The work done on a beta-minus particle when moving it froe7 /me.qyh7j(fh e )lcm Y to X is found to be −10eV. Eq(q j.l7 eyhe7)hfce/muipotential 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 s yj jad .hprmtuev59j m;8:38geparated by a distance of 5cm. The potential difference between a ;g m vhdj5 .rm88p9t:juye3jthe points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamental forces in decreasing oy+ +4: px5s (prvmolbnrder of sty: +ln4p(svmbro5 p x+rength?

  A beam of electrons enters a uniform electric field, axw2co,aq.hxo p9 )1f xs 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 fu 2(mty- nkjt9;o6wcb ield, represented by the arrows. Which of the paths shown would nk9tmyo; -(btu6 j2wcrequire the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large d:rv rh-m9 bxi pvmwa01 i5,n4oistance, are shown below, along with the electric field lines around each chvi x:4rvhab0ip95w1-mr n ,moarge.

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 neg4u 2e 2nls-tso9dk(voative charge of equal magnitude are located on the same horizonk o2(us2t n-9 sl4doevtal 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 bene+x s7y wm3p5bt into a quarter-circle. What is the direction of the ebpw 3y 57mxs+electric field at point P?

  A non-conducting sphere with radius Rb8u lno8s4a8j carries a uniformly distributed positive charge with charge per unit volume ρ.Point P is at8us bnla8oj 48 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 t6 hmhxcu2l.n9lnr:( ential lines in a field due to A and B. What may be repru 6h.n mh c2(r:nl9txlesented 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 erkuwx9:o.fe,r yaslfuvlnpm 1-) 43*quipotential lines shown by the lines in the diagram. The electron’s path is 3l xfy o:efprsnr m* 4akl1v,)w.-uu9 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 electw2lfn5e8y5 me ron assumed to be orbiting the nucleus in the mw258l yn e5fefirst 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.48sq;/x3t jxwbvftlwql 3f 6ozh,c4 yv a /(6p Some of the electric field lines due to the charges are shown on the d(hvw4fto3y46axlz cpqb/qt8 w; lf x 6/js,v3iagram. 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 hypu1 jhlipe evt:l -l3.48viseg3j20ow the electric field and the electric p epsl.lp 4jlu 183ej-3y0hi:t2iegvvotential due to a hollow 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 electrig3a6 re s5gp;wc potential differencw pgs5r3;6 agee?

  Two point charges of −4.0μC and 88.0μC are separated by a distance r=2.0-e, *vl 7zonvtcm as shown in the diav 7l,nto *z-evgram

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 pote:ulae:)hcgk : ntial 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 equipotential lines arj ov ),mu ;d3ccz( hmb:qcf/f8e represented in thmbm qd:(fcvuh, o3; /zc8jf)ce diagram 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 equipotenti* 4ez b-: hek9ro;fdglal 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 y0hz r-15mb x3j-nxdscharge of 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 separated by a distance r are placed in a 6m*1rzfi y *lymedium with permittivity ϵ. The charges are then moved to air so ty6 *izyf l1*rmhat 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 from the negative plate of two hl iba 6lhef6 t8gg -,)c(wi()whuyf;oppositely charged parallel plates p6uheb(fwhcl;aw6gi(- hg,f))8y til laced a fixed distance 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 object with charge +e exert electricalba b s.k4u++kj and gravitational forces on one another. To the nearest order of magnitude, what mass must the object have to be so t ksb +j4+.bkuahat the net force acting on it is zero?

  Equipotential lines represent)l7wu/ 6ozt t4xo/df ting the corresponding potentials are shown in the d/u o)ttdxl67 4ztwf /oiagram, in an electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive chargesk7md:hc1b) 7io x .pkz $q_1$​ 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 qvx1zl hkj 5x/ wtdnot 8zvx ,341k+x)rectangle. Which arrow represents the net elecxqzx)kokzv 4t1tn/jhxvl815d w+, x3tric field at the center of the rectangle?

  Four identical negatively charged tbvr* p yu,0v9objects move in an electric field along paths shown as arrows below. Equipotential lines for the 9pu0,t bv v*ryfield 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 conne* dzqq ( x2ygizkg-4)i,q(awfcted to a battery of potential difference V as shown in the diagram. A proton released from t i( azg*zq)giq4qf2yk(x,-wd he 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 yp.m(5e 2 kvn qvq5dw78C respectively are placed 9cm apart. A third charge 5n5(7 vymepq2 dvw.k qis introduced 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 equipotentiap)b/x b1nil .89w qxvul 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 thepwxa7jx u-5f: *t w7ai distance jxi -x7wa*u wta7f:5p R.



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

  Estimate the speed of an alpha particle that has acce -b:vgni7aae. lerated from rest in a uniform electric fielde- .:avg7ina b E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the tot6l pky(gov/w4d fd7s/s 4kvc8 2k1cypal electric potential due to two point electric 7 c4d/ysk4pf k61ykl d(/ scpv82ovgwcharges $q_1$​ 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 k6rzylh n bw0q/i: q(*point charge as a function the distance r from 6 *znbil: (w/ky qqrh0its 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. P.gkmoq ag mv,x,da+4 5oint A is used to describe a location 20cm fromaqvg+ kaxd4.,,m g 5mo 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 separated vwkj u5sk v(5g. zknhcbr.8+-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 placedwsw)7e9 eaq* d as shown on the corners of a square. Charges of +2Q and −Q, and unknown chargesseqd )weaw 7*9 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?