The work done on a beta-minus particle when m( lcncl*;xwc)oving it from Y to X is found to be −10eV. Equipotential lines are represented by the dashed lines in the diag)cccw* (ln; xlram.
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/pjp)m og t5lsm y3e)- a distance of 5cm. The potential dij lg-s3p)y5eom/ t)mpfference between the points is 50V.
What is the average electric field E?

  Which of the following dh5et:/ fbltzya 5-dc )x t atc2.c8*vcorrectly lists the fundamental forces in decreasing order of c2e/-c *8 yb alzdx5vcat:ht)d ft 5t.strength?

  A beam of electrons enters a uniform electric field, as sb6)s+u5ajzp 1wzsmv. hown.



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 w a ,yf2,wu.xj1loa(-s j2zkmvertical electric field, reprewazy(jm1fu-s xj,.w,2o a lk 2sented by the arrows. Which of the paths shown would require the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distance, are sh)xg.nvx-x.-sf ujzn3 ;4k y zpown below, along with the electric field lines around each charguxz3y -xn-xp .gz fjs.4v ;)kne.

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 ezr((gey: pfhpav d0/ c89u z;oqual magnitude are located on the same horizontal line:;z e8p(p ufd(y0/hozrgac 9v .

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 charge is benan4f5 7mgv v y9v;:0equq4pdd qd.)clt into a quarter-circle. What is the direction of thegcqm.p 4ydd4v) aedv fun 7qq;90vl5 : electric field at point P?

  A non-conducting sphere with radius R ca bc)tpb .;b 8ngg 8sz2gese72wrries a uniformly distributed positive charge with c );gebptw 28.ez7ns2b8ggscbharge per unit 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 due to A and B. Wha j k9p5 arp350,tjk zswb0la nkf.:o+gt may be reprb5:,+.zklanrfj0kkap5w9 s g topj 03esented by A and 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 fielkrvjv(/k hs 2s*9ar- ed represented by the equipotential lines shown by the lines in the diagram. The electron’s path is shown by ke rsar2-vhs9j/*v(k 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 witp6*xe)uiy8 i fh an electron assumed to be orbiting the nucleus in the first yf*u8e6ip)i x 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 lov r1 vhb2 5.da,iqlp2zpcx, 0wbvk86pg i6fy-cated as shown in the diagram. Some of the electric field lines due to the charg.wiqpa hv2c, pr6b5z68vxd- f,v 02biglky 1pes are shown 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 pal1)unm d9 to2hirs of graphs represents how the electric field and the electric potential due to a hollow conducting2hml 9)tun1o d sphere vary with distance from the center? The origin of the graph represents the center of the sphere.

  Which of the followinsylx75f 6g li71vu; u tdb)dk,pj 6i6ng is equivalent to the unit of electric potential differenc6,6y bs)lu67jivfnlx d i7d gp15tuk;e?

  Two point charges of −4.0μC and 88.0μ1vxewjw zn8y+ c+ p+e -1pc1jwC are separated by a distance r=2.0cm as shown in thepw8xz11v1w p y-+wnj e+cc+ej 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 potential enymj deh 5vwrpxvw()7t71f 4x8ifk7t1 ergy.
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 represif1 y d9):.y7htxthdvw - ywj/ented in the diagram shown. dyj.: hvfd9 1ywx/tiwt) 7y- h
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 ofhsib/*ym -6fo 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 fixed d):t4nej61puuh rxf h:istance.

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 mediu1glld sgcv.tk )n4 cqswf 3;6j7 q*o)rm with permittivity ϵ. The charges are then moved to air so that they have the same force betvn74cortf3q ljcgksg;q)1 )w 6d *.ls ween 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 kaevtk6a0c 1*i .f1hxo ;m3kxof two oppositely charged parallel plates placed a fixed distance apart. The potential diffe1at0 hk*f13e;cka.m6 kio vx xrence 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 chashwy ezcy4;fh06.s7bp m3+u i rge +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 on it is zerocmp0 y3ih f.4s 7bzshw6e+u;y?

  Equipotential lines represento -r+dsjh2utd gj/:9 amq n26jing the corresponding potentials are shown in the diagram, in an electric 2/ -djj:u dqg+ o6nhs2r ma9tjfield.
Which of the following is a correct statement regarding this electric field?

  Two positive charges o gwe:dlu4h5jsgp yo.z5 t 2/;hw3,hb$q_1$​ 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 rxh )z9ibsduo *e (,-zwectangle. Which arrow repres xb,(w uzd )-9*hoizesents the net electric field at the center of the rectangle?

  Four identical negatively charged objects move in an electrivhib(t78br nl56 l; /fq:4.m/ ggsxbllco gs+c field along paths shown as arrows below. Equipotential lines for the field a 4/ vsb;cn7l8/g+rlg lm(oi s fbtl q:hg5x.b6re 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 connectqj9u 9-*gz;qdspxde ;ed to a battery of potential difference V as shown in the diagram. A proton released from the positive plate gains a speed v whe9;jg qq*e-pd 9us;xzdn 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 respecti*r3kts bu-ju+)w yvt23 .arprvely are placed 9cm apart. A third charge is introduced between the two charges as shown belp)3sv3 wku jtatrrr+ uyb*2.-ow;


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

  The diagram shows equipotenk(8 m rirx:it:6md*dntial 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 charges is small c)7qag m3or7xjzw8cd .(di al0 ompared to the distance R.m jzoga87.rqic x 0d(da7w3)l



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

  Estimate the speed of an alpha particle that has accelerhepz0 1rd1q 0 /ddc/ahated from rest in a uniform elecd/1h1zd p0/rdch 0q eatric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potential due tog d guby 3oifl9p1e )ue0woyub7) u/.2 two point electric charge1 uuwbg.y f 7o 0u)pelg yoed932/)bius $q_1$​ 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 eleclm+g-4e(x k(pw (j igntric potential due to a point charge as a funwm(p(g4+n li-(gejkx ction the distance 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. Poinvnt(soa9) u vcv,spcn/ -jh5;t A is used to describe a locatio5c() vas hv o/cn-u;9tvnspj, n 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 sepj4 cq2s.c;cy y+joka.***sj gagw p9 qarated 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 square. Charges oe6a 6le -qt/cwf +2c/6ee-a6t lwq Q and −Q, and unknown charges A 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?