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A coil of wire at angle ? is situated in amagnetic field pointing to the right w

ID: 2005559 • Letter: A

Question

A coil of wire at angle ? is situated in amagnetic field pointing to the right which varies in time as shown in a graph (could not post, an error occured). The coil has 25 turns and an overal diameter of 4 cm. Find the induced EMF in the coil for a.) t=7.5ms and ?=0 (i.e. the plane of the coil is perpindicular to the magnetic field), for b.) t=15 ms and ?=0, and for c.) t=25ms and ?=0. For part d.) use ?=50 degrees and assume the wire is .5mm in diameter and has a resistivity of ?=1.68 x 10^-8 Om (don't confuse the wire diameter with the coil diameter given above). Find the magnitude and direction of the induced current in the coil at time=25 ms. Assume any resistance in the portion of the circuit outside the coil is negligible and report the current direction as clockwise or counterclockwise as viewed from the right.The slope for part D is 8.

**I am having trouble on part D. I think I need to find resistivity with the equation R=?(L/A) and then once i found R plug it into the equation I=BVL/R. I am unsure of how to find L though and if this is right or not. Help please!

Explanation / Answer

(d) Total length of the wire L    = 25 turns *circumference of the coil(2r) Here r = coil radius   = 0.02 m L = 3.14 m resistance R = L/A here A = r'^2 r' = radius of the wire = 0.25*10^-3 m induced current I = emf () *R Here R = resistance of the wire
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