Phys 201 Midterm 1 S. Nergiz, E.Oğuz, C. Saçlıoğlu T. Turgut Fall '01 No :. Name :. Total Grade :. Grade :. y=a. x=-a +q. x=a -q +q. +Q r.

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1 Phs 0 Miterm S. Nergiz, E.ğuz, C. Sçlıoğlu T. Turgut Fll '0 No :. Nme :. Totl Gre :. Gre :. Question : Three point chrges re plce s shown in figure. ) Clculte the coulom force on ech chrge. ) Fin the electrosttic energ U of the sstem. c) Fin the electric fiel vector E t the point A. = =- +q = -q +q Phs 0 Miterm S. Nergiz, E.ğuz, C. Sçlıoğlu T. Turgut Fll '0 Question : A lrge unchrge conucting sl is plce in uniform eternl fiel E 0 which is perpeniculr to its surfces ) Fin the inuce surfce chrge ensities. ) Fin the electric fiel in region, n 3. E 0 =const E 0 =const 3 Phs 0 Miterm S. Nergiz, E.ğuz, C. Sçlıoğlu T. Turgut Fll '0 Question 3 : A point chrge +Q is plce t the center of conucting sphericl shell. Clculte the potentil V(r), where r is the istnce of point locte insie the shell. (Assume V ( r = ) = 0 ) +Q r Phs 0 Miterm S. Nergiz, E.ğuz, C. Sçlıoğlu T. Turgut Fll '0 Question 4 : Assuming tht E z D is given E = A( ˆ + ˆ ) everwhere in spce, fin the potentil ifference Vop where the point is the coorinte origin n P hs the coorintes ( =, =, z=0) (note: A is constnt) P(,,0) Phs 0 Miterm M. Mungn, Đ. Semiz, Y. Skrltos Spring '05 Question : A thin ring of rius contins chrge +Q uniforml istriute - + over hlf of its circumference n n other chrge Q uniforml istriute over -Q the remining hlf, s shown in figure. Fin the irection n mgnitue of the - +Q + electric fiel t the center of the ring

Phs 0 Miterm M. Mungn, Đ. Semiz, Y. Skrltos Spring '05 Question : A thin infinitel long clinricl shell of rius is coil with the z-is n crries uniform surfce chrge ensit σ, s shown in the figure.

2 Phs 0 Miterm M. Mungn, Đ. Semiz, Y. Skrltos Spring '05 Question : A thin infinitel long clinricl shell of rius is coil with the z-is n crries uniform surfce chrge ensit σ, s shown in the figure. Fin the mgnitue n irection of the electric fiel t the following two points ) r = ( /, /, 0) ) r = (,, 0) Z Phs 0 Miterm M. Mungn, Đ. Semiz, Y. Skrltos Spring '05 Question 3 : A wire of length 3L is plce long the -is such tht its left en is t = L n its right en is t = L. The line chrge ensit vries s λ()=. Fin the potentil t point r = ( 0,, 0). -L L Phs 0 Miterm M. Mungn, Đ. Semiz, Y. Skrltos Spring '05 Question 4 : Two lrge prllel metl pltes re oriente horizontll n seprte istnce 3. A groune conucting wire joins them n initill ech plte crriers no chrge. Now thir ienticl plte crring chrge Q is inserte etween the two pltes, prllel to then n locte t istnce from the upper plte, s shown in the figure. )Wht inuce chrge ppers on ech of the two originl pltes? Clerl eplin our resoning. ) Wht potentil ifference ppers etween the mile plte n ech of the other pltes? Ech plte hs re A Phs 0 Miterm E. Arık, M. Arık, E. ğuz, Y. Skrltos Fll '06 Question : A cpcitor is constructe from two squre pltes of sies l n seprtion. A mteril of ielectric constnt κ is inserte istnce into the cpcitor, s shown in the figure. Assume tht is much smller thn. Fin the finl energ store in the cpcitor, ssuming constnt potentil ifference V. Ignore friction. Phs 0 Miterm E. Arık, M. Arık, E. ğuz, Y. Skrltos Fll '06 Question : A semicirculr wire of rius hs liner chrge ensit λ = Aθ. Fin the electric potentil t point.

