The work done on a beta-minus particle when moving it from Y to X i j- p-q3d ptf73aeub)bs found to be −10eV. Equipotential lines are represented by the dashed -3q3bapfb- e)t dupj7lines 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 parallg+yfys 39p d42ial,h eb2b6a yel plates separated by a distance of 5cm. The potential difference between thgbydy49 b+ fya26esplh ia2 3,e points is 50V.
What is the average electric field E?

  Which of the following correctly lis10 jcc5sk1np xts the fundamental forces in decreasing ordersxnp1jc 50 1ck of strength?

  A beam of electrons enters a uniform electric field,/tf:n6kzt 5g pdw,eg 9 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 8hfaa*er5e rwe o8ux+0zi : 6iuniform vertical electric field, represented by the: 8re+ iweur65hfaai 8 ozx0*e arrows. Which of the paths shown would require the largest work to be done on the hydrogen nucleus?

  Two charges, separated by a large distance, asr 9osv biq 8yi+*d8fw y6+u0d;f2zoyre shown below, along with the electric field lines arf+ys8y i9bzvwsoi ur0y q* df +82d6o;ound 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 the same hs+ cxv. +am ep53oie;c.dfbu 3orizontalv cs3ub+pcee d.5+xio;3.fma 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 chqq -inx ;eqtxjanyl;bl --8j ju6i0(/arge is bent into a quarter-circle. What is the direction of the electric f/j6-n(bj;8eqjxl -lq;tuqnia xiy -0ield at point P?

  A non-conducting sphere with radius R carries a uniformly distributed pos nfnut.. g iauvw/eyt--w38d1itive charge wd8f ug.- 3tw1- ituvew.y/n anith charge 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 lines in54o .jhzx)+.w3 ywxeqkuoxf, a field due to A and B. What may be represented by A and 53fko exw +jx.q zw)uy.xh,o4B?

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 shz/k3e+sny 1/bh ewe, nown by the lines in the diagram. The electron’s path is shown by the ,s+1 /ey3 nzbk en/ewhdotted 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 a,ny-47gabght wjl5 -b80 syu zssumed to be orbiting the nucleus in the firs-40u 5g ljh7,s ybzybgna8- wtt 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 3p;4eb. -z:bitmhd wq*gz /yyof the electric field lines dybbh:eiz4-w . z q *;dt/myg3pue 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 pairs of graphs rel qkh/7j oytotj0* g:.presents how the electric field and the electric potential due to a hollow conducting sphere vary w ygt/ktjo hq j0.7o*l:ith distance from the center? The origin of the graph represents the center of the sphere.

  Which of the following is equivn1hnoic ju 0-nx ,jy96alent to the unit of electric potential differencen1-nioj6nhu 0 ,c j9yx?

  Two point charges of −4.0μC and 88n5smcildmo(z d( j :2x2it)u9 .0μC are separated by a distance r=2.0cm as shown inj (zs:t2( o du)25xm idnl9cmi 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 potentilh j jqz6,uo* uw 28v,2ziz +ofn6pxt4al 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 er 4:0+e7krspxugs5 gz quipotential lines are represented in the k g7gup0zse4sr:rx5+ 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 sb)n td+d/ay2ux pxo(7x irf5*urfaces 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 oa 5wgy 2co .7,udp(jdvf 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 p*g: (m)in6b 2tvxamxgermittivity ϵ.(2gvxbmatnm6:*i g )x The charges are then moved to air 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 releassg1kv1(jaz2 q ed from the negative plate of two oppositely charged parallel plates placed a fixed distance apart. The potential difference between the two2s(1aj1 gqz vk 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 gravitj6zc:7-gfu(x o pz5oh ational forces on one another. To t:g c(opjz6x57ouz-f hhe nearest order of magnitude, what mass must the object have to be so that the net force acting on it is zero?

  Equipotential lines repr8y/pj ,t b;xxdesenting the corresponding potentials are shown in the diagp/tj 8x,yx; dbram, in an electric field.
Which of the following is a correct statement regarding this electric field?

  Two positive charges uw goy0es3asemgg 1;ny *);x o6y7nd0$q_1$​ 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 thw2 vc7yd6:d(h0,i + uquncpzh e vertices of a rectangle. Which arrow represents thecp6n7vdui0ch2+qdhz w u,(: y net electric field at the center of the rectangle?

  Four identical negatnd(jt f+1w) cvbd(j( xively charged objects move in an electric field along paths shown as arjf cvd bjt)n (w((1dx+rows below. Equipotential lines for the field are 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 separ7p1dwb1j7qlg( *lnlk ated by a distance d and connected to a battery of potential difference V as shown in the diagram. A protgqnbj1 l7d1( 7w*pkl lon 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 :e h kd/v-n1(w4tz emm n,tsx3and 8C respectively are placed 9cm apart. At env1m4x/( 3mnw,-k :tzehds third charge is 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 equipotentl+;6m tj1bcytial 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 the charges is small comparxbgys; kvzi885 nx)p;ed to the distance n)ps;zx8v;g ikxy b85R.



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

  Estimate the speed of an alpha particle that has accelerated frd+jhutttqosd,y( g: ) g nw1);om rest in a uniform electric field E=5:1 (t,ntg) ;hdyjqs t )g+woud0 $^{−1}$ over a distance of 2.0m.

  The graph shows the variation of the total electric potential due to twy)+leg9p4k v cyvgxq2 h 66gj9o point electricl46xgvk 9+9jg62hqy egy vp)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 potentim y1xda/y o+h-bn;ym ;al due to a point charge as a function the distance r from its centx /;h+dy;yma myon-1ber.

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 +3.2μC5 yx0/qg.ntso8ymui h2d,9 op. Point A is used to describe a l,o5y/0t.hnqpyo9 d82iumx sg ocation 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 showzg-j8z w aeg/uf7m0,un.

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 squgei)rxdu (yls m9 c83;are. Charges of +2Q and −Q, and unknown charges A ani yl ds)mg8ux (;3rc9ed 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?