1.9 - Problem 1.9 Determine the net charge ∆Q that...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Problem 1.9 Determine the net charge ∆Q that flowed through a resistor over the specified time interval for each of the following currents: (a) i(t ) = 0.36 A, from t = 0 to t = 3 s (b) i(t ) = [40t + 8] mA, from t = 1 s to t = 12 s (c) i(t ) = 5 sin(4π t ) nA, from t = 0 to t = 0.05 s (d) i(t ) = 12e−0.3t mA, from t = 0 to t = ∞ Solution: (a) ∆Q(0, 3) = (b) ∆Q(1, 12) = 12 12 3 3 i dt = 0 0 0.36 dt = 0.36t |3 = 1.08 0 (C). i dt = 1 1 (40t + 8) dt × 10−3 12 = (c) ∆Q(0, 0.05) = 0.05 40t 2 + 8t 2 × 10−3 = 2.948 1 (C). 0.05 i dt = 0 0 5 sin 4π t dt × 10−9 0.05 = −5 cos 4π t 4π × 10−9 0 = (−0.32 + 0.40) × 10−9 = 80 (d) ∆Q(0, ∞) = ∞ ∞ (pC). i dt = 0 0 12e−0.3t dt × 10−3 = −12e−0.3t 0.3 ∞ × 10−3 = 40 0 (mC). ...
View Full Document

This note was uploaded on 04/19/2010 for the course EE 220 taught by Professor Rawat during the Spring '09 term at Nevada.

Ask a homework question - tutors are online