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 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 _o? 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 m_T, if you quickly move the magnet into the coil t = 0.05 Seconds?

Explanation / Answer

(1) B = u0 N I / 2 R

slope of B vs I curve.

m = u0 N / 2 R

m = (4pi x 10^-7 x 100) / (2 x 0.105)

= 5.98 x 10^-4

(2) u0 N / 2 R = 6.3 x 10^-4

u0 = 1.323 x 10^-6 .........Ans

% error = (13.23 - 4pi) x 100 / 4pi = 5.28 %

(2) e = d (flux) / dt = d( N B A) / dt

e = N A dB/dt

e = (100 x pi x 0.105^2) (0.3 x 10^-3) / 0.05

e = 0.0208 Volt

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