The work done on a beta-minus particle when moving it from Y to X is fouua2cqb(k:6 ndwra )a7nd to be −10eV. Equipotential qa)bn wcd:u6ka a27(rlines are 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 separ fzq2:qbm(dn x-prud4b.f; x9aads9 /ated by a distance of 5cm. The potential difference between the(qp-n4zbu9aarm q: ;dd2f/ 9.b sfxxd points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamental forces in decreasing or b9(8kzlhydq7der of streqhdy k78 9zbl(ngth?

  A beam of electrons enters a uniform electric field, as sho v:eekyk,eu 2:wn.



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 verticqbw:jwfucj w/ //-: xxal electric field, represented by the arrows. Which of the paths showw-ujcxb w:: /j/f/qx wn would require the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distance, are qp:sxw(ij q4 1shown below, along with the electric field lines around each q jipxs (wq4:1charge.

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 magnijoa6qe3rdv;q nv;21 c tude are located on the same horizontal lineon 1a;c2qderjvq3v6;.

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

  A plastic rod carryi5 vqdni:*vhe. ng a uniformly distributed positive charge is bent into a quarter-circle. What is the direction of the elecd qvvh*.5:i entric field at point P?

  A non-conducting sphere with radius R carries a uniformly distributempdzjb 6( - l+m5za6hsd positive charge with charge per unit volume ρ.Point P d zljs z5a6+pmb6h-m( 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 due to A and B. What may be ).sg:fcuqy/7qhf ;cm represented by A and Bcuf:mfq .c gh;s /)y7q?

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 equipok r,z a90qi+88 pwjrfitential lines shown by the lines in thew,af8kzrir0q 98 +p ji 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 ass f4rs ;ojkvyj7 sp)+ b-6riwlp+5hbw 2umed to be orbiting the nucleus in the fip rr-wsov jj+wi7pl4hkb 2b) sy6+f5;rst 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 the diagram. Some.6 brn giju11v of the electric field lines due to the charges are shonb6j 1v.urgi1wn 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 electric field and th o*seo8zs+ c-u7skuj*q5h)po q4c7z ke el**sskh+qoe-7)z z 4o q5 8cojsp u7ukcectric potential due to a hollow conducting sphere vary with distance from the center? The origin of the graph represents the center of the sphere.

  Which of the following is equivalentc6 ox71-fll g9 vkrzi5 to the unit of electric potential difference?5vzxg71l- cifrl69ko

  Two point charges of −4.0μC and 88.0μC are separated by a distsz z4imi19q/e ance r=2.0cm as shown in the diagrims4z i1e9 /zqam

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 potential enepa4 c7vou1e0brgy.
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 poiyrcx0vug9*ct1x ;g5qq p)h7 x nts on equipotential lines are represented in the diagram s g; 90uq1*)g ytrh5cv7pcx qxxhown.
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 of two chargx57)or 69l8 jdnz dzfaes.

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 heldf 4-; qolnfg*e 2tptw: 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 distance2ah pibz, x:,b;hn:x lahf(0+r 2l brn.+dqdn r are placed in a medium with permittivity ϵ. The charges are then moved to air so that they have the same force between them as that in the ,.b2diq a2bdah nxxrlb;l+nnz+ rhp(:0:f, h 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 charged p6jx6v qzj m3xr5i./ fsarallel plates placed a fixed distance apart. The ps6xv56jr.z3i m/ xfjq otential 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 wi+bkv;6 b,b4 jydou 8yath 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 force acting onk;buoy8 4jba ,6vb+yd it is zero?

  Equipotential lines representing the corukau 2u3 btvi m0).k0tresponding potentials are shown in the diagram, in an electric fie 2.uab0 uv 03uitkmkt)ld.
Which of the following is a correct statement regarding this electric field?

  Two positive charges 0 +y o*qg8emxod:q-.xy l fve.,ywxbg(d/ (gc$q_1$​ 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 particle+6 j-qa:dp eg;ktwzgr 8if y/;w k84khs are at the vertices of a rectangle. Which arrow represents the net electric field at the tkkhq-e8 6iy/ k;8jr:d wa 4gpgzw+ f;center of the rectangle?

  Four identical negatively charrmyu3 r04 6vjrged objects move in an electric field along paths shown as arrows below. Equipotentium vy3rr6r40 jal 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 d and connected to a fjja)r4q- sk-battery of potential difference V as shown in the diagram. A protj4)- a-skfr qjon released 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 chargesja(e2b875y5bpyfm, pm pde i- of magnitude 2C and 8C respectively are placed 9cm apart. A third chargey(fpjp aed5m2ibp8 ,5 m-7eb y 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 equipt;2 k:de4js0kysx2 qd*f2rypotential 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 the cha,2 tx2is n:kl w03ub oq(4vbb; igpo)mrges is small compared to the distance R. mu2 bvgi (3:obo qx;b, 20lwspni )4kt



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

  Estimate the speed of an alpha particle that has ax3lm;41 e 8/wxh ezikqccelerated from rest in a uniform electric fieldx/iqzm e1k h83ewxl ;4 E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of tbv 6wrp jt1fp.j)+4eb he total electric potential due to two point electricp.)bj6e4+ vjrfp 1tb w 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 var nhrn ciwy8*xj-az;pl 117 p-.9ksmt xiation of the electric potential due to a point charge as a function the kx-r*c w;plj181tn s9m.zhyx ainp-7distance 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 20cm and a charge of +3.2μC. Point A u )b -ic0 chzz; 6h-js6urke1vis used to describe a location 20cm from the surface of thez)kcr-ev 1zuc u- j6i06h;hsb 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 ar7bvay l/ ze+wgokga 3:q1xv.( e separated by a distance 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 squar-y(ki3sqq ws:on r w;,g)6/exwxp p5re. Charges of +2Q and −Q, and unknown charges A and B are located as shown on the diagram-,x wpw5 xi6wgyeno 3) /;rq:pkrq(ss.

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?