The work done on a beta-minus particle when moving it from Y to X is 5 nfd7(bk)hk0p3; jrqmi)ijwfound to be −ifj i;5kbkq 7dnj3rw)() hmp010eV. Equipotential lines 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 separat9chk hqs 5u-i(ed by a distance of 5cm. The potential difference betq5hkch-s9ui ( ween the points is 50V.
What is the average electric field E?

  Which of the following correctly lists the fundamental forces inrt4 0cxztxg1)y 8y5ur decreasing order of strength?5r10 r8t x)zu4ycxygt

  A beam of electrons enters a uniform electric field, as showno2ajsqm5p/ r 9.



What effect does this field have on the horizontal and vertical components of the electrons' velocity?

  A hydrogen nucleus is bc2 ye1ii3ra+e 7ya3 xheld stationary in a uniform vertical electric field, represented by the arrows. Which of the paths shown would reqye2i e 173rbcax a+iy3uire the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a largeqlk; * u+vtkflg0(m2f distance, are shown below, along with the electric fiel*f0mvt f( k l+q;kul2gd lines 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 negative charge of equal magnitude are located on twyfpbcxxm9 *7((g* mjhe same horizontayjg * cm7pf9xwm((*bxl 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 c i-.28fuj zodat4nj 7/ocf 7fuharge is bent into a quarter-circle. What is the direction of the electric fieluf4d z7 .j unfo c7a-/8t2fiojd at point P?

  A non-conducting sphere with vmn 3gtoqv7 8/kow,-k6wgj/mradius R carries a uniformly distributed positive charge with charge per unit volume ρ.Point P is at a distance r fm7k8oq6 t,no w/jkg vm/ -gwv3rom 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 line ;m+xktomcoyo n+y4fun 37i 0;s in a field due to A and B. What may be ret7+ mc nm0xy4n+oo;;kf 3oiuy presented 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 el3h fo+blrzx75n etw2s mp;i1( ectric field represented by the equipotential lines shown by the lines in t h3 i2xzrlfnse;+p5 m1bow(7the diagram. 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 md4s8 pzj( +6izy(ino the nucleus in the first energy level with a spd(is+zp jyz 6in4m(o 8eed 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 thev67w,mi( 5vn0vb0cg5p lohiz electric field lines due to the charges are shown on the diagrgm6z v0pn(b5l05i c h vw7v,oiam. 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 e y9tvkz 1;npi:lectric field and the electric potential due to a hollow conducting s1nkz9:vi p;yt phere vary with distance from the center? The origin of the graph represents the center of the sphere.

  Which of the following is equ bxdyuw44 7c 0zf(m4dt:2vtauivalent to the unit of electric potential difference?4tw4 vx04c7ud f: zyt2(uambd

  Two point charges of −4.0μC and 88.0μC are separated by a distance r=2.0p;:kxyro+j p4cm as showxr p4ko:+;y jpn 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 potential energy,imiye xb7g fq/6p27 q.
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 in2.zku. u/j7o g6ts a*rw t8aje th.8tr/uj6 27 uktoaz*ewsa. gje diagram 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 surfacesgo kk.26 gudyc2ef,z-f.x g b7 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 )rkxt9se9k0 vk5ee1-dq l2dlf0gmc(charge 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 placed d18b2jlk y7elksr :1qin a medium with permittivity ϵ. The charges are then moved to air so that they have the same force between them 2 lrl1sqkejb7k8d 1:yas 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 px+wud: u-w5lclate of two oppositely charged parallel plates placed a fixed distance apart. The potential differencudx5+ w-lcwu :e 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 exert6wbn0+ /c+mrjnqt6jv (-kx r j electrical and gravitational forces on one another. To the nearest order of magnitude, wh +txr n6njj0kv6b+c/-qjr(mwat mass must the object have to be so that the net force acting on it is zero?

  Equipotential lines representing the corresponding potentials are shown injj5-9,n2fvlwuvg mri 6*3 oqv the diagram, 3qmvf 6ur5j jonvvgi-2w9*, lin an electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive chargesb2i0fo3 m9.ea:u)r))cccl k(dhi jzq $q_1$​ 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 rec5jlyu (4jup: 1fqa*o ctangle. Which arrow represents thujfo lj:41qauc* y(5p e net electric field at the center of the rectangle?

  Four identical negatively charged objects move in an electric field along pat6cxhnn7 r8dori h7 lf(,8j*jb75 qfgphs shown as arrows below. Equipotential lines for the field are shown. Initially, all four objects have the same kineticg6 *njdfh,87xqirncr h 7857 op(b ljf energy.

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

  Two parallel plates are separatedauotcw b6f3)k uny):2(mg /ku by a distance d and connected to a battery of potential difference :a c/kf3n2 o)wyukuu)tgmb 6 (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 placed 9cm lj:9 6 agkjnk7apart. A third charge is introduced between the two chargesknjl:agk7 6j9 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 point .kj,vc20ner x+ hninqh552qk 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 isd3/tndog v*e 6 small compared to the distancee o/3tdv6n dg* R.



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

  Estimate the speed of an alpfi:d k(k te,dfnf:7 3pha particle that has accelerated from rest in a uniform electric f7,3e:(npif :ffkddktield E=50 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potential due to two poin qlxs86bfgb 7bzj8* x3t el jsgblf*x87b 68bxqz 3ectric 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 potential due to a point charge5 5xenx*xee-x as a function the distance r from its centenx5 eex5*-xex r.

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 +3.27*ddewu/.vz z μC. Point A is used to describe a location 20cw/dvd7e* z.uzm 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 dis7jn * h9qw5mgwtance 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 w oe/lylhc)..of a square. Charges of +2Q and −Q, and unknown charges A and B are located as shown on the diacl. .)elow/ hygram.

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?