Tutorial Sheet
EE – 207a Electromagnetic Field Theory
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For the filamentary loop shown in Fig. 1, find the magnetic field strength at O.
Fig. 1
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The cones 𝜃 = 21𝑜 and 𝜃 = 159𝑜 are conducting surfaces and carry total
currents of 40 A, as shown in Fig 2. The currents return on a spherical conducting
⃗ in the region 0 < 𝑟 < 0.25, 21𝑜 < 𝜃 <
surface of 0.25 m radius. (a) Find 𝐻
159𝑜 , 0 < 𝜑 < 2𝜋. (b) How much energy is stored in this region? (c) Find the
inductance of the cone-sphere configuration as shown in Fig. 2.
Fig. 2
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⃗ =
Determine the induced emf in the V-shaped loop of Fig 3. Take 𝐵
⃗ = 5𝑎𝑥 𝑚⁄𝑠. Assume that the sliding rod starts at the
0.6𝑥𝑎𝑧 𝑊𝑏 ⁄𝑚2 and 𝑢
origin when t = 0.
Fig. 3
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