sphere vary with distance from the cen1gpls i4hv*-ts;;0xw v i duh3ter? The origin of the graph represents the center of the sphere.

  Which of the following is equivalent to the unit of electric poy ws mudc)9b) /nhupx2g1 o(k*:f jy1ltential differencebuy*(gnshy uc2 )ow91/l : pf1)jm xdk?

  Two point charges of −4.0μC and 88.0μC are separated by a distance r=2.0cm as s b:jgj 7eti4(vhown in the d7v tb e4g(:jjiiagram

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 energyr/jix/s+ f8gc24fqu jw; rv 4a+sc rh3.
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 2pc +o u5yhui3fty*w 4are represented in the diagcoiu* 3p w yytu+f452hram 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 surfac.-i)z*ky0avov 4dxe jes 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 20nf3wazmj 3/ 65mx,hslxi a6. zyC 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 separated by a distance r are placed in a medium w6zw mrz)+hs ,t **jmjaith permittivity ϵ. The charges are then moved to air so that they have the same force between them as that in the medium.mm)t j r +jzhs,w*6za*
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 c5apk aez xg949harged parallel plates placed a fixed distance apart. The potential difference between the two plates i5g4a99kezp xa s 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 wit pc 5d hk objnr+uj6m:2c(;,hjh charge +e exert electrical and gravitational forces on one another. To the nearest order of magnitude, what mass must the object have to be so that the net force acting on rn +m6uocc(h;,5jkj2d hb:pjit is zero?

  Equipotential lines representing the corresp jzn1kf9 y9r5sonding potentials are shown in the diagram, in an electric field. s9fzk rjyn951
Which of the following is a correct statement regarding this electric field?

  Two positive charges f3 a)ln6x )4(qwd ajly$q_1$​ 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 aj-yq(:l tz (ej rectangle. Which arrow represents the net electric field at thj(l: jy(qtez-e center of the rectangle?

  Four identical negatively charged objects move ino tdygl(n xw6 (;m0(rt an electric field along paths shown as arrows below. Equi d6 yt(nm;wlg(ro(tx0 potential lines for the field are shown. 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 to a battkg ipah7z;,ofp4x 3b4ery of potential difference V as shown in the diagram. A prox k za,fb44 ;hpo3gi7pton 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 b7th6usr)r hau761p hand 8C respectively are placed 9cm apart. A third charge is introduced between tsutha7)h1hr 7 rb6pu6he 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 poa o8(lk1 ;jomfint 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 distap5guwzwo0sd. jqn2a; x// cj+no +5/ja2gc/x 0 jsw;dnquz.wpce R.



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

  Estimate the speed of an alpha particle that has accelerated from rest ix)8t 7d m,e*6v rgt5m.xld7t lzn+uytn a uniform eleldgmtx8ye u.7*,x mtlt d+vzt 7)n65rctric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the totalsr 8) 9t 4iy4-kdfb+wku(wlkr electric potential due to two point elek t 4kwrkwyd8 -s +l4ru)(bi9fctric 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 : nrr9t vcl3yj 3v9cf,potential due to a point charge as a function the distance rvtc3 rjf3 9l9 yn:rc,v 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 ;7a fssa; ,bc4kdf9pr pgz;bpk5; e5 land a charge of +3.2μC. Point A is used to describe a location 20cm from the surface flf;;rg ps5cea9 s;74 kpkda;,5bpzbof 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 a(qf0 cbhr(iizj *eimd1-.6o00 bjw p rs 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 lgbtqw10o9p 2 of +2Q and −Q, and unknown charges A and B are located as shown on t2 pt0ol91qbg whe 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?