The work done on a beue qg1;mig13tta-minus particle when moving it from Y to X is found to be −10eV. Equipotential lines are represen1uq3;mi etg1g ted 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 parala35,8 qw ,vto+zvk: f v;akyfulel plates separated by a distance of 5cm. The potential difference between the points is 50V. vkzq:k;, ywt a5 v3 +ufaovf8,
What is the average electric field E?

  Which of the following correctly lists the fundamental +- w 6.e kgfzo-kixr2g.+fhtfforces in decreasing order og wx6zt - +i.ohk+r.2f-effkgf strength?

  A beam of electrons enten )/ :q v:zjc6 /tv,xmdkoeoo-rs a uniform 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, 5*xycfau 6,wk8e.x varepresented by the arrows. Which uaxkv,8waf5*c6 ex. yof the paths shown would require the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distance, are shown below, along wi829ebj3bmwyzko h *xf6kk9dpy8j bvb1-*a -lth the electric field lbd8jh9f*6xbv-3lke bkzjw1o2b*k am8-p y9 y ines around 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 negatisjw:mfs k9tou8)e*wx vh 2s4x2d 6 :asve charge of equal magnitude are located on the same horizonta sewsuomvd) f:x2 9sja*4w 6t h:kx82sl 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 :w*xgv qqoph e0-,7) o:mbupdpositive charge is bent into a quarter-circle. What is :-e dbxm)p: ow *gu qpv,7oq0hthe direction of the electric field at point P?

  A non-conducting sphere with radius R carries z,k.fju *k:uf44 gfbqjm 6d )ba uniformly distributed positive charge with charge per unit volume ρ.Point P q jjz gk6udu*.44ff,kmbf:)bis 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. Whv1+ju ai5j7rbz4m9*6y xy y nrat may be represented by A and um viy1b5r497jy+nax6 yzr*j 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 htk+aio; /:(5q ml-ljx ynj3kby the equipotential lines shown by the lines in the diagram. The elt omk5xa kn-i/;l+3 h jlqj(y:ectron’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 orbiti(yqf;(.ho4 fxy b*jxgxfci 10ng the nucleus in the first energy level with b*. fx ; gyxxio4 cqh(y(0fj1fa 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 dqko*12kh(0vo c0rsu ziagram. Some of the electric field lines due to the charges are shown on the diagram. Points P and S are two pointsvrzh*s(o q2k0 cuok10 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 ymlwp+.v5e jm2: s/m/gqu6i-p jf j+p graphs represents how the electric field and the electric y .i: m+wq mpjjpeu lgvpmf5-/ /6s+j2potential due to a hollow conducting 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 unit of electric potential differenfr2s pzoq/3oy(twk . t+lt1b 7crzwttqfo/ptl 2( 71yo b3k +s.e?

  Two point charges of −4.01m -wc(e yg rsm6fo+6vμC and 88.0μC are separated by a distance r=2.0cm as shown in the diagramo (gsev6ywf-r+mc6m1

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 energy.6 -pos 5hp7znbnv 5(ym
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 fougg7i c heu7,g7 r;2x,rvo r-tyr points on equipotential lines are represented in the diagramxi,ce houv- 77,r7yggr2r tg ; shown.
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 su,:v s((wnfbu crfaces 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 m5q, szfzk/e: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 permittisxg o 0r/k ,p8nbrz/2svity ϵ. The charges are then moved to air so that they have the same force between t,s/ rxzpk08osr/ n2g bhem 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 ne:lw ldzup 1n 0yl*3o3kgative plate of two oppositely charged parallel plates placed a fixed distance apart. The potential difference between the two plates is V, and the electr13 ldw0 kzl*yuo3lnp:on 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 ig6-6dqm10rit lk-g gl h uhuhs2 ,7k-charge +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 nets0iuu iklrg, g -d2 -klghmhh-167t q6 force acting on it is zero?

  Equipotential lines representing the corresponding potentials are shown inp*sr wo0ljn5j:l v9y1 the diagram, in ao n:5vprj ys*0wl j91ln electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges fpi 7jme3q;e9 $q_1$​ 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 rectpe49wlpw6okbm ;g .jin1sq 5,angle. Which arrow represents the net electric field at the center of the re9e6mikjwwlg .,q 5pbno;p4 s1ctangle?

  Four identical negatively charged objects move in an electric field along patln a b)m1p)e,quin e:y*p12)t- jwsh phs shown as arrows below. Equipotential lines for the field aremn itn)a p1,b2:)ppjl-ywe *)q1ue sh 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 anbha uhhmk(ig m65vo l- g2kxx+-c+70qvs ys16d connected to a battery of potential difference V as shown in the diagram. A proton released from the positive plate gains a speed v when it reaches the oppositlovmk h g q+sh67+0xms6bk1-v(x c iy5-ag2hu e 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 sf8re*j620+sz li*xoxnaj 6gand 8C respectively are placed 9cm apart. A third charge is introduced xfl0*8s i6rj gs2n aj*6zx+eobetween 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 equipot.3e+1ibfxvf yjw. rgy .)mp7;ztd,) y1ha thyential 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, ty0im p;91wtsp he size of the charges is small compared to the distance R. 9wy 0i1pmpt;s



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

  Estimate the speed of an alpha particle that has accelerate)q;4dgw n4jdnu lj23ff;/k wid from rest in a uniform elec4j4;uw 2idgkn;/fj dl) wq3n ftric field E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of7p1 j vtrmkznkb:p81* hw+6om the total electric potential due to two point electrikok8 hb* pjw7m61+ v n1trpmz:c 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 p8adqo:s:m ah o3h**jt otential due to a point charge as a function the distance r from its centqa :: *toj*das3m8ohher.

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. qh: k/2k nc)aiPoint A is used to describe k hni2ka :)q/ca 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 are separated by a distance r as shown.)n-aa j /4xoxe

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 onha 0vb+1 ohub4 the corners of a square. Charges of +2Q and −Q, and unknown charges A 4hv+ob0 1b uhaand 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?