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?

^_ ^
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) 
Phy
What is di/dt ??

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

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

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

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

Sat
C is wrong ...

boss
Some people haven't done even one question.

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

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) 
Anonymous
Hey guys, what abput prob. 10?

BG
10, b) how to solve

Jack
Please, problem 8!!!

robbo
Problems 812 guys, please???/

P
Please tell ans of any question please
Q3 a=0 last part =0 
BG
Anyone, can help with questions:
11 c)
10 b)
8 d,e,f)
5 b,d,e) 
BG
11 a)
q/(4*pi*E_0*(r^2)*k)
11 b)
q*k/(r^2)
11 d) 0 
me
anyone for question 7 please

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

AAA
Please, Q10?

AAA
anyone for question 3 please??????

Jack
5 e)
v= m*g*R/(B^2*W^2) 
BG
8 a)
E = (st)/(S*E_0)
S = Area
8 b) E*d
8 c)
C = E*E_0*S/d 
BG
S = pi(b^2  a^2)

BG
Jack, did you solve anything else from this list:
11 c)
10 b)
8 d,e,f)
5 b,d) 
BG
me, I will exchange solution 8 on 7)

BG
me, a = lambda/0.5
d = lambda/0.125 
BG
denaminator may be different, it depends on drawing

AAA
How I can know my denominator watching my grahp BG?

BG
prob 8

BG
I think drawings at all identical so don't worry

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

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

Jack
BG,
8 d)
B= mu_0*(r^2a^2)*s/(2*r*pi*(b^2a^2)) 
Jack
BG, do you have 10 c and d?

AAA
Please me, question 5

OVNI
8 e)
t*s^2/2*PI^2*(b^2a^2)
Please anyone 10 and 9c) 
me
5) a)=B(lW)z(t)
b)=(B*V*W)/R
c)=(B^2*V*W^2)/R
d)= (M*g*R)/(B^2*W^2) 
Jack
Please OVNI, 11 c)

Jack
8 f)
Result of e multiplied by 2*pi*b*d 
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^2a^2) )
Is this correct? 
Jack
I think a b is missing!
t*s^2/(2*PI^2*b*(b^2a^2) ) 
OVNI
Sorry, it's
(t*s^2)/(2*PI^2*b*(b^2a^2))
Please, anyone 9c) and 10c) 
robbo
8f, 8e solutions aren't working out as given by OVNI and Jack... help guys?

Jack
Please 11 c) and 10!

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

AAA
Thank you so much!
Question 10?? 
OVNI
Sorry, but I posted as I worked and I got a green check mark.
Please any one 9 and 10 
robbo
Sorry I meant 10c is 0.5*L*I^2.... the LC circuit sum, does anybody have 10 b and d??

robbo
how do you get 11 b and c???

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

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

OVNI
Please 10d) and 9c)

robbo
9b????

Jack
robbo, the same that 9 a)

124
9b = 9a, E1 = V/d1 and E2 = V/d2
9c)try with charge conservation 
Jack
robbo 10 b)

BG
11 b)
q*9*(10^9)/r^2
r = distance from the origin 
Jack
10 b) 10 d) and 11 c) please!!!!

w
5A doesn't seem to work

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 selffield 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)? 
BG
8 e)
poling vector = E*B/mu_0 = ?? 
BG
it's correct ?

124
P, phi=B*w*(Lz)
em=dphi/dt=B*w*V
i=em/R=B*w*V/R
F=watt/ms^1=(em^2/R)*1/V 
124
BG, OK

Jack
10 b) please!

124
10b)= frequency that abs(i(t))=max

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

Jack
and 10 d), please

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)) 
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? 
124
10d)=>average p=v*i on [0,3*t1]

124
BG, S=E*B/mu_0
= 1/(2*pi^2*b)*s^2*t/(b^2a^2) 
124
10b) f=1/t1=w/pi=1/(pi*sqrt(L*C))

124
BG, B(r=b) = mu_0*s/(2*pi*b)is not the the previous B(r)

BG
124, thanks a lot, you the man. )

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

Jack
11 c) please!

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

124
robbo, v=Ldi/dt
P_mean=1/(3T0)*int(v*i,0,3*T)
T=2*pi*sqrt(L*C)
11c)e)=>Q_net+ q = Q_encl in the gauss Law 
robbo
S=E*B/mu_0
= 1/(2*pi^2*b)*(s^2)*(t/(b^2a^2))
What's wrong with this formula guys??
Please help? 
Jack
(t*s^2)/(2*(PI^2)*b*(b^2a^2))

124
robbo, formula is right, check s^2*t
for example s=24u and t=5u
s^2*t = 24*24*5*1u^3 
Jack
10 d) Positive or negative?

Jack
Is this correct for 10 d)=
P=1/3T * int(L*w*(Imax)^2*sin(wt)*cos(wt), 0 , 3T)
Thanks!!! 
robbo
Jack, and 124, for the formula:(t*s^2)/(2*(PI^2)*b*(b^2a^2)) = 5.27300181668e11
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? 
robbo
Jack, the formula you've used is correct :)

robbo
Q11 formulae, anybody??

124
Jack, yes the formula is OK

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?

124
robbo,sorry i forgot e_0
(1u*12u^2)/(2*(PI^2)*5.3m*(5.3m^21.4m^2)*8.85e12) =5.95215457341
E =Eer
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 
124
S=E*B/mu_0
= 1/(2*pi^2*b*epsilon_0)*(s^2)*(t/(b^2a^2)) 
124
guys, you can subscribe in the new course ReView (8.MReVx)

124
10d)
P=1/3T * int(L*w*(Imax)^2*sin(wt)*cos(wt), 0 , 3T) = 0!!!!!
T=2*pi*sqrt(L*C) 
robbo
124, i think its supposed to be t^2/(b^2a^2) instead of t to the power of 1.

robbo
9c, 11c anybody?

Jack
11 c) Is the net charge positive or negative?

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

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

l
1c please

Jack
11 c) please!!!

124
it seems that we cheated. So I leave. Good luck to all!
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