The work done on a beta-minus particle when movig)wr9s x9pgk* ng it from Y to X is found to be −10eV. Equipotential lines are represeng9sw)g*9kpx r ted 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 sepaelr2un )cl ay+u. h:v2rated by a distance of 5cm. The potential difference between the points is 50V.yv u+lnhu).e ral22: c
What is the average electric field E?

  Which of the following correctly lists the fundamental forc +u,qs8md 1 0rum)vwroes in decreasing order of strenmmruvr+ u8d1,so wq) 0gth?

  A beam of electrons ew75hg6lfxa s5ract 4 6i f1i*enters 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 held stationary in a uniform vertical electric f 3l m/b/ytxr5zield, represented by the arrows. Which of the paths shown would require the largest work to /m35r yltzx/ bbe done on the hydrogen nucleus?

  Two charges, separated by a large distance, are shown b7706 ag xo /ogb i+rp+wr2luluelow, along with the electri/la+g ix u 67gowb+7rr pul02oc 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 u8e2u7pwta dw8my7 p2,tcod0on the same horizontal line.opcuat8 e mpdy,28w0td77u2 w

What is the direction of the net electric field at the point marked X, equidistant from the two charges?

  A plastic rod carrying a unif7 7s ;.lpfx+ spiwvq0gormly distributed positive charge is bent into a quarter-circle. What is the directvs .fx7+ ;pwli qgp70sion of the electric field at point P?

  A non-conducting sphere with radius R carri3d7o:)9g.s h ggxvc kies a uniformly distributed positive charge with charge per unggvs c9 o:.3ixdh7 kg)it 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 field duso/h,+(vubpj0dyu8-uvz+bjg9z7 y v 4ew hn) e to A and B. What may be represented by A and B? o+84 ,wj/j(g vyu-)d nb+7s u9vpbyh0 zvuezh

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 repres p( 2n0ipow99zpeq4v dented by the equipotential lines shown by the lines in the diagram. The electron’s path is2ppipz dvoqw n90e49( 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 too*m.wq1ltv u7ku/jh4 be orbiting the nucleus in the first energy level with4vuth7w/jo mq *.uk 1l 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 sho pi( ;0hfo -bacnjnm:/wn in the diagram. Some of the electric field lines due to the charges are shown on the diagram. Points -mh a nfji/(;oc0pb:n 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 electric field ait(9gpvz 34gmis(4aaddgmi4 + chw:) nd the electric potential due to a hollow conducting sphere vary with distance from the center? The origin of the grgp 4wagcm(zd)39:dhg i 4+si (4tmav iaph represents the center of the sphere.

  Which of the following is equivalent to the unit of electric potential dpcqz3 +pk)ryvt6 9z ntu (m4/nifferenc/ cq k3(zp rz+)tnv 4p9ynmtu6e?

  Two point charges of −4.0μC and 9*kpcjb; 1t(,.mrm vv *f ybdj88.0μC are separated by a distance r=2.0cm as shown in the diagrambjb cdv; v9 j,ryf*t1*(.kmmp

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 potenr6cb5u zd lh(ezx,/)otial 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 poi)ycnq2ls 1bou p -6-mznts on equipotential lines are represented in the diagram shown zsplbucy-1)-6n omq2 .
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 surface/io4,f umrgqni - 9)/7k yseuns 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 chargez ml(lh2 o .;psubvtr 1+y+5zb 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 medium with permittivity ϵ :qiz45fif0 ig. The charges are then moved to air so that they have the same force between them azgffq4i5 :0 iis 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 negativeip-v (6+av fn6ajj;z i plate of two oppositely charged parallel plates placed a fixed distance apart. The potential difference between the two plates is V, andz avn6a v+j-fp6;j(i i 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 exertn*j17(w4t rk( k8f mrln)zuqy 8yswe3 electrical and gravitational forces on one another. To the nearest order of magnitude, what mass must the object have to be so 4l(r 8n7sy q8rm1ynf wz )kwetk(ju3*that the net force acting on it is zero?

  Equipotential lines representing the corresponding p5vju2i4st eco6x 9xlqf( 7 td6otentials are shown in the diagram, in anc5(u6 st t2xfv7qold46jxie9 electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive chargesdql:2 wixd/+s3hr:e s $q_1$​ 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 th6cvc: b f-wanmen- r)6n3r6rce vertices of a rectangle. Which arrow represents the net electric6v6nerc63-m: nr- c)fbc wnra field at the center of the rectangle?

  Four identical negatx82e(p a0br v3q/fidcively charged objects move in an electric field along paths shown as arrows below. Equipotential lines for the field are shown. Initially, all four objects (f0r28/e bvc x3idqap 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 separated4ve9al et y5+c by a distance d and connected to a battery of potential difference V as shown in the diagram. A proton re v+laec59y4te leased 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),(teun i dj0w placed 9cm apart. A third charge is introduced between the two chargn),w0(ud iejt es as shown below;


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

  The diagram shows equvnhkmi3u 9ljmkp:+/ (9u r9ffipotential 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 thekp)c4tupt5.ts3 ds, ap 8xvj1 charges is small compared to the distance )xpsk,ju ap3tcv sdt51tp48 .R.



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

  Estimate the speed of an alpha pacbi)k wo+nt bjz9y6sy,5 8re ql(9)odrticle that has accelerated from rest in a uniform electric field,)oyjzb9(bkseo ld6 c89wyqir 5 +)nt E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the/ kqcv, d/.nlm total electric potential due to two point electric chkdql /nc/,mv. arges $q_1$​ 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 els7tqb2a 3e;vb rxjk4 :o x,7 m+dgjjv2ectric potential due to a point charge as a function the distance r from its centeobe kj7atd +4vmxxsjvb;, 23r: 72gjqr.

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 c 1rim:9x4em3 pkhi:i )cg6ltlharge of +3.2μC. Point A is used to describe a locationhxg)1i4i 6t cmrp3l l9eim::k 20cm 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 distat -wimc3t4i i(3 q6gc+3poycnk5oe 1hnce 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 squ9p x h+7 q*uh*y+npo-adrq u:wq/f* tnare. Charges of +2Q and −Q, and unknown charges A and B are located as shown on the diagr*-h o/ t+q qa7*pu+pwr:*x nnufq9dyham.

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?