The work done on a beta-minus particle when moving it from Y to X is found to *1d(nclis. rvbe −10eV. Equipotential lines are rsil(. nr*dc1v epresented 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 gives xnhuaq98zk *d5, m.0m/between two parallel plates separated by a distance of 5cm. T naqx9/g*d k.m,ismhu08ve 5z he potential difference between the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamental forces in decreasing orde8;7bg ebbuoekct7 w 2*g0qy8 tr of 7yt gt0u7bkeb;oc*q88b2 wge strength?

  A beam of electrons enters a unifor7we0jiqm:1 xvls52as m electric 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 electric field, redr i wy1p4z5rvye (7l;presented by the arrows. Which of the paths shown would require trdy(y 1irv;z7ew5 lp4 he largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distanz-o ryy9n6e w* 38ecuk t9/yfwce, are shown below, along with the electric field lines around eachyktc /zef*9r ynue 8ww9-o63y 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 charge9xpz:s: eo ,7j6hzzwn of equal magnitude are located on the same horizonth:9,jpwo: enxz z7z s6al 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 charge is bent into a q/x+6 mf pcu70agyal 0kuarter-circle. What is the direction0 a6+07ckuy/lmfagp x of the electric field at point P?

  A non-conducting sphere with radius R carries a uniformly distributed positive p *y,72o fwth uq3qm,jcharge with charge per unit vt3,*o p7mfj2w u qqyh,olume 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 ;w8zl;wbx a ;ou06,9tty iaphcut.9fdue to A and B. What may be represented by A ant6 .w pwc;9u0fothzy a;xta 8 i9;b,lud 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 represen/n 1g:+fnrmoel h7 1znted by the equipotential lines shown by the lines in the diagram. The electron’s path is /hl:n7+r mzefo11nngshown 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 assv nk3 .mqwf0u+umed to be orbiting the nucleus in the first energy level with a speemfnquv+ .3 wk0d 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. --tr4xv q,hcc Some of the electric field lines due to the charges are shown on the diagram. Points P and S are two points as located on the dt- c4hx-c,rq viagram.



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 yf2 p0jbscuj7e wb;c9 c.xv6 -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 represents the center of th jb.cwfvcuc s-6 p7 j9yx0;eb2e sphere.

  Which of the following is equivalent to the unit of electric /zum 0v.y w cto*j:vujs*i,f3potential difference?fvw:vztj o, mcjuu/*0s3.*y i

  Two point charges of −4.0μC and 88.0μC are separated by a distance r=2.0cm ih+8s-qnv u e(tsz1s *as shown in the(-nhez *t1uqss v+i8s 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 enenb9 /k6 cy) ojqeu,76+uvics irgy.
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 represented in l k:9g1zbkxl-p i)k2w the diagram shi:)xk wgkl zp9-kb21lown.
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 equipo5 d/jbxs g3;jctential surfaces 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 at a fixed dip9 8u rx3wr0gb- h4fesstance.

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 permittivity  njqeg;) hyn) s 8tr243wma0jkϵ. The charges are then moved to air so that they hav t4nner wkq)32)0hmja8 ;gy jse 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 from the negagufer u0pz3:e9v z;+r tive plate of two oppositely charged parallel plates placz9 urgf+:uz03;v eerp ed a fixed distance apart. The potential difference 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 and gravitac-5t eyas6 9 7nqg hvx4ya)f/htional forces on e 6syty/7fg95 )-aah4vnch qx 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 zero?

  Equipotential lines representing the correspono:gof93 g d0s;zp xu066lccp sding potentials are shown in the diagram, in an electric field.0c6;:6uf gcd3z slp9oxs0 og p
Which of the following is a correct statement regarding this electric field?

  Two positive charges fp tyao 79e5u1hy0 ;eu$q_1$​ 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 h,ci9 (v46beqx/.e ml1jdo qzrectangle. Which arrow represents the o e cze9qqibx(d1. l4mhj6/v, net electric field at the center of the rectangle?

  Four identical negatively charged objects move in an electric field along pat6cjmnu,myb 66/ bpb, ths shown as arrows below. Equipotential lines for the field are shown. Initially, all four objects have the sa,mt66 yn/mjcbp6 b, ubme kinetic energy.

What is the relationship between the kinetic energies of the objects at the end of their paths?

  Two parallel plates are separ4o,yv7xuj3a5acv uar jxjcw1h7/ b /,ated by a distance d and connected to a battery of potential difference V as shown in the diagram. A proton released fr1vucb ax3 7wx4 5ajj jycr7a vho,/,u/om 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 .jracni r g1elhhpk*7. na*cs;,f:8dmagnitude 2C and 8C respectively are placed 9cm apart. A third charge is 7cipekg ah n*fdcjnr,.;sl8h1 :r.*a introduced 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 equipn 6f:x jdxnwl+k() fs x/x8la2ae-2whotential 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 thetl5s n.ws9 ykc* o2, ylyv1r;n charges is small compared to the distance R. yscvyo5k l.9 ln r2s1 t,;wn*y



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

  Estimate the speed of an alpha particle that has acm,-rg vc:fyx/w ackx .o08g3hcelerated from rest in a uniform electric fieldkoc:y gw8c xgrhaf30v,-/.m x E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potential due to two point fk2 k 9p;d2nz,juf7 .gykhcg3electric charkd. zu,2;g9 ng3kfcjk7f2 py hges $q_1$​ 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 variato :;iw m-gb)gaion of the electric potential due to a point charge as a function the distance r from i;b - gam:g)wiots 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 cj + k xhhe+xg2h.rm5p9x0, naqharge of +3.2μC. Point A is used to describe a location 20+m.x25 j x+hnkaxre9g h0,p qhcm 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 arjs:2tqi94q hn e 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 2 jgf;gjnhh238;g u otrbtbs0,r n2p- io 4ko6the corners of a square. Charges of +2Q and −Q, and unknown charges A and B aj rsrn6np b; 4gt-tk2o 2fgghboo208j,3u;ihre 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?