The work done on a beta-minus par -sfjmfwni1x 2f6s1f+ticle when moving it from Y to X is found to be −10eV. Equipotential lines +1 s2xs jffw-6fimnf1are 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 byym )yn+ub+ot( a distance of 5cm. The potential difference b tmb)nyou +(y+etween the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamental forces in decf44ol mdgo8m) reasing order of stren) g4omfo l48dmgth?

  A beam of electrons enters a uw(gm ow1j .0n5zy;n3dusop 8 zniform 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 statycjt0.1mwqet e6j ejlv-w9 d6cfz *8zs7,j5m ionary in a uniform vertical electric field, represented by the arrows. Which of the paths shown would require the largest work to be done on 0yf75ewe.mj9 je t jmj1w6zqd6zt,l sc c8v*- the hydrogen nucleus?

  Two charges, separated by a large distanu0gp;js x *ifu7yv+l0ce, are shown below, along with the elec0y+ui usj vfp0; *l7xgtric 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 the same horhr1q p *dwf/2k j0n.atizontal line. *0rj1wfhdatkn/q 2p.

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 chttedgd 6bgc+4o0:b0narge is bent into a quarter-circle. What is the direction of the electric fiel64ogttd:ncg e+db 0 0bd at point P?

  A non-conducting sphere with radiuze*u/z8h(nh 1vq-ys ib2cbv9dr(tz:s R carries a uniformly distributed positive charge with charge per unit volume ρ.Point P is at a dista1d-bt ((8zeb2 ch/vzusyh *:qr9v inznce 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 mcau(vvh ;)jd d +b7q+a field due to A and B. What may be represented by A an vcj;hdv(bua+q 7+m d)d 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 fieldy; uv+du f :8ik,ychp9 represented by the equipotential lines shown by the lines iuk :f;c d hpv9i8yu+,yn 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 nucleuetnz1p9k5,/nh1 eu j as in the first energy level with aaj1he /n1p5,9 teunzk 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 locate 7 d76itiusnx-d as shown in the diagram. Some of the electric field lines due to the charges are shown on the diagram. Pointsduni6x t -7si7 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 representsc*h3a6w m9 cl gomy+u0pkc.,q how the electric field and the electric potential due to a hollow conducting sphere vary with distance from the center? The origin of6w+q 3phyauc m .c,klmcog0*9 the graph represents the center of the sphere.

  Which of the following is equivalent to the unit of electric pvwtxts/8h u13otential differencv1 ut/s83xwthe?

  Two point charges of −4.0μC and 88.0μC are separated by a distance r=2.0cm asp+z 8 90lyhncc shown in 90c+ y nchpl8zthe 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 potentnfubjp 7(3t9y ial 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 lines are r3.7)zf.u cgmb*s grf iepresented in the diagram sho u3*i 7zb mffcs.g.rg)wn.
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 equipoteh n:h:l24onlontial 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 8fo0/ mg/wdo,ckypt(2; wu hoh-;kic 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 withx.mig1 uka ptm +nr+;e s+/rd* permittivity ϵ. The charges are then moved to air so that they*dkx;+merr.g t1 su+/p i+anm 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 oppositely cwh1 ;),sfnb5*-d.nzk 7uor q7ogzo ssharged parallel plates placed a fixe,7rh17s) ; zunko ofnz*sgq. dw- 5sobd 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 objszt nr/0zl ,x4ect with charge +e exert electrical and gravitational forces on one another. To thrzn4,x0/zlt se nearest order of magnitude, what mass must the object have to be so that the net force acting on it is zero?

  Equipotential lines rep(pm 7i8j. g7k 7eeqdkjyye ;o/resenting the corresponding potentials are shown in the diagramio;e/k j7.7gyqeym8kd7j e( p, in an electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges.e ko/f6+mk ebq bxoa .0zj28z $q_1$​ 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 arcgdt5 j3t6 rmbj+3bu;pkg8n v7s. 7gye at the vertices of a rectangle. Which arrow repretbrj5m;78.3nygk tvbs+7jd 6gc gp3u sents the net electric field at the center of the rectangle?

  Four identical negatively charged objects move c1o2,g:6g vgms) ymof in an electric field along paths shown as arrows below. Equipoteno)g6fm,gyvso 2m:g1ctial 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 dt hg+) rbas6-d and connected to a battery of potential difference V as shown in the diagram. A proton released from the positive plate gains a speed v when it reaches - )h+sta6gdbr 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 apart0 mf6;znx ns0s. A third charge is introduced between the two charges as shown belo mssnzx00nf ;6w;


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

  The diagram shows equipotential lines due to a poin bp) b5r0;mtxh5 ezyf5t 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 compared to the e dt9* /z:p)v+s5qhhbpesq/adistane:ve 95hda/)b*q /pzs q+ shptce R.



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

  Estimate the speed of an alpha particle that has pb+(apz 9k d(tj;ru2eq 30ktw p84xgzaccelerated from rest in a uniform elecp80;3t2 (kpjz9wx(zdt+ ek ugqrabp 4tric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potentia-wl9i8 h llyd-s3ld (gl due to two point elect y(s-9dlh w lgd8l3i-lric 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 variation of the electric potentiapzw z h1jfp,fqf0p 47:l due to a point charge as a function the distance r from its centefj,pzf 71f pwph4zq0:r.

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 20cnt4u -d9og* jbm and a charge of +3.2μC. Point A is used to describe a location 20cm from the surface of the -49d*bgnju to 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 p u0vm1o(0u sg5v cd+bdistance 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. Charge 5k eywg2qw,fuz/ )xs/s of +2Q and −Q, and unknown charges A and B are located as shown on the diagram.k5y)u/gw x,/qzws e2f

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?