Physics

posted by Annoyingmous

An infinite straight wire carrying a current I=5 A flowing to the right is placed above a rectangular loop of wire with width w=11 cm and length L=27 cm, as shown in the figure below. The distance from the infinite wire to the closest side of the rectangle is h=1.7 cm. The loop of wire has resistance R=0.31 Ohm.


(a) What is the magnitude (in Tesla) of the magnetic field due to the infinite wire at the point P in the rectangular loop, a distance r=3.2 cm from the wire (see figure).


In which direction does it point?


(b) Calculate the magnitude of the magnetic flux (in Tesla  m2) through the rectangular loop due to the magnetic field created by the infinite wire.

(c) Suppose the current in the infinite wire starts increasing in time according to I=bt, with b=50 Amps/sec. What is the magnitude (in Amps) of the induced current in the loop? Neglect any contribution to the magnetic flux through the loop due to the magnetic field created by the induced current.


(d) What is the direction of this current flow?

  1. ^_ ^

    a) B = mu_0*I/(2*Pi*r)

    b) phi = (mu_0*I*L/(2*Pi))*ln(1+w/h)

    c) i = (-1/R)*(mu_0*L)/(2*Pi)*ln(1+w/h)*(di/dt)

  2. Phy

    What is di/dt ??

  3. Anonymous

    Phy, it's the b in the variation I=bt. Just use the b value in the problem for (di/dt)

  4. Phy

    Thanks, can u tell me the solutions of 1,4,6,9,10,11,12?

  5. dd

    the C is wrong for me using the b in di/dt

  6. robbo

    Have you guys gt 3,5,7,8,9,10,11,12...????? Let's help each other and get this done guys!!

  7. Sat

    C is wrong ...

  8. boss

    Some people haven't done even one question.

  9. boss

    I wonder if some people understand the subject at all. It is an insult to the lecturer.

  10. Sat

    Hey boss, how did u come across this topic if you have not googled the question? It's obvious that you cheat also!

    BTW - for C just use the value for b (the one in the question) b=(di/dt)

  11. Anonymous

    Hey guys, what abput prob. 10?

  12. BG

    10, b) how to solve

  13. Jack

    Please, problem 8!!!

  14. robbo

    Problems 8-12 guys, please???/

  15. P

    Please tell ans of any question please
    Q3 a=0 last part =0

  16. BG

    Anyone, can help with questions:

    11 c)
    10 b)
    8 d,e,f)
    5 b,d,e)

  17. BG

    11 a)
    q/(4*pi*E_0*(r^2)*k)

    11 b)
    q*k/(r^2)

    11 d) 0

  18. me

    anyone for question 7 please

  19. Jack

    Hi BG, can you put the results for 8 a, b,c?

  20. AAA

    Please, Q10?

  21. AAA

    anyone for question 3 please??????

  22. Jack

    5 e)
    v= m*g*R/(B^2*W^2)

  23. BG

    8 a)
    E = (st)/(S*E_0)
    S = Area

    8 b) E*d

    8 c)
    C = E*E_0*S/d

  24. BG

    S = pi(b^2 - a^2)

  25. BG

    Jack, did you solve anything else from this list:
    11 c)
    10 b)
    8 d,e,f)
    5 b,d)

  26. BG

    me, I will exchange solution 8 on 7)

  27. BG

    me, a = lambda/0.5
    d = lambda/0.125

  28. BG

    denaminator may be different, it depends on drawing

  29. AAA

    How I can know my denominator watching my grahp BG?

  30. BG

    prob 8

  31. BG

    I think drawings at all identical so don't worry

  32. me

    BG sorry don't have 8 yet, i'll post it as soon as i solve it and thanks for 7

  33. me

    i have 5 do you still need 5b and 5d

  34. Jack

    BG,

    8 d)

    B= mu_0*(r^2-a^2)*s/(2*r*pi*(b^2-a^2))

  35. Jack

    BG, do you have 10 c and d?

