Explanation The power developed in electric resistor is P = i 2 R . Since the first current passes through a resistor is 2.0 Ω , then the developed power will be P 1 = 2.0 i 1 2 , where R 1 = 2.0 Ω . Since the first current passes through a resistor is 3.0 Ω , then the developed power will be P 2 = 3.0 i 2 2 , where R 1 = 3.0 Ω . Here, since the total power produced in electric resistor is 12 W , the following equations are formed. P 1 + P 2 = 12 2.0 i 1 2 + 3.0 i 2 2 = 12 Rewrite the above equation in terms of i 1 as follows. 2.0 i 1 2 + 3.0 i 2 2 = 12 3.0 i 2 2 = 12 − 2.0 i 1 2 i 2 2 = 12 − 2.0 i 1 2 3 i 2 = ± 12 − 2.0 i 1 2 3 Here, since the total power produced in the electric resistor is 12 W , the following equations are formed. P 1 + P 2 = 12 2.0 i 1 2 + 3.0 i 2 2 = 12 Rewrite the above equation in terms of i as follows. 2.0 i 1 2 + 3.0 i 2 2 = 12 3.0 i 2 2 = 12 − 2.0 i 1 2 i 2 2 = 12 − 2.0 i 1 2 3 i 2 = ± 12 − 2.0 i 1 2 3 By reversing the passage of current, the total power produced in electric resistor is 16 W , then the following equation formed

Basic Technical Mathematics with Calculus (11th Edition)

11th Edition

ISBN: 9780134437736

Author: Allyn J. Washington, Richard Evans

Publisher: PEARSON

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Chapter 14.1, Problem 35E

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To find: The currents developed in electric resistor in terms of A if i>0.

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Chapter 14.1, Problem 34E

Chapter 14.1, Problem 36E

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Chapter 14 Solutions

Basic Technical Mathematics with Calculus (11th Edition)

Ch. 14.1 - In Example 7, determine how many times the rocket...Ch. 14.1 - Prob. 1E Ch. 14.1 - Prob. 2E Ch. 14.1 - Prob. 3E Ch. 14.1 - Prob. 4E Ch. 14.1 - Prob. 5E Ch. 14.1 - Prob. 6E Ch. 14.1 - Prob. 7E Ch. 14.1 - Prob. 8E Ch. 14.1 - Prob. 9E

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The currents developed in electric resistor in terms of A if i &gt; 0 .

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The currents developed in electric resistor in terms of A if i > 0 .