Determine the magnetic flux through the loop due to the current I.

+3 votes

A loop of wire in the shape of a rectangle of width w and length L and a long, straight wire carrying a current I lie on a tabletop as shown in the figure below.

image
(a) Determine the magnetic flux through the loop due to the current I. (Use any variable stated above along with the following as necessary: μ0 and π.)
ΦB =  

(b) Suppose the current is changing with time according to I = a + bt, where a and b are constants. Determine the magnitude of the emf that is induced in the loop if b = 19.0 A/s, h = 1.00 cm, w = 12.0 cm, and L = 1.50 m.
 V 

(c) What is the direction of the induced current in the rectangle?
    

 

asked Feb 28, 2012 in Physics by apush ~Expert~ (552 points)
    

1 Answer

0 votes

ΦB = integral(B*dA)

where B = μ0I/ 2π*x   (*Where I=current, x=variable for distance)

And so

ΦB = integral from (h+w) to (h)    [L*μ0I2π*x dx)]

 

 

answered Mar 8, 2012 by pokemonmaster ~Expert~ (3,856 points)



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