  36. AAA

    Please me, question 5

  37. OVNI

    8 e)
    t*s^2/2*PI^2*(b^2-a^2)

    Please anyone 10 and 9c)

  38. me

    5) a)=B(l-W)z(t)
    b)=(B*V*W)/R
    c)=(B^2*V*W^2)/R
    d)= (M*g*R)/(B^2*W^2)

  39. Jack

    Please OVNI, 11 c)

  40. Jack

    8 f)
    Result of e multiplied by 2*pi*b*d

  41. robbo

    i'm conufsed about the parentheses that might havve been omitted in OVNI's answer to 8e....

    t*s^2/(2*PI^2*(b^2-a^2) )


    Is this correct?

  42. Jack

    I think a b is missing!

    t*s^2/(2*PI^2*b*(b^2-a^2) )

  43. OVNI

    Sorry, it's

    (t*s^2)/(2*PI^2*b*(b^2-a^2))

    Please, anyone 9c) and 10c)

  44. robbo

    8f, 8e solutions aren't working out as given by OVNI and Jack... help guys?

  45. Jack

    Please 11 c) and 10!

  46. robbo

    Jack, 11c is 0.5*L*I^2

  47. AAA

    Thank you so much!
    Question 10??

  48. OVNI

    Sorry, but I posted as I worked and I got a green check mark.
    Please any one 9 and 10

  49. robbo

    Sorry I meant 10c is 0.5*L*I^2.... the LC circuit sum, does anybody have 10 b and d??

  50. robbo

    how do you get 11 b and c???

  51. OVNI

    Roboo, why in your 11c you use L, and I?????

  52. robbo

    I meant 10c OVNI! Mistake... SOrry!

  53. OVNI

    Please 10d) and 9c)

  54. robbo

    9b????

  55. Jack

    robbo, the same that 9 a)

  56. 124

    9b = 9a, E1 = V/d1 and E2 = V/d2

    9c)try with charge conservation

  57. Jack

    robbo 10 b)

  58. BG

    11 b)
    q*9*(10^9)/r^2
    r = distance from the origin

  59. Jack

    10 b) 10 d) and 11 c) please!!!!

  60. w

    5A doesn't seem to work

  61. P

    Please give ans for Q5 for values I am getting them last chance please

    What is the total magnetic flux through the loop (in Tesla m ) when is 62 cm. Include only the magnetic flux associated with the external field (i.e. ignore the flux associated with the magnetic self-field generated by the current in the wire loop). Note that you do not need to calculate or know at what time the loop is at this location.

    incorrect

    (b) Using Faraday's Law and Ohm's Law, find the magnitude (in Amps) of the induced current in the bar at the time when 1.00 m/sec. Note that you do not need to calculate or know at what time the loop has this speed.

    incorrect

    (c) Which way does the current flow around the loop, clockwise or counterclockwise?

    Status: correct

    (d) What is the total magnetic force (in Newtons) on the rigid wire loop when 1.00 m/sec? Again, ignore any effects due to the self magnetic field.


    direction:
    Status: correct


    magnitude (in Newtons):

    incorrect

    (e) What is the magnitude of the terminal speed (in m/sec) of the loop (i.e. the speed at which the loop will be moving when it no longer accelerates)?

  62. BG

    8 e)

    poling vector = E*B/mu_0 = ??

  63. BG

    it's correct ?

  64. 124

    P, phi=B*w*(L-z)
    |em|=|dphi/dt|=B*w*V
    i=|em|/R=B*w*V/R
    F=watt/ms^-1=(|em|^2/R)*1/V

  65. 124

    BG, OK

  66. Jack

    10 b) please!

  67. 124

    10b)= frequency that abs(i(t))=max

  68. Jack

    f= 1/(2*pi*sqrt(L*C))?

