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Posted by on Saturday, June 15, 2013 at 4:35am.

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?

  • Physics - , Saturday, June 15, 2013 at 10:53am

    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)

  • Physics - , Saturday, June 15, 2013 at 1:41pm

    What is di/dt ??

  • Physics - , Saturday, June 15, 2013 at 2:34pm

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

  • Physics - , Saturday, June 15, 2013 at 3:39pm

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

  • Physics - , Saturday, June 15, 2013 at 4:08pm

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

  • Physics - , Saturday, June 15, 2013 at 7:10pm

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

  • Physics - , Sunday, June 16, 2013 at 3:58am

    C is wrong ...

  • Physics - , Sunday, June 16, 2013 at 4:03am

    Some people haven't done even one question.

  • Physics - , Sunday, June 16, 2013 at 4:04am

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

  • Physics - , Sunday, June 16, 2013 at 4:09am

    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)

  • Physics - , Sunday, June 16, 2013 at 4:26am

    Hey guys, what abput prob. 10?

  • Physics - , Sunday, June 16, 2013 at 6:45am

    10, b) how to solve

  • Physics - , Sunday, June 16, 2013 at 8:07am

    Please, problem 8!!!

  • Physics - , Sunday, June 16, 2013 at 8:31am

    Problems 8-12 guys, please???/

  • Physics - , Sunday, June 16, 2013 at 10:41am

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

  • Physics - , Monday, June 17, 2013 at 2:36am

    Anyone, can help with questions:

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

  • Physics - , Monday, June 17, 2013 at 3:03am

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

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

    11 d) 0

  • Physics - , Monday, June 17, 2013 at 3:08am

    anyone for question 7 please

  • Physics - , Monday, June 17, 2013 at 3:39am

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

  • Physics - , Monday, June 17, 2013 at 3:40am

    Please, Q10?

  • Physics - , Monday, June 17, 2013 at 3:42am

    anyone for question 3 please??????

  • Physics - , Monday, June 17, 2013 at 3:42am

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

  • Physics - , Monday, June 17, 2013 at 4:02am

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

    8 b) E*d

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

  • Physics - , Monday, June 17, 2013 at 4:03am

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

  • Physics - , Monday, June 17, 2013 at 4:10am

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

  • Physics - , Monday, June 17, 2013 at 4:15am

    me, I will exchange solution 8 on 7)

  • Physics - , Monday, June 17, 2013 at 4:18am

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

  • Physics - , Monday, June 17, 2013 at 4:21am

    denaminator may be different, it depends on drawing

  • Physics - , Monday, June 17, 2013 at 4:28am

    How I can know my denominator watching my grahp BG?

  • Physics - , Monday, June 17, 2013 at 4:34am

    prob 8

  • Physics - , Monday, June 17, 2013 at 4:37am

    I think drawings at all identical so don't worry

  • Physics - , Monday, June 17, 2013 at 4:51am

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

  • Physics - , Monday, June 17, 2013 at 5:00am

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

  • Physics - , Monday, June 17, 2013 at 5:05am

    BG,

    8 d)

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

  • Physics - , Monday, June 17, 2013 at 5:07am

    BG, do you have 10 c and d?

  • Physics - , Monday, June 17, 2013 at 5:19am

    Please me, question 5

  • Physics - , Monday, June 17, 2013 at 5:21am

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

    Please anyone 10 and 9c)

  • Physics - , Monday, June 17, 2013 at 5:35am

    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)

  • Physics - , Monday, June 17, 2013 at 5:39am

    Please OVNI, 11 c)

  • Physics - , Monday, June 17, 2013 at 5:50am

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

  • Physics - , Monday, June 17, 2013 at 6:06am

    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?

  • Physics - , Monday, June 17, 2013 at 6:10am

    I think a b is missing!

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

  • Physics - , Monday, June 17, 2013 at 6:10am

    Sorry, it's

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

    Please, anyone 9c) and 10c)

  • Physics - , Monday, June 17, 2013 at 6:11am

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

  • Physics - , Monday, June 17, 2013 at 6:13am

    Please 11 c) and 10!

  • Physics - , Monday, June 17, 2013 at 6:16am

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

  • Physics - , Monday, June 17, 2013 at 6:16am

    Thank you so much!
    Question 10??

