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Engineers had avoided inductance in longdistance circuits because it slows transmission
Chapter 14, Problem P14.8-11(choose chapter or problem)
Engineers had avoided inductance in long distance circuits because it slows transmission. Oliver Heaviside proved that the addition of inductance to a circuit could enable it to transmit without distortion. George A. Campbell of the Bell Telephone Company designed the first practical inductance loading coils, in which the induced field of each winding of wire reinforced that of its neighbors so that the coil supplied proportionally more inductance than resistance. Each one of Campbell’s 300 test coils added 0.11 H and 12 \(\Omega\) at regular intervals along 35 miles of telephone wire (Nahin, 1990). The loading coil balanced the effect of the leakage between the telephone wires represented by R and C in Figure P 14.8-11. Determine the transfer function \(V_2(s) / V_1(s)\).
Questions & Answers
QUESTION:
Engineers had avoided inductance in long distance circuits because it slows transmission. Oliver Heaviside proved that the addition of inductance to a circuit could enable it to transmit without distortion. George A. Campbell of the Bell Telephone Company designed the first practical inductance loading coils, in which the induced field of each winding of wire reinforced that of its neighbors so that the coil supplied proportionally more inductance than resistance. Each one of Campbell’s 300 test coils added 0.11 H and 12 \(\Omega\) at regular intervals along 35 miles of telephone wire (Nahin, 1990). The loading coil balanced the effect of the leakage between the telephone wires represented by R and C in Figure P 14.8-11. Determine the transfer function \(V_2(s) / V_1(s)\).
ANSWER:
Step 1 of 3
The equivalent impedance of capacitor and resistor be , and the current flowing through the loop be .