Question

You're designing a high-speed computer circuit and you're worried that a mere piece of wire could have enough self-inductance to slow the rise of the current in the wire. You can treat the wire as an inductor in series with a 174-μΩ resistor. When a steady emf is imposed across the wire, you need the current in the wire to reach 75.0 % of its maximum value in less than 10.0 ns. What is the maximum tolerable inductance for the wire?

Answer 1

= Ro (rret - t=lons = 10x10 sec R=174 Hor=174x10 ir I = 75% of to I= 75 to BIO from tR = loget [loga = 1:386] = A.R - loxio 9 x 17 4x10-6 logt 1.386 125.54 x 100 = 1.25 X 10-12 H IL = 1.25 pH pico Henry