The work done on a beta-minus particle when moving it from Y to X is found y(uzl2( i)gy 7f ejud-rg1fj3to be −10eV. Equipotential lines are representeg gfy2j )i(7u3d-erzflu j1(yd 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 plajg zrw*e7f c/3v4hog2 tes separated by a distance of 5cm. Thegr2gjeh vo7 34fc*/zw potential difference between the points is 50V.
What is the average electric field E?

  Which of the following correctly l3m8r 80* kb8o wqodicyists the fundamental forces in decreasing order ofr *c8wo 3q 08bymdio8k strength?

  A beam of electrons enters a uniform electric /wj.d : gw2uexv m0,acfield, 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 oexj/h 6m- 8rtelectric field, represented by the arrows. Which of the paths shown would require the largest work o-er 8x /mhtj6to be done on the hydrogen nucleus?

  Two charges, separated by a larq83z6 knq; vx.yr4s qage distance, are shown below, along with the electric field lines arov;kayxq8q6r s4nqz.3 und each 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 q3k2ve .lzjb9q* 2iciequal magnitude are located on the same horizon3b q*l.k2vje9 2 icqzital 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 positive cqe//jacqbb 6b5xv re 39z,th(ed*m n ;harge is bent into a quarte tdb9n *e6zq; q/eavhrm3(5ec,bx/j br-circle. What is the direction of the electric field at point P?

  A non-conducting sphere vrv7gtyw t4ox1- h 1*sf4ehl)tb5 zw e)23av uwith radius R carries a uniformly distributed positive charge with c5h4t t-svlt)uowve e243y) g7h *b1zxv 1wrfa harge 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 linrmu6kxi:tzj5u;, h )res in a field due to A and B. What may be represented by A atj xzrui k6h:u,;5r m)nd 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 sho;ze:9-vw8e:y+r ss,b wvtatwwn by the lines in the diagram. The electron’s path is shown by the dotted lttz:wy-;,va:s b8 wrvs+we9 eine.

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 assume/ dvi6u.m4oug j/xm;yd to be orbiting the nucleus in the first energy level wim/xdmu6 j;4.oi vug/ yth 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 of th9tr g 8iv;rg6q 5lp4goe electric field lines due to the charges are shown on the diagram. Points P and S are two points as located on the diagram.ig; t lqvrogp6 r8945g



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 of6x/ 5hi xhnw:w graphs represents how the electric field and the electric potential due to a hollow conducting sphere vary with distance from the center? The origin of thw: i/5xhx6 wnhe graph represents the center of the sphere.

  Which of the following is equivalent to the unit of electric potential dijp tci u)sw(( m/oq q*6qsfy2 mn-r0s;fference?(j s)m; */20 -mip(ourq6 qf sytswnqc

  Two point charges of −4.0μC and 88.0μC are separated bpl(,zeg i* x 4/k5x kuoy*u3tdy a distance r=2.0cm as shown,tk uk4ip do/35uy*x x(*egl z in the 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 potential7 aegkwt81c2kaf )6 eu 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 point.k: ecibs h iq5. wnij/7w:h*cs on equipotential lines are represented in the diagram shown.7 .s5kibhw*. i:jwei/nh:cc q
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 nb uz:dc ,h0s0 :umg+rgh:c5gtwo 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.w cq0o/w6;gizo ::o sohee-y 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 placed in a medium with permittivijrx2if*z6/k uty ϵ. The charges are then moved to aij uzr6/2 kf*ixr so that they have the same force 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 fr-lh;zaluo5 94us8 iw vom the negative plate of two oppositely charged parallel plates placed a fixed distance apart. The potential difference between twu;si l58uh-z4lav9 ohe 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 electrilylvw28 / y)v7vscdf 5cal 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 actinfvvc8d s 7)y/wl 5yvl2g on it is zero?

  Equipotential lines representing the corresponding potenzddh +c/s/ 4c3s)vr cwh3n1xntials are shown in the diagram, in an electric/+cxsc hn13v c) dhw34dzns /r field.
Which of the following is a correct statement regarding this electric field?

  Two positive chargesowv62jp7c m0oq4:n w wk7i o5 gbpwo89 $q_1$​ 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 part/q+ctn*fa8e wicles are at the vertices of a rectangle. Which arrow represents the net electric field at the center of the rectangae8c/ *tf qw+nle?

  Four identical negatively charged objects move in an elect:pbfc-: l cic;ht rke wfmh4, :i+b26zric field along paths shown as arrows below. Equipotential lines for the field are shown. Ini -:kf:brlc+ :,hf phc;iiz e4t2 cmw6btially, 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 ,2f it.qeupn iy-tr- , 6(kqiaare separated by a distance d and connected to a battery of po ,-,n ikyt. q i-(arqfp26iteutential difference V as shown in the diagram. 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 and 8C respectively are placefxkp0 vjqx, x )tk 6zpse68o7+d 9cm apart. A third charge is intro pf6 8jox)v7kek0 zxpx s+tq6,duced 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 l6 j 0wy(kzwon1ines 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)pdem3kpl-, y 1kc2yvhgw :.cgs ne( 8rges is small compared to the distayc-n esk. e wlg y2pkvgcd mh8p)13,(:nce R.



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

  Estimate the speed of an alpha particle that has ac a+-osuo6soc;5ur3y zcelerated from rest in a uniform electric fielor3oo+a c;y-s6 5z suud E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation o-z2fe 2)d0yxj 7jwfzof the total electric potential due to two point e- jf2) zoez7 wyjxd20flectric 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 pogswnqk 6g)m.ni 0z* -otential due to a point charge as a function the distance r from its cg0szgn6.*wno ) mqi-kenter.

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 rad(-6eotxpz0g)l q dv/4eiz h7nius of 20cm and a charge of +3.2μC. Point A is used tq gtp/d 6ix)v( ezoez0 7-l4nho describe a location 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 arek4jy .rr wi1 2.uxluf5 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 square. Charpeq-0ra8ys6ikq 5 y c)ges of +2Q and −Q, and unknown charges A a -y i8a6kecy0q)psq r5nd 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?