The work done on a beta-minus particle when moving - le0rwy ,fv,8oj2 0stwimi0/n vb4zcit from Y to X is found to be −10eV. Equipotential lines are represented by the dashed lines in the di-o s tj wvvl0c0mz0e/,ir4biy2 w8nf,agram.
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 betwq3mrl)(gs g3feen two parallel plates separated by a distance of 5cm. The potential difference between the points is qls)gr(f3g3 m 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamentrghp57chhh c6hs 3+xu9 qai()- d/0r,zidbv bal forces in decreasing order of b+5d u,viq7g0rh) /a-cxibhhphzs h9cd 6r3( strength?

  A beam of electrons enters a uniform elec j-68pwyjrp5fof.ra2 tric 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 eleklufu1piu5/a(3bfv gq cm;/ /4ysqq0ctric field, represented by the arrows. Which of th3/y0 gu1c5/ mqik;usaqvplqf / bu(4f e paths shown would require the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distance, are shown below, alo.;k 0wnl0q2k ;to8/zp*q4kc kso avcing with the electric field lines around each c08k4z ;k awk nqoov0;s ikq2/ lc.pc*tharge.

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 sa v*5e6fww odo)me horizontal line. w6e*v w5f)od o

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

  A plastic rod carrying a bn m,y/ c /2p:um/azajuniformly distributed positive charge is bent into a quarter-circle. What is the direction of the electric field at point P?2 ,:cza nm /mj/pyabu/

  A non-conducting sphere with lm8v3.aq huf2 radius R carries a uniformly distributed positive charge with charge per unit volume ρ.Point P is at8quahl2mv f3. 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 B4+:94jseqdwsx uf ( rg. What may be represented by A and4ux d:seg +f49rqw(js 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 field represented by the05n9*qtt z gaz6g gtocou+ t2.kd07 pe equipotential lines shown by the lines in the diagram. The electron’s path is shown by the dottuktgp*gn 0t g ze2d cq96a +057to.zoted 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 z8wfox bc 5q8b(-j.j4a;1 r 9i8aoz0ywthiusassumed to be orbiting the nucleus in the focb5 a8zs88 biw0u- f.zj941tih q; rxy(waojirst 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 aneah*ea w t:- wz,5yg ++bkx:a fxfex/p.5,hiwd Q are located as shown in the diagram. Some of the electric field lines due to the charges are shown on the diagram. Ph i,wfwkba5x5 eh+pa x*e t: fgy.z+:a/ -e,xwoints 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 elecy1oln5j9auz )ctjog -, p :hm7tric field and the electric potential due to a hollow conducting sphere vary with distance from the center? The origin of the graph reprcp179-j muh j o:oglty5n ),zaesents the center of the sphere.

  Which of the following is equivalent to the unit of electric potentials3iu8 s 5otaz* differences3su t8a*5z io?

  Two point charges of −4.0μC1)wxg:a lzm 0kwiy;sazr) 2 u*.(rasu and 88.0μC are separated by a distance r=2.0cm as shown in the dgk. ri sl(w0uwr uax;ys))aza 1z:2m* iagram

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 potk9e zhad; )bw40his s3ential 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 liw/,v 3hkyd2px ho g,2ynes are represented in the diagram shown. y ,yghk vp dh,32x/o2w
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 surfnym xo ;7jnz+ co)531hgdg0y paces 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 88lllq8 2k2/ ab4 o9 tsba7mlslj3 srqat 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 disth/x.j qr pi0j-ance r are placed in a medium with permittivity ϵ. The charges are then moved to air so that they have the same foxj p 0.-qi/jhrrce 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 negatgtzn,ha 3:mcuj n63 6pive plate of two oppositely charged parallel plates placed a fixed distance apart. The potential difference between the two plates is V, and the electron reaches the positive pc :,3ga6uzntjmnph3 6late 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 electrce3 9apisgco 1jj162 wical and gravitational forces on one another. iwj2cp1s3oe16 ac 9gj To the nearest 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 correspov.*qdvhbb(kx m xvgr ,iy;8 87nding potentials are shown in the diagram, i.ym xrd( bvvx*v k8;8ihq,gb7n an electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges r1u 9il.y(hhf$q_1$​ 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 thasl 5g0 vpgm/; qbz+6ue vertices of a rectangle. Which arrow represents the net electric f5bza+ lgp0g;/s6m quv ield at the center of the rectangle?

  Four identical negatively charged objects move in an electric fiel5 sdp(jzmid(0 d along paths shown as arrows below. Equipotential lines for the field ad(j i (5msp0zdre 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 c 1y)r l5te4szvonnected 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 the opposite plel szy14)vrt 5ate.
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 3ouf ni/ca/1j 9cm apart. A third charge is introduce3i/fuocn/ 1jad 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 equipotxiq , lhmlj6*;fu(qo j0p2:pjential 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 t52k)8s 4)b.b0af amb lalxfc rhe charges is small compared to the distanmbl8bc)akx a 5fab 42flr.0s) ce R.



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

  Estimate the speed of an alpha particle that has accelerated fryf4h*; :prcd 7sk *bm0 zvyor/om rest in a uniform electric f*yy r7*ov:crmz 4;d0/bh kpsfield E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potential due t.uq 2 t-cz7w h6km+etto two point electric charm7tc6w-+.ktz u tq 2heges $q_1$​ 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 potentialf, b it9y;sipcj/y z5, due to a point charge as a function the distab;p, jt/ysic9 y5 ,izfnce 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 radii 1ucw ga3bp5w9tu0r. us of 20cm and a charge of +3.2μC. Point A is used to describe a location 20cm from the surfa irw5ctg 3bap wu.9u10ce 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 s8gu y ty.90ruyeparated 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 s5o 9tyogpm7pmm8k0..lv go2aquare. Charges of +2Q and −Q, and unknown charges A and B are located as shown on the diagram. t9 g5g a.y2 ovopp78.k mlmo0m

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?