The work done on a beta-minus particle when moving it from Y t :8vu7rc7g9 v0eq ghteo X is found to be −10eV. Equipotential lines are represented by the dashed lines in the diagram7 t78gv9c r:v0eq eugh.
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 0p3psz uu-,f rdistance of 5cm. The potential difference between thezf30urpu-,sp points is 50V.
What is the average electric field E?

  Which of the following corre8m65nz uqb; l.pephh- ctly lists the fundamental forces in decreasing order of . ezp-5un lm8h6qh;pbstrength?

  A beam of electrons enters ( d5v lju) k5mbvr2x(ea 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 held stationary in actl +h,vu.*v bdz-ksra2l1s b0;6x vb uniform vertical electric field, represen* ,6la1 xs btrdbv+c2;ls vz0 -kuhb.vted by the arrows. Which of the paths shown would require the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distance, are shown below, along witn7lxqf1yin8 ywqs0 99 h the electric fi8w790q1q fx yn9 slynield 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 ww3 z.rc n4 eoamjq62x6g )m3ncharge of equal magnitude are located on the same horixe 33z2.n w m6qwamcg4or)6njzontal 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 charyyo.;6tv(lil, kcat)s7b8, swac / unge is bent into a quarter-circle. What is the direction of the electril y,c ./s c6(;u8owlka7nsttvy),iabc field at point P?

  A non-conducting sphere with radius R carries a uniformly distributed positive c 6p2xivdb(q6( 2gaz kjharge with charge per unit volume ρ.Point P is at a distance r from(dxpiazb2v(2 kq6j g6 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 du v 5kuq-do4uz5e to A and B. What may be represented by A and B? zu -od4u55q kv

I. 2 equal masses.
II. 2 equal charges of the same sign.
III. 2 equal charges of opposite sign

  An electron enters an ermcsx0)/n(, si unvzsaa-:o 1lectric field represented by the equipotential lines shown b mianz:cxo10 a)s/s-n,sru ( vy 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 electron assumed to be orbiting the nuclf -g+eru;fs3beus in the fiu+bfesg- f3; rrst 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 0uc6z: 1rby rp)wk wlc 9sv3 06skui*mthe diagram. Some of the electric y1 )ku:r3sl0b6wrmv0 pc wz9ciu*s6kfield 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 represents how the electrqq5// t4lrn qx9c y .fcwy25taic field and the electric potential due to a hollow conducting sphere vary with distance from the center? The origin of the graph reprlt /4 an5qtc2ycr95/qyx qf.wesents the center of the sphere.

  Which of the following is equivalent to the unit of electric potential bu2hov0p6r*tm n ,1oq lqko3/difference?q0h1lq3*vtnbo o ,m/ 6pruk o2

  Two point charges of −4.0μC and 88.0μC are separatea)di x9yp6) fgh. qst5d by a distance r=2.0cm as shown i6h9a.))fi ysxq dp5tg n 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 potenaynkrj+ g b(igq5cr85/+e1m :gdju 6mtial 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 equipoo v/sa.nib . w4:6qtwltential lines are represented in the dia.a/wil.on 6qwbs: 4t vgram 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 surfaces vffsh*d )3yn,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 chargfj- 3yf+ d88p+ d fzeqrr)gmg4e 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 1lo,yp- i::rvqw0phie;xs d 2medium with permittivity ϵ. The charges are then moved to air so that they have the same force12-pipq,r s:x d i:wvhoe 0ly; 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 oppositeak8dc,0 yt t:cb /eetv1j5ee/so a31h ly charged parall/e :o08 tsja3 5y,cbk1aet/ev1d chetel plates placed 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 exed lr+ 3oodl36wui/,u s)rxgj1rt 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 ito,j/lxl u3 sdr3gd6ou)+r1 iw is zero?

  Equipotential lines representing the corres p7ie;fcr(k)gponding potentials are shown in the diagram, in an electric field.rp7(f;)gkie c
Which of the following is a correct statement regarding this electric field?

  Two positive charges (-i )*/b og1duqf niaq$q_1$​ 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 8q4fwt2b://5br/ tkjtotavu are at the vertices of a rectangle. Which arrow represents the net electric field at tftq/r/b2 5va:4jkt bou8wtt/ he center of the rectangle?

  Four identical negatively chargerw)eeitmx6 lp 0q;1086bit jjd objects move in an electric field along paths shown as arrows below. Equipotential lines for the field are 6pe jim06lbqxw r; e 8ttj)0i1shown. 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 d8mblsn;*+9 b6tq v sxa battery of potential difference V as shown in the diagram. A proton released from the positive plate gains a speed v when it reaches the opposite plate.tbvs nmx6dq8s; +9b*l
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 8Caq uvj(( 3mc+jjil2:+knh9uxlt n 1s. respectively are placed 9cm apart. A third charge is introduced betweenljkjlsj(+tx c3vuni2m+ .n19(qhu :a 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 lines due to a pointceu(y2nh z :*yl(h ld0 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 lvg dwh1af xr 3ink 8:0xee(9-n4aly8compared to the distance R-ar 91h8kaxnwx ee3dl0fl8 v4ni :g(y.



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

  Estimate the speed of an alpha particle that has acce9ggkhd lv 8di5u,/t .slerated from rest in a uniform electric s.li8/ku,dv 9 d5hgtgfield E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric rus pl;n 3ltgs6d, .5spotential due to two point electric 5st.ds, ;lsnplru 63gcharges $q_1$​ 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 3afl):8usjig a point charge as a function the dist):u3a f8slgjiance 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 by*imqw22r o) apj,:a 20cm and a charge of +3.2μC. Point A is used to describe a location 20)* a2y,oqpra2b : iwjmcm from 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 dis qefl+l 078d/,4 smffxgklwk ;tance 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 placed as shown on the corners of a square. Charges of2g2j4gpf9fqv mtto/5 +2Q and −Q, and gqv/29f tp m 45ft2gjounknown 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?