Chapter 1 Solutions (1) - Problem 1.7 Determine the current...

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Unformatted text preview: Problem 1.7 Determine the current i ( t ) flowing through a resistor if the cumulative charge that has flowed through it up to time t is given by (a) q ( t ) = 3 . 6 t mC (b) q ( t ) = 5sin ( 377 t ) C (c) q ( t ) = . 3 [ 1 e . 4 t ] pC (d) q ( t ) = . 2 t sin ( 120 t ) nC Solution: (a) i ( t ) = dq dt = d dt ( 3 . 6 t 10 3 ) = 3 . 6 10 3 = 3 . 6 (mA). (b) i ( t ) = dq dt = d dt [( 5sin377 t ) 10 6 ] = 5 377 10 6 cos377 t = 1 . 885cos377 t (mA). (c) i ( t ) = dq dt = d dt [ . 3 ( 1 e . 4 t ) 10 12 ] = . 3 10 12 ( . 4 ) ( e . 4 t ) = . 12 e . 4 t (pA). (d) i ( t ) = dq dt = d dt [( . 2 t sin120 t ) 10 9 ] = ( . 2sin120 t + . 2 t 120 cos120 t ) 10 9 = . 2sin120 t + 75 . 4 t cos120 t (nA) . Problem 1.8 Determine the current i ( t ) flowing through a certain device if the cumulative charge that has flowed through it up to time t is given by (a) q ( t ) = . 45 t 3 C (b) q ( t ) = 12sin 2 (...
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This note was uploaded on 02/22/2011 for the course EECS 215 taught by Professor Ulaby during the Spring '11 term at University of Michigan-Dearborn.

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Chapter 1 Solutions (1) - Problem 1.7 Determine the current...

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