The following questions refer to a coil of radius 10.5 cm with 100 turns. 1) Wha

Question

The following questions refer to a coil of radius 10.5 cm with 100 turns. 1) What is the expected slope for the plot of magnetic field vs. current? (Refer to Equation 1 if you're not sure how to answer this.) 2) A student performs the lab and measures a slope of 6.3 times 10^4 T/A. Based on this result, what value do they calculate for mu_0? What is the percent error between their value and the theoretical value? 2) What voltage would you expect to be able to induce in the coil by using a magnet that has a field of B = 0.3 mT, if you quickly move the magnet into the coil in t = 0.05 seconds?

Explanation / Answer

B = u*I*N/(2r)

so we got

slope =B/I=u*N/(2r)=5.98*10^(-4) T/A

(b)

if slope=6.3*10^(-4)

we got u*N/2r=6.3*10^(-4)

we got u=1.323*10^(-6)

real value=4pi*10^(-7)=1.26*10^(-6)

error=0.063*10^(-6)=6.3*10^(-8)

percent=5 percent

(c) induced emf=N*B*area/time=002 V

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