  • Physics - , Monday, June 17, 2013 at 6:16am

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

  • Physics - , Monday, June 17, 2013 at 6:17am

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

  • Physics - , Monday, June 17, 2013 at 6:18am

    how do you get 11 b and c???

  • Physics - , Monday, June 17, 2013 at 6:18am

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

  • Physics - , Monday, June 17, 2013 at 6:19am

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

  • Physics - , Monday, June 17, 2013 at 6:30am

    Please 10d) and 9c)

  • Physics - , Monday, June 17, 2013 at 6:32am

    9b????

  • Physics - , Monday, June 17, 2013 at 6:35am

    robbo, the same that 9 a)

  • Physics - , Monday, June 17, 2013 at 6:36am

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

    9c)try with charge conservation

  • Physics - , Monday, June 17, 2013 at 6:37am

    robbo 10 b)

  • Physics - , Monday, June 17, 2013 at 7:02am

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

  • Physics - , Monday, June 17, 2013 at 7:05am

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

  • Physics - , Monday, June 17, 2013 at 8:05am

    5A doesn't seem to work

  • Physics - , Monday, June 17, 2013 at 8:17am

    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)?

  • Physics - , Monday, June 17, 2013 at 8:26am

    8 e)

    poling vector = E*B/mu_0 = ??

  • Physics - , Monday, June 17, 2013 at 8:27am

    it's correct ?

  • Physics - , Monday, June 17, 2013 at 8:38am

    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

  • Physics - , Monday, June 17, 2013 at 8:41am

    BG, OK

  • Physics - , Monday, June 17, 2013 at 8:51am

    10 b) please!

  • Physics - , Monday, June 17, 2013 at 8:57am

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

  • Physics - , Monday, June 17, 2013 at 9:05am

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

  • Physics - , Monday, June 17, 2013 at 9:05am

    and 10 d), please

  • Physics - , Monday, June 17, 2013 at 9:10am

    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))

  • Physics - , Monday, June 17, 2013 at 9:11am

    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?

  • Physics - , Monday, June 17, 2013 at 9:12am

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

  • Physics - , Monday, June 17, 2013 at 9:16am

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

  • Physics - , Monday, June 17, 2013 at 9:17am

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

  • Physics - , Monday, June 17, 2013 at 9:33am

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

  • Physics - , Monday, June 17, 2013 at 10:12am

    124, thanks a lot, you the man. )

  • Physics - , Monday, June 17, 2013 at 10:26am

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

  • Physics - , Monday, June 17, 2013 at 10:28am

    11 c) please!

  • Physics - , Monday, June 17, 2013 at 10:37am

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

  • Physics - , Monday, June 17, 2013 at 10:54am

    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

  • Physics - , Monday, June 17, 2013 at 11:04am

    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?

  • Physics - , Monday, June 17, 2013 at 11:14am

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

  • Physics - , Monday, June 17, 2013 at 11:16am

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

  • Physics - , Monday, June 17, 2013 at 11:21am

    10 d) Positive or negative?

  • Physics - , Monday, June 17, 2013 at 11:26am

    Is this correct for 10 d)=

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

  • Physics - , Monday, June 17, 2013 at 11:34am

    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?

  • Physics - , Monday, June 17, 2013 at 11:34am

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

  • Physics - , Monday, June 17, 2013 at 11:38am

    Q11 formulae, anybody??

  • Physics - , Monday, June 17, 2013 at 11:41am

    Jack, yes the formula is OK

  • Physics - , Monday, June 17, 2013 at 11:48am

    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?

  • Physics - , Monday, June 17, 2013 at 11:53am

    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

  • Physics - , Monday, June 17, 2013 at 11:54am

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

  • Physics - , Monday, June 17, 2013 at 11:58am

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

  • Physics - , Monday, June 17, 2013 at 12:00pm

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

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

  • Physics - , Monday, June 17, 2013 at 12:08pm

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

  • Physics - , Monday, June 17, 2013 at 12:22pm

    9c, 11c anybody?

  • Physics - , Monday, June 17, 2013 at 12:22pm

    11 c) Is the net charge positive or negative?

  • Physics - , Monday, June 17, 2013 at 12:24pm

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

  • Physics - , Monday, June 17, 2013 at 12:26pm

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

  • Physics - , Monday, June 17, 2013 at 1:17pm

    1c please

  • Physics - , Monday, June 17, 2013 at 1:24pm

    11 c) please!!!

  • Physics - , Monday, June 17, 2013 at 1:38pm

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

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