  69. Jack

    and 10 d), please

  70. 124

    i(t)=I0*cos(w*t) and abs(i(t))=max if
    w*t=k*pi, for k=1=>t1=pi/w
    f=1/t1=w/pi=1/(pi*sqrt(L*C))

  71. BG

    124, i have E and B correct
    but

    pointing vector with formula E*B/mu_0, mu_0 = 4*pi*10^(-7), incorrect.

    pliz, tell where is error?

  72. 124

    10d)=>average p=v*i on [0,3*t1]

  73. 124

    BG, S=E*B/mu_0
    = 1/(2*pi^2*b)*s^2*t/(b^2-a^2)

  74. 124

    10b) f=1/t1=w/pi=1/(pi*sqrt(L*C))

  75. 124

    BG, B(r=b) = mu_0*s/(2*pi*b)is not the the previous B(r)

  76. BG

    124, thanks a lot, you the man. )

  77. BG

    124, 11 c) - Could you please help and give any hints on it?

  78. Jack

    11 c) please!

  79. robbo

    in 10d for P=V*I, where do we get V from???

  80. 124

    robbo, v=Ldi/dt
    P_mean=1/(3T-0)*int(v*i,0,3*T)
    T=2*pi*sqrt(L*C)

    11c)e)=>Q_net+ q = Q_encl in the gauss Law

  81. robbo

    S=E*B/mu_0
    = 1/(2*pi^2*b)*(s^2)*(t/(b^2-a^2))


    What's wrong with this formula guys??

    Please help?

  82. Jack

    (t*s^2)/(2*(PI^2)*b*(b^2-a^2))

  83. 124

    robbo, formula is right, check s^2*t
    for example s=24u and t=5u
    s^2*t = 24*24*5*1u^3

  84. Jack

    10 d) Positive or negative?

  85. Jack

    Is this correct for 10 d)=

    P=1/3T * int(-L*w*(Imax)^2*sin(wt)*cos(wt), 0 , 3T)
    Thanks!!!

  86. robbo

    Jack, and 124, for the formula:(t*s^2)/(2*(PI^2)*b*(b^2-a^2)) = 5.27300181668e-11


    at s=12uC/sec, t=1usec, b=0.0053m, a=0.0014m


    I've followed the formula, but the answer shows wrong... I hope you guys can help?

  87. robbo

    Jack, the formula you've used is correct :)

  88. robbo

    Q11 formulae, anybody??

  89. 124

    Jack, yes the formula is OK

  90. robbo

    124, I have no idea what on earth I'm doing wrong, followed your formula... and input values and got the same answer everytime I tried, apparently its incorrect! :( Can you input my values and see what answer you get?

  91. 124

    robbo,sorry i forgot e_0
    (1u*12u^2)/(2*(PI^2)*5.3m*(5.3m^2-1.4m^2)*8.85e-12) =5.95215457341
    E =|E|er
    |E|=1/(4*pi*e_0*kappa)*q/r^2 for (a<r<b) |E|=1/(4*pi*e_0)*q/r^2 for r>=b

  92. 124

    S=E*B/mu_0
    = 1/(2*pi^2*b*epsilon_0)*(s^2)*(t/(b^2-a^2))

  93. 124

    guys, you can subscribe in the new course ReView (8.MReVx)

  94. 124

    10d)
    P=1/3T * int(-L*w*(Imax)^2*sin(wt)*cos(wt), 0 , 3T) = 0!!!!!

    T=2*pi*sqrt(L*C)

  95. robbo

    124, i think its supposed to be t^2/(b^2-a^2) instead of t to the power of 1.

  96. robbo

    9c, 11c anybody?

  97. Jack

    11 c) Is the net charge positive or negative?

  98. MIT

    THIS IS CHEATING!!! YOU ARE NOT FOLLOWING THE HONOUR CODE!!

  99. HarvardX

    Dear MIT, you got here by???? Googling for what?

  100. l

    1c please

  101. Jack

    11 c) please!!!

  102. 124

    it seems that we cheated. So I leave. Good luck to all!

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