A conductor is carrying a constant current I. Next to the conductor, there is a

Question

A conductor is carrying a constant current I. Next to the conductor, there is a single wire bent into a triangle with base and height of length a to form a one-turn loop. The distance between the straight conductor and the center of the loop is x. The total resistance of the loop is R ohms.

a) What is the direction of the magnetic field H seen by the triangular loop as generated by the

straight conductor with current I? Is it into the page or out of the page?

b) Find a general expression for H at the center of the loop, in terms of I and x.

An operator is moving the loop so as x is steadily increasing. Assume that a<<x and thus, H is

constant over the loop area.

c) Find a general expression for the induced voltage e(t) assuming that the loop is not shorted.

d) What is the direction of the induced current (counter-clock wise or clock wise) when the loop

is shorted? Derive the expression for the current.

Explanation / Answer

Steven Fredette would be very dissappointed in you not solving these homework problems yourself

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