CHAPTER 30 HOMEWORK

1. (p.768 Ex.3) Determine the mutual inductance per unit length between two long solenoids, one inside the other, whose radii are r1 and r2(r2 < r1) and whose turns per unit length are n1 and n2.

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2. (p.769 Ex.11) If the outer conductor of a coaxial cable has radius 3.0mm, what should be the radius of the inner conductor so that the inductance per unit length does not exceed 40nH per meter?

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3. (p.769 Ex.20) What is the energy density at the center of a circular loop of wire carrying a 30-A current  if the radius of the loop is 28.0cm?

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4. (p.769 Ex.28) It take 2.56ms for the current in an LR circuit to increase from zero to half its maximum value. Determine (a) the time constant of the circuit, (b) the resistance of the circuit if L =310H.

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5. (p.770 Ex. 34) A 760-pF capacitor is charged to 135V and then quickly connected to a 175-mH inductor. Determine (a) the frequency of oscillation. (b) the peak value of the current, and (c) the maximum energy stored inn the magnetic field of the inductor.

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6. (p.770 Ex.37) A damped LC circuit loses 5.5 percent of its electro-magnetic energy per cycle to thermal energy. If L = 65mH and C = 1.00mF, what is the value of R?

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