EE103hw3%20sol

EE103hw3%20sol - EE103 Spring 2007 Solutions Homework 3 1-...

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EE103 Spring 2007 Solutions Homework 3 1- The figure shows the current through and the voltage across a device. a) Sketch the power delivered to the device for t = 2s, t = 5 s and t = 10 s b) Find the total energy absorbed by the device in the interval 0 < t < 10 s 02468 1 0 0 2 4 6 8 10 12 14 16 18 20 22 power (W) Time (s) 024 681 0 1 2 3 4 5 6 7 Y Axis Title X Axis Title current voltage a) For t = 2 s the power delivered is P = V * I = 5V * 3A = 15 W for t = 5 s P = V * I = 1V * 4A = 4 W
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for t = 10 s P = V * I = 2V * 7A = 14 W c) To calculate the energy integrate the different intervals 3 10 3 7 10 10 7 22 3 7 0 00 37 5 5( 1 ) 41 2 ( 3 ) 5 4 6 2 W V I dt t dt dt t dt t t t t t == + + + = + + + ∫∫ 22.5 15 28 12 100 49 60 42 86.5 WJ J J J J J J JJ =+ + + + = 2- A lighting bolt strikes a plane with 150 kA for 10 ms. How many Coulombs are deposited in the plane? 33 150 10 10 10 1500 QIt A s C =Δ= = 3- A utility company charges 8 cents per kWh. If a customer operates a 100 W bulb during 8 hours per day, how much the customer will be charged per month? 100 8 30 24 WP t Wh k W h = = Will charge $1.92 4- A constant current of 3 A is necessary to charge an automotive battery in 3 hours.
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This note was uploaded on 10/28/2008 for the course ECE 103 taught by Professor Marconi during the Spring '08 term at Colorado State.

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EE103hw3%20sol - EE103 Spring 2007 Solutions Homework 3 1-...

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