3 Phs 0 Miterm E. Arık, M. Arık, E. ğuz, Y. Skrltos Fll '06 3 Question 3 : In certin region of spce, the electric fiel is zero. From this we cn conclue tht the electric potentil in this region is necessril () zero () constnt (c) positive () negtive. Justif our nswer. Phs 0 Miterm E. Arık, M. Arık, E. ğuz, Y. Skrltos Fll '06 Question 4 : A point chrge Q is locte t the center of sphere of rius. Clculte the electric fiel flu ) through the flt surfce where the chrge is resiing, ) through the hemisphericl cp. Phs 0 Miterm N. Đnci, S. Nergiz Summer '06 Question : Two ienticl es ech hve mss m n chrge q. When plce in hemisphericl owl of rius with frictionless, non-conucting wlls, the es move, n t equilirium the re istnce prt. Determine the chrge on e. m m Phs 0 Miterm N. Đnci, S. Nergiz Summer '06 Question : A soli non-conucting sphere of rius crries non-uniform chrge istriution, the chrge ensit eing ρ = Ar/, where A is constnt n r is the istnce from the center of the sphere. ) Fin the totl chrge on the sphere ) Fin the electric fiel insie (r < ). c) Fin the electric fiel outsie (r > ). Phs 0 Miterm N. Đnci, S. Nergiz Summer '06 Question 3 : The is is the smmetr is of sttionr uniforml chrge ring of rius n chrge Q. A point chrge Q of mss m is locte initill t the center of the ring. When it is isplce slightl, the point chrge ccelertes long the is to infinit. Determine the ultimte spee of the point chrge. Q Q v Phs 0 Miterm S. Nergiz, T. or, I. Semiz, A. Ank FALL 08 Question : Fin the cpcitnce C of sphericl cpcitor where the conuctor surfces re t n 3 n the cpcitnce etween to is fille with mteril of ielectric constnt κ. Phs 0 Miterm S. Nergiz, T. or, I. Semiz, A. Ank FALL 08 Question : A sstem consists of uniforml chrge sphere of rius with chrge 6Q, n point prticle of chrge Q>0 sitting t the center of the sphere. Fin ) The electric fiel vector everwhere in spce. ) The rius insie the sphere where the electric file strength is minimum. κ 3

4 Phs 0 Miterm S. Nergiz, T. or, I. Semiz, A. Ank FALL 08 4 Question 3: An infinitel long strip (zero thickness) of with w n of surfce chrge ensit σ>0 is ling on flt surfce. Fin the electric vector t point P locte t istnce from the ege of the strip. Point P rest on the sme surfce s the strip. σ P w Phs 0 Miterm S. Nergiz, T. or, I. Semiz, A. Ank FALL 08 σ σ w Question 4: Consier sstem consisting of two prllel infinite sheets (zero thickness) of surfce chrge ensit σ<0 seperte istnce w. The sheets re kept fie. A prticle of chrge Q>0 is locte s shown in figure. After the prticle is relese with B A Q zero initil velocit, fin the spee of the prticle t points A n B shown in the figure. (At points A n B there re tin holes to llow the pssge of the prticle- which o not ffect the properties of the sheets. You m tke the electric potentil to e zero t the plne locte in the mile of the sheets. ) Sheets seen ege-on Phs 0 Miterm S. Nergiz, Đ. Semiz Spring 0 Question : An insulting thin ro of length L is plce on the is etween = 0 n = L, s shown in the figure. The ro crries positive chrge with uniform line ensit λ. ) Fin the electric potentil V t the point = on the is ( > L). (If ou nee it, ou m tke V( )= 0). λ ) How much work must e one n eternl gent to move 0 L negtive point chrge Q from = to = long the is? ( > ) Phs 0 Miterm S. Nergiz, Đ. Semiz Spring 0-5Q Question : A conucting sphericl shell of inner rius n outer rius crries totl chrge of -5Q. At the center of the shell there is positive point chrge 3Q. ) Fin the electric fiel in the region 0 < r <, < r <, n r >. ) Fin the net chrges Q in on the inner surfce of the sphericl shell, n Q out on the outer surfce of the sphericl shell. 3Q Phs 0 Miterm S. Nergiz, Đ. Semiz Spring 0 z Question 3 : A semicirculr ring of rius lies in the plne. The center of the E =? ring is locte t the origin. The ring is me of n insulting mteril n crries positive chrge with uniform liner ensit λ. Clculte the electric fiel vector E z prouce the ring t the point ( 0, 0, z ).

