What is the magnitude of the torque exerted on the loop?

[wadini]

A rectangular loop consists of 101 closely wrapped turns of wire and has dimnesions .97m by .23m. The loop is hinged along the y-axis and its plane makes an angle of 70 degrees with the x axis.

A uniform magnetic field of .62 T is directed along the x-axis and the current in the loop is 3.1 A in the downward direction.

What is the magnitude of the torque exerted on the loop?

okay so for this problem I tried to apply the T=NIABsin() but that doesn't work...how do I go about this problem?

I have the radius=27.2
I can get the area by multiplying the dimensions
I have the current, I = 40 A
The Mag Field B=4.07 T
and 33 degrees

what do I do ?

 

[rl.bhat]

Values given by you do not match with the given problem. In the problem the rectangular loop is given. From where did you get the radius?

 

[wadini]

oh sorry! that was not part of the problem. There is no radius given

 

[rl.bhat]

Show your calculations.

 

[wadini]

okay so what I inititally did was T=NIABsin()

so I assumed there was only one loop so I plugged in T= (1)(3.1A)(.97*.23)sin(70)

and I got T=.4029385043

but that is not correct so what am I doing wrong? Am I just using the totally wrong equation? What am I missing?

 

[rl.bhat]

You didn't multiply the number of turns in the coil.

 

[wadini]

why would I multiply the number of turns in the coil?

Also, I did that but I still did not get the right answer.

(101)(3.1 A)(.2231m^2)(.62T)sin(70)= 40.6967 N*m

 

[wadini]

is it correct that I use the equation T=NIABsin() ?

where N= 101 turns
I = 3.1 A
A= .97m * .23m
B= 0.62T
and sin()= sin(70) ??