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MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Department of Electrical Engineering and Computer Science
6.013 – Electromagnetics and Applications
Problem Set 10 (four problems)
Suggested Reading:
Course notes, Sections 10.12; 10.4.1, 10.4.3; 11.2.111.2.3
Problem 10.1
An Nturn 10cm diameter wire coil is excited
with I = 1 ampere at 100 kHz, as illustrated.
(a) What
farfield
radiation
⎯
H is observed on
the coil axis at distance D?
I
x
z
y

r = D
+
(b)
What is the nearfield value of
⎯
H at D?
Hint: use the BiotSavart formula.
(c)
What is the maximum opencircuit voltage V
max
induced in a duplicate onaxis coil
at D? (Quasistatic question.)
(d) The receiving coil, when shunted by a capacitor C, resonates at 100 kHz.
For the
ideal case of perfectly conducting devices, discuss briefly the physical phenomenon
that limits the maximum voltage V(t) that can appear across this resonating coil.
(e)
Assume the LC resonator of part (d) now has a small resistance R in series with the
coil, where R has been adjusted to extract and dissipate the maximum possible
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 Spring '09
 staelin
 Electromagnet

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