5 Phs 0 Miterm S. Nergiz, Đ. Semiz Spring 0 5 Question 4 : Consier the comintion of three cpcitor #, #, n #3 in the # Q A # A figure. All three cpcitors hve the sme plte re A, n the sme plte seprtion κ. The cpcitors re fille with κ = κ, κ = κ, n κ 3 = 6κ, respectivel where κ κ is given constnt. The net chrge on the cpcitor # is q = Q. ) Wht is the equivlent cpcitnce C eq, of the comintion of these three #3 A cpcitors? κ 3 ) Wht re the net chrges q n q 3 on the cpcitors # n #3? c) Fin the mgnitue of the electric fiel etween the pltes of the cpcitor #3. Phs 0 Miterm I T.Akoğn, G.Aktş, Đ.Semiz Fll '0 Question : A non-uniform line of chrge etens long the -is, from 3 / the origin to =. Its liner chrge ensit is given λ=c ( + ). Fin the electric fiel vector t point P on the -is, t = (see figure). P r = ıˆ + j ˆ λ = λ() Phs 0 Miterm I T.Akoğn, G.Aktş, Đ.Semiz Fll '0 z Question : An electric fiel given E = Cıˆ + Bˆj eists in spce.. Clculte the electric flu coming out of ech fce of cue with sie, seen in the figure. Clculte the totl chrge in the cue. Phs 0 Miterm I T.Akoğn, G.Aktş, Đ.Semiz Fll '0 Question 3 Consier the plnr oject oune circles of rii n 3, centere t the origin ( see figure). The oject is non-uniforml chrge, with surfce chrge ensit σ = C(-/r).. Clculte the totl chrge of the oject.. Clculte the potentil t the origin. σ(r) Phs 0 Miterm I T.Akoğn, G.Aktş, Đ.Semiz Fll '0 3 Question 4 : A sphericl cpcitor hs inner n outer rii n 3. Prt of the spce etween the pltes, nmel <r<, is fille with ielectric escrie κ (see figure). Assuming chrge +Q on the inner plte, n Q on the outer,. Fin the electric fiel for ll rii.. Clculte the potentil ifference, hence the cpcitnce. κ 3

6 Phs 0 Miterm I C. Grci, N.Đnci, F.Nezi, Ö. ğuz Spring ' 6 Question : The chrge ensit of hollow clinricl shell shown in the figure is given ρ = β / r, where β is constnt. The length of the shell is infinite, the inner n the outer rii re n, respectivel. Fin the electric fiel E for the region <r<. Phs 0 Miterm C. Grci, N.Đnci, F.Nezi, Ö. ğuz Spring Question : A conucting sphere of rius n chrge q is concentricll locte t the centre of conucting shell with no net electric chrge. The inner n outer rii of the shell re n c, respectivel. B tking the reference point s infinit (tht is, V( ) =0), clculte () the electric potentil t the centre of the sphere n () the totl electric energ store etween the two conuctors. q c Phs 0 Miterm C. Grci, N.Đnci, F.Nezi, Ö. ğuz Spring Question 3: The thin, chrge ro is shown in the figure hs liner chrge ensit λ = β, where β is constnt. Fin t point P n epression for P () the electric potentil () the -component of the electric fiel (c) Is there n -component if the electric fiel t point P? Phs 0 Miterm C. Grci, N.Đnci, F.Nezi, Ö. ğuz Spring L Question 4: In the circuit shown in the figure, C is first chrge closing S. Switch S is then opene, n the chrge cpcitor is connecte to the unchrge cpcitor C closing S. Clculte in terms V 0 C C of V 0 n C ) the initil chrge cquire C n ) the finl chrge on ech cpcitor S S

Physics 2135 Exam 1 September 23, 2014

Physics 2135 Exam 1 September 23, 2014 Exm Totl Physics 2135 Exm 1 September 23, 2014 Key Printe Nme: 200 / 200 N/A Rec. Sec. Letter: Five multiple choice questions, 8 points ech. Choose the best or most nerly correct nswer. B 1. Object A hs