The work done on a beta-minus particle when moving it from Y p-r1eu6jla: bto X is found to be −10eV. Equipotential lines are represented by the dashed lines in the diagram. -1pab rluj:6 e
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 b8g0 2h0wxq/ s8m32e7his bgw;p ferkr y a distance of 5cm. The potential difference between the points is3r8exgsrh fb0k2i2 p hqgw e87;/sm0w 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamental forces in decreasing ort hcus2e +,7ua3 haeo1der of stren+s7 ht ue3cea2o u,a1hgth?

  A beam of electrons eg,ny+x bjyr2kp25t6 wv +by;cnters a uniform electric field, as shown.



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

  A hydrogen nucleus is he zl/3;bjl )pu5xh/- dj oejn:yld stationary in a uniform vertical electric field, represented by the arrows. Which of the paths shown would require the largest work to be done on the hydrogen nucby ndp/: /ej j xll35z-)uh;ojleus?

  Two charges, separated by a large distance, are shown below, along with ti ern 2-c2v7(5 fbdtp rq*tn1yhe electv5it* 72( 2f 1brqennytcrp-d ric 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 of equal magnitude are located on t0eg enfsq8d *7v4-y / r5tfhedmmxi;1he same horizontalr;tv mm8eiygd se-h1nf 4/f0 7e5x*d q 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 qulg9mfu1sai9 j7a urytfi-l 9-,lm40narter-circle. What is the dire1 9llamlj7n9m s-t0 fui u 9,-ayirfg4ction of the electric field at point P?

  A non-conducting sphere with radius R carries a uniformly distributed positive cz9 ibvcr-j:l.harge with charge pr . liczjb-:v9er unit 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 a fiel;fi-ta jo r*54,s0jcfk/9s wyjyt *kk:kv0n yd due to A and B. What may be rep *-0:y*/k;njts05yrskkfj9fyjwiao 4c vkt,resented 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 equipot jrfc,m 5wew7o:v g(p(ential lines shown by the lj(c:m,r5 (vopw7 gwefines 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 assum2r ryju*5 fms te*(rb9ed to be orbiting the nucleus in the first energy level with a speed of  eruf9(*jr5sy*t brm2 $2.18\times10^6ms^{-1}$
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 k*n hjsin08p5v.dchw i.; wul/ 0)yp nof the evsi w5nh.p h;i 0w8cjp/*ky).u nd0n llectric field lines due to 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 representsn d,n5bb(:k*h 6kzpj h how the electric field and the electric potential due to a hollow conducting sphere vary with distance from the center? The hbnkd56b,jk (h*pzn: origin of the graph represents the center of the sphere.

  Which of the following is equivalent to the un, w2 so w3yz :5;wezqrs5a5tje,ai(wnit of electric potential differenc rw 5s waen z,(sa5izj;y qw53we:o2t,e?

  Two point charges of −4.0μC and 88.0μC are separa: xc29pkg(/shl5ez w l,):dcxibuq,p ted by a distance r=2.0cm as shown in z (ip qc,wh:/gp2c),xl9d:esxl uk 5bthe 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 potentianh4k3j/lm w c8l 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 equipotenf ctysc-(w)h ph*;.pg tial lines are represented in the diagram ;w ghs-.p)tcf y p(*chshown.
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 equipwmxw.t+(qli vm e(zqj0 495mpotential 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 20n)m cg*g,i 5qgzC 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 with permittivit h1l7tuy6-k to wltc,-y ϵ. The charges are then moved to air so that they have the same force between them as tha,7t --l wcltukhy 1o6tt in the medium.
What is the distance between the charges in air, knowing that $ϵ$=$ϵ_r$​$ϵ_0$​?

  An electron is relea6m/p /u0ejc, xfg ;brnsed from the negative plate of two oppositely charged parallel plates placed a fixed distance apart. The potential difference between the two plate//n 6 xc uebfrj,0;mgps 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 char3sifn53rra9i:yg9 yp15 l cljge +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 fo5irs pary1 3l3lfc59gj:y9nirce acting on it is zero?

  Equipotential lines representing the corresponding potentials are dh 9,2 dqjj bhqqd3+x6shown in the diagram, in an electr d6h2 jd9d,b3x qhqj+qic field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges pd y z ;p24jt+)um tdjf)9p e..bbpmv1$q_1$​ 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 poiwj *g0 uvui*yey)7y;l nt particles are at the vertices of a rectangle. Which arrow represents the net electric field at t v;*gyleiu)u7jy w0y *he center of the rectangle?

  Four identical negatively charged object+qr27fm c2j 9hnks -rhs move in an electric field along paths shown as arrows below. Equipotential lines for the field are shown.9q +chjnh-s2 kr7f2rm 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 8s; vrog.x)kla distance d and connected to a battery of potential difference V as shown in the diagram. A proton rekv). x8og; slrleased 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 placedrt/ y )ua-ib59kt p (,2d/xi2oyt jcit 9cm apart. A third charge is introduced between the tt-yrtbxaiiy t922p 5 (ojk, t)/id/u cwo 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 point1n rx,yxyom ,8 qu6;b2/6wvqknu7 bet 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-,xtut9u fp 2xred to the distanceu9tf tx2,-x pu R.



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

  Estimate the speed of an alpha particle that has acceleratmsq6y-wcl p6wpv op fty2 ot/8p;/)8 eed from rest in a uniform electric field E=50 )8tem;pl cvy w p6yows2f/pot/-6pq8$^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potenti -ax r(or4avc( hu9m/mal due to two point electric c 9(h4ua(vc mxor/ -marharges $q_1$​ 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 vqtm a ujq9 -a)zr2z6y5ariation of the electric potential due to a point charge as a function the distance r frq9 z2aj6r-tamq z5u y)om 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 20c gd. zwm z.26+vb0vkhs5kc )kmm and a charge of +3.2μC. Point A is used to describe a location 20cm fk 2mcb0k)m5.zkswhzg6v d v.+ rom 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 by a distance r aej8o5pll(+rmar)y l+s 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 s4:aze )vhv jm1 dwxa-:quare. Charges of +2Q and −Q,j)1av hw:4:davxe mz - 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?