The work done on a beta-minus particle whnojmp*733iav ucmr: ,en moving it from Y to X is found to be −10eV. Equipotential lines ar:c m3p3mno 7,ji v*arue 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 h0(8o1 hedak0 e(,0 x dvlyexndistance of 5cm. The potential difference between the points is e0h80ev 0klyeh(oadxnd,(x 1  50V.
What is the average electric field E?

  Which of the following corr e)6ayajh0 0lrectly lists the fundamental forces in decreasing order of strery) l0a6ha 0jength?

  A beam of electrons enters a uniforskx,l w,4kkjvy4fp 2r3 3oef 5m 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 8a m0n l8byin zg;t4js(26 kwkfield, represented by the arrows. Which of the paths shown would require the largest work to be donei k;gnm(j2wnt0lb48 y 8z ska6 on the hydrogen nucleus?

  Two charges, separated by a large distance, armne)13z f uizwl,76zyjcog:5e shown below, along with the electric field lines around each charzlwi n,f c: 3oye7j)zzm516gu ge.

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 negatdz2- gx aq;gw:nt.wl6 ive charge of equal magnitude are located on the same horizontal ggnxq2wa .t 6dl;wz-: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 3uld1 rno01hp bc +ri-distributed positive charge is bent into a quarter-circle. What is d11c3-po ihlr +u0nrbthe direction of the electric field at point P?

  A non-conducting sphere with radius R carries a uniformly distributed posi 4 (;a:nkf8oin v6wrk+qkj* titive charge with charge per unit volume ρ.Point P is at a distance r frr*jw k8 n fki:kanq6o4it+;(v om 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 onik. z77u7bh in a field due to A and B. What may be represented by A and Binhzkbo7 .7u 7?

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

  An electron enters an electric firak+*nos*,;6u .tjhzn9fh9 wz i(kdxeld represented by the equipotential lines shown by the lines inwa x n (+zi;9ohk*ru9 sjth,f z*k.6nd 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/ut7)bzluo.z3 j0b r*lef n*f the nucleus in the first energylj uut3 fo*ezl/.f7bb*nz) 0r 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 locwwe q24z s9 e :,vetm8kqkf*6yated as shown in the diagram. Some of the electric field lines due to the charges are shown on the diagram. Points P and S are two points as locatedf2qw 86*m94s, kqeyeket zw:v 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 howe/r37b9.bz kg af0 azo the electric field and the electric potential due to a hollow conducting sphere vary with distance from the center? The origin of the graph represents the center of the sphere.o90gbk /e a rab7z3f.z

  Which of the following is equivalent to the unit of electric potential differety f99jq zy28:vhlb*/ d-w fmunced9t:fju/8 - h ylqzm2 fvw9b*y?

  Two point charges of −4.0μC and 88.0μC are separated by a di80bs x 2b4+tu3 tyqoeistance r=2.0cm as shown in thy t43si bo8+betqx 20ue 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 poeo2sc *puzgeu - ,zte5 h*x0-o;hny:zsb z9m )tential 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 represented ie l( uazq*6pvq(yn )+9 iyp8,/ykrxpcn the) pz+*y6 r(ql/p e(piy,u yn qav8ck9x diagram 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 r-5p bj;q e ong:. +roc5i:sussurfaces 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 a fixeda o:d/sz x)r.e 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 tjh/ vk: .wie(in a medium with permittivity ϵ. The charges are then moved to air so that they have the same forcewe:kvij. ht/( 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 charged pa .s-lsiq0atjbv7dn: 1rallel plates placed a fixed distance sq:v1batlji0.n 7- dsapart. 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 exert elve8o,kq c7sxmlc+; ewu z(v08ectrical and gravitational forces on one another. To the 7l ; cmv8k+08qvc xueso(z,wenearest order of magnitude, what mass must the object have to be so that the net force acting on it is zero?

  Equipotential lines representing the cor90,, x4alonposvs 1j zresponding potentials are shown in the diagra,,p90v z1o anx sosjl4m, in an electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive chargesa+ 3cc8gxa+r zlcb d:7 $q_1$​ 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 the vertices of a rectangllp k :+7s6*q6ca-n+m hieikgxe. Which arrow represents h* i-p+6 :lqsk6x 7nmgae+ kicthe net electric field at the center of the rectangle?

  Four identical negatively charged objects move in an electric field along pat*o maqs 7v-l kwgb8-mbr+(2q+e f3eeahs shown as arrows below. Equipotential lines for the oqswmfel(g- m+7k 83b2bv-+r e a*aeq 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 separat1lr bbb1,z(8 i4v3m mnrxs5x j0)mhqi ed by a distance d and connected to a battery of potential difference V as shown in the diagram. (5i,lb1jbx1rr0h4x3 zbm8mm)vq sni A proton 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 charges of magnitude 2C an :lqm)pyn 5kqkc57bo7 d 8C respectively are placed 9cm apart. A third charge is introduced between bp: lq7ko) q7nckm5y5 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 tov )8luyqzxlwub 81a+qm-n/; d 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 charges is small compared to the dd(l8 +/xz,k lx2b wehiistance R.e8kxb,+l2(xdl zi hw/



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

  Estimate the speed of an x/avbm ,r3(y 8ru7 zp3mf416 juvn ycgalpha particle that has accelerated from rest in a uniform electric ficx3v gn / u, m7aru86fy13r zjyb(4pmveld E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potential due to two poio/.na ky,e /hynt electric yko.eayh,n //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 varisez ak0p(5fmpwf4 ts 9).w, ination of the electric potential due to a point charge as a function the dista.ewsp sz 5 paf(,49)km nwift0nce 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 uoq w4zn)os()x lwmw *xq.3l8charge of +3.2μC. Point A is used to describe a location 20cm from the sw.q3*qou4os zx8(mw )xnw) llurface 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 distanc nkw6 yqx.ze /,iyoz5.e 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. y s)ub)2lg ci.2prx yh u+ cld*/k+bykv;gg0 as shown on the corners of a square. Charges of +2Q and −Q, and unknown charges y) +bdkc. 2.uvchi gr;xkyl y*)0+ gs gb/up2lA 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?