1. A long wire is a distance b away from a square loop of side length d. The dI wire's current decreases steadily at a rate of 4 = 5.0A/s. The loop has an internal resistance of .02 N. The square loop consists of a single turn (N = 1). dt |(t) Which way does the wire's magnetic field point when it encounters the (a) loop? (Into or out of the page) (b) Derive an expression for the magnetic flux through the loop at time t in d, b, п, terms of lo, and I(t). Hint: The loop's magnetic field varies over the loop area. (c) of time, and find the value at time t = 1.0 s. d = 1.0m and a = 2.0m. Derive an expression for the magnitude of the emf in the loop as a function 1.0 s and use (d) Lenz's law to argue which direction the induced current will flow (clockwise or counterclockwise). Find the magnitude of the induced current Itoop at time t (e) Explain by calculating the force between the wire and each segment of the loop. If there is a net force, will it be attractive or repulsive? Will the loop feel an overall force due to the presence of the current?
1. A long wire is a distance b away from a square loop of side length d. The dI wire's current decreases steadily at a rate of 4 = 5.0A/s. The loop has an internal resistance of .02 N. The square loop consists of a single turn (N = 1). dt |(t) Which way does the wire's magnetic field point when it encounters the (a) loop? (Into or out of the page) (b) Derive an expression for the magnetic flux through the loop at time t in d, b, п, terms of lo, and I(t). Hint: The loop's magnetic field varies over the loop area. (c) of time, and find the value at time t = 1.0 s. d = 1.0m and a = 2.0m. Derive an expression for the magnitude of the emf in the loop as a function 1.0 s and use (d) Lenz's law to argue which direction the induced current will flow (clockwise or counterclockwise). Find the magnitude of the induced current Itoop at time t (e) Explain by calculating the force between the wire and each segment of the loop. If there is a net force, will it be attractive or repulsive? Will the loop feel an overall force due to the presence of the current?
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Question
Typo, the distance is "b" instead of "a".
Transcribed Image Text:1.
A long wire is a distance b away from a square loop of side length d. The
dI
wire's current decreases steadily at a rate of 4 = 5.0A/s. The loop has an internal
resistance of .02 N. The square loop consists of a single turn (N = 1).
dt
|(t)
Which way does the wire's magnetic field point when it encounters the
(a)
loop? (Into or out of the page)
(b)
Derive an expression for the magnetic flux through the loop at time t in
d, b, п,
terms of
lo,
and I(t). Hint: The loop's magnetic field varies over the loop
area.
Transcribed Image Text:(c)
of time, and find the value at time t = 1.0 s. d = 1.0m and a = 2.0m.
Derive an expression for the magnitude of the emf in the loop as a function
1.0 s and use
(d)
Lenz's law to argue which direction the induced current will flow (clockwise or
counterclockwise).
Find the magnitude of the induced current Itoop at time t
(e)
Explain by calculating the force between the wire and each segment of the loop.
If there is a net force, will it be attractive or repulsive?
Will the loop feel an overall force due to the presence of the current?
Expert Solution
Step 1
Given:
The wire's current decreases steadily at a rate of = 5.0A/s.
internal resistance =
square loop N=1
Note: As per I have given solution for the first 3 subparts please post others in next submission
Step 2
a)
Loop is in right of wire so the magnetic field will encounter inside loop page.
b)
Magnetic field due to infinite long wire
Step by step
Solved in 3 steps
