The work done on a beta-minus particle when mhl9h rzf0/ 7 3m1 cizya/ql5nfoving it from Y to X is found to be −10eV. Equipotential lines l1/fmnhzl59ra0cyqi7 f/zh3are 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 distance oflz zc wmtw09.fe*n8u) 5cm. The potential di)fwtwc.*un8e9l0zzm fference between the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamental force6v-sf 6s7pu0 r u4xzxq/kz2 jes in decreasing order of strength 4x 0 s-skzq6f67vrex/u2jpuz ?

  A beam of electrons enters a uniform el3g5zwji(1 ) hx wsa* fr9vsqp8ectric field, as shown.



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

  A hydrogen nucleus is he/gvlmej q,ge l605 b *.mim+ceo 4*hdfld stationary in a uniform vertical electric field, represented by the arrows. Which of the paths s5/l4h* ,ef.jl6b ecme+*om gd0iq mvghown would require the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large rslfwk e (347gdistance, are shown below, along with the electric field lines around eachr4kw glf3 se(7 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 magnid)8 put6xah,)g:lt 2+jmhmpwa6p y6utude are located on the same horizontal line. w)p6t, x 8pd2tpuu 6hm myh la)agj:6+

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 dig )b:uf-e) rhfivj 4ncl78+lkstributed positive charge is bent into a quarter-circle. Wrub kffcl lig)j)n+e48-7:h v hat is the direction of the electric field at point P?

  A non-conducting sphere with radius R carries a uniformly distrkb00cv4 mhek *ibuted positive charge with charge per u*0mhvbke 0c4knit 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 eq xvx*v(sub 1j)i3,iio uipotential lines in a field due to A and B. What may be represented by Av*1 ui) ,3 xiisxojb(v 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 equipotentxl8ctxk5n6 ;doxi a b9d (xk70ial lines shown by the lines in the diagram. The electron’s path is shown by the dodad5 7;t (xn6kxb0c xlix8ko 9tted line.

What is the path of an alpha particle entering the same field with the same velocity as the electron?

  An atom is being modelemvdq1 dc0aydn3zq*j nai07r/1cd5 1ud with an electron assumed to be orbiting the nucleus in the first energy level with a speed of  0d0dj 5/3ydqq11 duaz7 nanrcci*mv1 $2.18\times10^6ms^{-1}$
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 o/kp-kmco/v9d f the electric field mk9vc/d/ pk-o 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 represen p05n hvdh9bp8by/.pzts how the electric field and the electric potential due to a hollow conducting sphere vary with distance from the center? The origin of t.h0 /hnzp5bp8dpbvy9 he graph represents the center of the sphere.

  Which of the following is equivalent to the unit of elecab*mcyye7jgl24udld .)g z*)tric potential difference?*4gcdau2y bmz y )e7d.l*jg) l

  Two point charges of −4.0μC and 88.0μC arj*ti,9ov lb; h4 er.+(qbvvj ve separated by a distance r=2.0cm as shown inlvh(9*.eo v jqi, v vb;4trbj+ the 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 potentia+8f rowqe6.g8eb*g v ml 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 lin;w bgogp)y1ea/.di s*/2xclles are represented in the diagram o1); ilsl/gxcedapb wg2*/.y 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 surfar +*iff 1v7jxxx:;bddeqf;u4 ces 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 af8(u p1 :z+pxdz pk*o/uv9t ei 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 a fpdkl yb1bhm 045c3( 2k+czrk*cr(sgre placed in a medium with permittivity ϵ. The charges are then moved to air so that thzbydl +kk2g(c41pbf k hm5cr3(*c s0rey 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 oppositelfm2k b oovoh1a4+ vn*q3*eb y9y charged parallel plates pl1*3nv 92 4mo feho +ok*bqvybaaced 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 objecq2 qn1(xdyr1bt with 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 ny1x bd1qq2 r(force acting on it is zero?

  Equipotential lines representing thea:*a , nd twf * f/s-(zqceyb:(v;cwfwl1oep5 corresponding potentials are shown in the diagram, in an electrzw5::* 1ea qd*- fs( ve/obwafc ;(wfyntpc,lic field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges 30x pte0aoo/ j$q_1$​ 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 particu ,sk(9n(r 2aqd+ xdjcles are at the vertices of a rectangle. Which arrow represents the +,ucqdjk(n(xdra29 s net electric field at the center of the rectangle?

  Four identical negativelf-(h1lou-hke4 + iqmj)m5 izhy charged objects move in an electric field along paths shown as arrows below. Equipotential lines for the field are shown. Initially, all fo(mjhz uli1+ 4imokqhh e- f)5-ur 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 bat8u +8jm-x t l1lbhwwfenjm.o+jn.)u3tery of potential difference V as shown in the diagram. A proton released - b e fo+.mlj8nj 3mltu1+h.xj)wn8uwfrom 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 8e j5;bdpy+jg)1 txd*w C respectively are placed 9cm apart. A third )etgp d*;y5bxj1 dw+jcharge is 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 equipotential lioyb bl 8x(smk+*/yv:o nes 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 cx1me ayh/( sq m4n6 btz9v 5w**exy9xlharges is small compared to the distaehx5 mb *ze41vsa9xy *mt6ly/ x(n9w qnce R.



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

  Estimate the speed of an alpha particle that has ac tg;,snvto 515hjq1krcelerated from rest in a uniform electric fie tqj v1tsg1o,khn55 r;ld E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the tota 4fm:8daih 0pfl4n; rul electric potential due to two point electric fa0fu :lnp8h4d mi;4rcharges $q_1$​ 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 thgz-h9g:m2x hne electric potential due to a point charge as a function the distanch gh:mng-zx9 2e 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 radx oztvw+zr c(u0 7f)5e7pil2e ius of 20cm and a charge of +3.2μC. Point A is used to describe a location 20cm from rz( p75ulew7v)2o x i 0cz+ftethe 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,pp, h.0 katl/hdj 79b0vhh zl 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 askgh.drvasis7 0.-6jxj,45 e8lt vppa shown on the corners of a square. Charges of +2Q and −Q, and hj570d-t se4 s .apaigx8vpjvkr,.6l 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?