The work done on a beta-minus particle when moving it fro3 w7aeypjo sw*-4 6kvc .3dxplm Y to X is found to be −10eV. Equipotential lin3xw3 avd-le cpwy.ks 6 *j7p4oes 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 dim3w/ i;1babgoy7zqxoz )9 cj8stance of 5cm. The potential differencabwzog7 ;b/j 8qco3)x91i m zye between the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamental forces in dec88jl ( t4jomd tz8s/sdreasing order o(8dm8 o4tzds8jjts l /f strength?

  A beam of electrons enters a uniform electric fieldaq1 cf.a w0dy;, as shown.



What effect does this field have on the horizontal and vertical components of the electrons' velocity?

  A hydrogen nucleus is 2q5m3rbl 7ewbheld stationary in a uniform vertical electric field, represented by the arrows. Which of the paths shown would require the largest wor wbbr325lq7e mk to be done on the hydrogen nucleus?

  Two charges, separates ksvy;ca t4.kf4je92d by a large distance, are shown below, along with the electric field lines arou;a 94 kfvtcs4. syje2knd 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 of equal magnitude are locat*k -bg7m8 u bj/wss6eaed on the same horizontal line. mjsge*bsu wa 7/k6 b-8

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 distributef eu97s*t6gop eyg t5.jwjg3 5d positive charge is bent into a quarter-circle. What is the directio gj6gw7gt tosyfp59u* e3je5.n of the electric field at point P?

  A non-conducting sphere with rady 7x)bvq0t /m+5xnll v *x-svj0 erh9jypi t31ius R carries a uniformly distributed positive charge with charge per unit volumeqxmv )ej y0b t3x5v/-l 0s1iyx7r +* tnlh9jpv 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 a field due to A and B.u) +ugsi oupfhm p22q9)rek ,1 What may be represented by A and+2) fqppkr,uo21ugie) msuh 9 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 linn 8j7 bnrtm;-des shown by8n 7rj -dmntb; 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 *1q- +wjwm c+e m z9-reseayc7electron assumed to be orbiting the nucleus in the first energy level with a sp7m w-j-czw+* ee9+y qmser ca1eed 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 sh woa8 khi34l 2ikz5g9eown in the diagram. Some of the electric field lines due twoi5 kh389l 2aezikg4o 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 represents how the. b9t+aud s9 vnkjg28fr ;qfb(vo. t4v 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 center of the rnbj+.2ufd4 vq9sv;(t ga9k bf8to v.sphere.

  Which of the following is equivalent to the unit of electric potential differenck*mwio im9j2za 32oy+e?3miyj9* 2oowa +mzi2 k

  Two point charges of −4.0μC and 88.l0; f8z/ alrk8qebw n70μC are separated by a distance r=2.0cm as shown in the diagra 8rf7;/lq nwezb8alk0m

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 energy. 0h.adn+w w. vf
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 lineq7eun j 5dq :d6,t:msjs are represented in the diagram q,n m67:jqdusd:et5j 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 equipotentialk;i)c gevh jp)+3nf *n 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 distance. qd3 xn qpwci ;hf:;(x /u.dj1n

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 ply mg4tn-9wzt0aced in a medium with permittivity ϵ. The chargz-tt m9 y0ngw4es are then moved to 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 from t7zl1ht0pgj5r4 h .6ynklp( y che negative plate of two oppositely charged parallel plates placed a fixed distance apart. The potential difference y7hph 5grclkl40zj6 . 1ypt (nbetween 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 w/g+*b 7) bt*3u (bf.disytlkfpjy2d yith charge +e exert electrical and gravitational forces on one another. To the nearest or yb*l ygit dbjyb 3f7)f.(*/k +pust2dder of magnitude, what mass 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 upd ail9flbzp(3; k: zs)i8 ,othe diagram, in an :p)(;lk u pi,b osfd9ilazz38electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive chargesxt .xomz;; 8f+n)c wcc $q_1$​ 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 partibw d v5(h;jj1jcles are at the vertices of a rectangle. Which arrow represents the net electric field at the center jw5bjhd1j(;v of the rectangle?

  Four identical negati ;10cxvmjpb g p/hh+q8vely charged objects move in an electric field along paths shown a ;vx8b +h/qjmhgc0p1p s arrows below. Equipotential 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 battery b4da,cj3hbixmrq 3c 6) 7rl8zof potential differenmzxhd33rb7i8 6 crac4 jb,)l qce 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 9cm apar9tokt )xmh6i. k)f;oqa;c j0gt. A third charge is introduced between the two charges as showntx;qk6h9 kg oiaft;)cm )oj0. below;


At what separation, X, from the 2C charge is the electric field strength equal to zero?

  The diagram shows equipotential linz vyuk6) m8*jyes 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 compa,6ckn 0ig:-cinw 9 fwored to the distanc fn-9cwn6 o,gk:0ciwie R.



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

  Estimate the speed of an alpha particle that has accelerated5j-ofm;(rnm:r4agb z from rest in a uniform ea rm m:5jnzgb f-(o4r;lectric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potential due to t.,euv 8 eb+izl)+*p.xkxgk bm wo point electricv)ge mbp b*kk8+,i+ux z.x l.e 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 i tlg7*h ;qs850t6;u-br j, fhd6wsob7 apvqmvariation of the electric potential due to a point charge as a function the diq58 ,smit7;hs6w g t7vq-ar0ju6h;dl bobfp*stance 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 opfh;gxl rv7otqvs 8+;(e -i+ ff +3.2μC. Point A is used to describe a location 20cm from the surfacg;;e xl 7trp8 hi(-f v+voqsf+e 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 by a dist73o hy8f.ssy- mw1eqcance 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 are8 sp3yx)ghm *hdgh a4m ktm4bn :8-wo3 placed as shown on the corners of a square. Charges of +2Q and −Q, and unknown charges A an-pkg*8w mha hbt smnd:)834mgxh3y o4d 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?