# 2.3 - 22 mm A = 1 mm × 2 mm = 2 × 10 − 6 m 2 = 2 × 10...

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Problem 2.3 A thin-film resistor made of germanium is 2 mm in length and its rectangular cross section is 0.2 mm × 1 mm, as shown in Fig. P2.3. Determine the resistance that an ohmmeter would measure if connected across its: (a) Top and bottom surfaces (b) Front and back surfaces (c) Right and left surfaces 0.2 mm 1 mm 2 mm y z x Figure P2.3: Film resistor of Problem 2.3. Solution: (a) R = σ A = 0 .
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Unformatted text preview: 22 mm , A = 1 mm × 2 mm = 2 × 10 − 6 m 2 = 2 × 10 − 4 2 . 13 × 2 × 10 − 6 ≃ 47 Ω . (b) R = ℓ A ℓ = 1 mm , A = 2 mm × . 2 mm = 4 × 10 − 7 m 2 = 10 − 3 2 . 13 × 4 × 10 − 7 ≃ 1 , 174 Ω . (c) R = ℓ A ℓ = 2 mm , A = 1 mm × . 2 mm = 2 × 10 − 7 m 2 = 2 × 10 − 3 2 . 13 × 4 × 10 − 7 ≃ 4 , 695 Ω ....
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