The work done on a beta-minus pql ,(i:/ qz+*eibdn hvarticle when moving it from Y to X is found to be −10eV. Equipotential lines are represented by the dashed lv qilq/:+b* (ez idnh,ines 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 distance o90us1af5+2t uvue ,ttoh6eaq f 5cm. The potential difference between the poin+ea9vuh2ttu0f 6 1 u tosae5q,ts is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamental forces in decr kldt b,-m f5v174xovneasing order of str tk57 fvvlx4 obm1n,d-ength?

  A beam of electrons enters a uniform electric field, as shown. c )7 .1mfmvtxkr5p l0x



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 f mwy(julo*t(cg- ae.2nc + -mkield, represented by the arrows. Which of the paths shown would require the largest work to be donej u +-nem(lc 2(m*c-wk a.ygot on the hydrogen nucleus?

  Two charges, separated by a large distance, are shown below, along with the p63v yw*y sof4electric field lines around eac 4fyvpw6o y3*sh 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 localhzg, )vlc8e *-qlgp 4ted on the same horil,c*8v -)4 lzepgl ghqzontal 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 distkh8a 31:p 4xx8-fr(z y ivsctcributed positive charge is bent into a quarter-circle148f3:x8 kpxchtr ayic v(-sz . What is the direction of the electric field at point P?

  A non-conducting sphere wj6 lwkm 5q9(jbith radius R carries a uniformly distributed positive charge with charge per unit volume ρ.Point P is at a distance r from the l m 6kwj9(b5jqcenter 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 equipot kab 9pvk,3n/ no41gxaential lines in a field due to A and B. What may be repr,kkbopa1 xa4/gnn 39 vesented 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 lineip 3tqr5vay rxau.t70/ v:)pvs shown by the lines in the diag:vv / )3v0. 5txpraaypr qi7turam. 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 the nub+ kcifv d15/xa)fny3 cleus in the fn3ak5fxd y+f ic1/ )bvirst 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 located as shown in the diagram. Some of ci yk)0obn*9 ngd::l1bs2xu ethe electric field 1us0 2n)gykd: be*cibxo :9nllines due to the 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 paisp1yh 5w) w+ lpfcm9z+rs of 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 the graph mp9s+ h +w) 5wycpfzl1represents the center of the sphere.

  Which of the following is equivalent to the unit1w jyr6 d+j -wbygma0+ of electric potential differencejwgbm0yd j+y+rw1 a-6 ?

  Two point charges of −4.0μC and 88.0μC a1p -z+hu: avs tpgt*2ure separated by a distance r=2.0cm as shown in the d+g:*u 1sat- uv z2ptphiagram

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 pot,5cc(pet1k jcential 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 ssc(vgif ,8x +represented in the diagram sh (gsvic f+,8sxown.
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 two wnz48q 2ddjejl*6yu7 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 o wbg3un2*q;j jf 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 placed in a medium with pitt ;d:(c5nnty 5 sbc fw(,f)uermittivity ϵ. The charges are then moved to air so that they have the same force between them ;s 5yfc uw,cftb(n:) nt(5ditas 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 o.d4ksy;d);zz vl bs9r8f cjo; ppositely charged parallel plates placed a fixed distance apart. The potential difference between the two plates is sr 4s fdjo.;b);kyvlz;cz8d 9V, 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 and gravfx0b25.p /qjc wd 2h;oheem7yitational forces on one another. To the nearest order of magnitude, what mass must th2fey;qdj 5exw /2hp7cm0.bho e object have to be so that the net force acting on it is zero?

  Equipotential lines representing the corresponding potentials are shown i8v +:al 0)ivri4yanjm n the diagram, in an +0 nv mi)ry4vaailj8:electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges ph+,mnx2j6 zh$q_1$​ 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 rectangle. Which u.t 9:5larvhharrow represents the net electric field at the cr t h9vahlu5.:enter of the rectangle?

  Four identical negatively chcawz8j 87nd ,tq/elv2 arged objects move in an electric field along paths shown as arrows below. Equipotential lines for the field are shown. Initially, all four objects havevnj/8l z q8c7wtd,ea2 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 connected to a b2 mlu.n4upm6fattery of potential difference V as s f.m uu6mp2l4nhown 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 respk8 d m0;hetlp+ectively are placed 9cm apart. A third charge is introduced between the two charg+hpltdem8 k 0;es 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 to a podp zu3.:fh w cj: .ot3h4cz+gdint 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 (xdr q )9:ig9sbn8bbgdwu -4 xdistance g nqbxw8g9(bbdx-sd)ui 4 :9rR.



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

  Estimate the speed of dv; uy 1,1kpdaan alpha particle that has accelerated from rest in a uniform e1u,v;pdyad 1klectric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total ewksvn*9u(s +-+r waaslectric potential due to two point electric chawn+ks-as+r s*9v(uw arges $q_1$​ 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 potential due to a point cwje/q2 ;g ahh1xa,+e- 8smxy rharge as a function the distance r from its cen+ h-8 ja1wrghye q ms/xe2x;,ater.

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 )nb v zhosqeq-8up*uq+ j71/mhas a radius of 20cm and a charge of +3.2μC. Point A is used to describe a location 20cm from the surface of the spq- )jhemu7s/qo +pn qb*z81u vhere.

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 distance r as showne9fx3zl qzh-e(wk: i;.

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 s )7zryv .lae1xhown on the corners of a square. Charges of +2Q and la rv7ey.1zx) −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?