The work done on a beta-minus particle when moving it from Y to Xw;, de4lm3u7fvf0 bfbe7dq uz79- ilb jo:y.m is found to be −10eV. Equipotential li mbmo4wqbb-fylf,dl e7u7j uzd:9v0;.f37i enes 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 separa*0p7zy :bhq cou tlb.6ted by a distance of 5cm. The pote:lh oq tpy07cz6*u bb.ntial difference between the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamental forces in decrea 8o.g v1ouz8dssing order of strength?g 8uzov.d81so

  A beam of electrons enters a uniform ele /jig: k9/2pfd 5ku janc8:sw j0fl+itctric 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 electrrvzvubjn)g3-ws85w : . - f4z0alrxe wic field, represented by the arrows. Which of the pathws j wu 4wfbr- )zvve3-0a8rx:glz n5.s shown would require the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distance, are shown below, along with the 6hu6aq4bls 0x nee;6f electric field lines around e; xeulh40a6fq6s6bne ach 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 locatedcknc 0kkrvi17 e g.ag,; )mwr/ on the same horizonta0cckr )a ge,mgvw r17k/k.;inl 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 distributed positi)k bg 3pka(2pave charge is bent into a quarter-circle. What is the direction of the electric field a(p3gab )ka pk2t point P?

  A non-conducting sphere with radius bwwlh,;m.n 5m0l zn+dc hx4(n R carries a uniformly distributed positive charge with charge pe.wl l hm;05dw m,cxn+bn4 nz(hr 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 xs4lu2b.la1i +e )rppin a field due to A and B. What may be represented+ i 1x ua.p2rlbel)s4p 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 field represented by the equipotential lines s, hoynlq 14xbz;ao r5*hown by the lines in the diagram. The electron’s path is shown by txn; rh5olqab,4z1y*o he 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 a ytya 4obesqmm++k /5)n electron assumed to be orbiting the nucleus in the first enerea4ms)m5tyyqko / b++ gy 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 show 2sb*cke( 8as7kh4eg zhx5,x wn in the diagram. Some of the electric field lines due to theh25(ca7bswk s*xzx84 ek,heg charges 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 pairs of graphs represents how the elec8 cdknr,9c/mut4t/ju tric field and the electric potential due to a hollow conduct4kj u n,9/ cct8udr/mting sphere vary with distance from the center? The origin of the graph represents the center of the sphere.

  Which of the following is equivalent to the uni1vx84s.gv k 7vj-r+ msh8jzbnt of electric potential difference? sg471v8krzm v8 .ns+-hjxjvb

  Two point charges of −4.0μC and 88.0μC are separated by a distance r=2.0cm as shv3voa j gtdpm6vn/2(9fw l 5e.own in the diaglmnt dv . w93avoegv6p5jf2/(ram

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 ener9gy9i3osz n /zyv37pu c5nmy2qs 1 ue+gy.
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 re -y (. z/ipzj./aej) a -haqn.nqz0roupresented in the diagram showyaeo z-n/ )ji a.pj( -0q.n. qrzz/haun.
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 surface8j-b(cb8cm m is 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 char)+wx+ox4l0 ev2 u mgmkge of 20nC are held 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 distance r are,y6jtxlonk ::ef x762byb 7zz placed in a medium with permittivity ϵ. The charges are then moved to air so that they have the same force between them as : tex,l7xk2 bo7yy: zj6nf6bzthat 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 negativrcq2 ;kh3x hw2e plate of two oppositely charged parallel plates placed a fixed distance apart. The potential xh;3wqh 2r2 ckdifference 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 electrical a(b/c1 ;n9d3iqssof nknd gravitational forces on one another. To the nearest order of magnitude, what mass must the object have to be so that the net forc9kcsq nsb3 /(difon1 ;e acting on it is zero?

  Equipotential lines representing the correspondin ( q8kdfxdrwd5wq:,5ng potentials are shown in the diagram, in an elec k 8( r:d5x,fqqdnwdw5tric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges9s xxo fi9fedw ,5i7p) $q_1$​ 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 verq)6fus ) ykii;tices of a rectangle. Which arrow represents the n6u; siifk)) qyet electric field at the center of the rectangle?

  Four identical negatively charged objects move in an electric fe 0bm.iasxv1un 4,lb(ield along paths shown as arrows below. Equipotential liu 0l. v(ibna4m1e s,bxnes 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 s8 e7jt yx, ,pbe pr,l7nhol5f,eparated by a distance d and connected to a battery of potential difference V as shown in the diagram. A proton released from the positive plp 5yx,hr lfl,n je t7,7peb8o,ate 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 and 8C respectively are placed 9cm apart8oe9xnz )zkk( . A third charge is introduce)z8 9ex(okknz d 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 equipotential lines dpq1xk( n+rd ,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 oqz,.zott6*fk 7oc4dof the charges is small compared to the distance. fk o ,oqz76todc*t4z R.



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

  Estimate the speed of an alpha particle that has accelerated from restuu) /oj (uzmm v6tairlx7u +hq t/4l57 in a uniform electric fiel 7 +u u/hm(vol)z6a7lx54/uttju rqmid E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potential due to two p q;kh va-*6tdra,i)d: iia v2uoint electrii2)q d *aravhuki6- ;d,tv a:ic 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 pot *wn ;8b fr)eic.ubf8eential due to a point charge as a function the distaru 8fbb*f8ec n. e)iw;nce 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 +3.2μsq sgdv3qvg+ k* k(6i0C. Point A is used to describe a locatio0 vqk3gk(g si +sd6v*qn 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 separated bjzwfkkg03(rq bi14v n r )is8la2e4o/y 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 sq:cvh,bso dax+gc5* j8 uare. Charges of +2Q and 5 bg8d:*ahv jscc,xo +−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?