Explanation Formula used: Write the expression for Ohm’s law. E = I R total (1) Here, E is potential difference. I is the current. R total is the total resistance. Calculation: Refer to table in Question 7P for the values of potential differences and resistances. The net potential difference of the circuit is the summation of voltage drops across the resistances connected in parallel. E = V 1 + V 2 Substitute 12 V for V 1 and 24 V for V 2 to compute the net potential difference of the circuit. E = 12 V + 24 V = 36 V Voltages across the resistances in parallel R 1 and R 2 are same since in parallel circuits the voltages remain same. So, the voltage drop across resistance R 2 is 12 V. Similarly, voltages across the resistances in parallel R 1 and R 2 are same. So, the voltage drop across resistance R 4 is 24 V. Current through resistor R 1 , R 2 , R 3 and R 4 can be obtained by Ohm’s law. Substitute I 1 for I , R 1 for R and V 1 for V in equation (1) to obtain the expression for potential difference across resistor R 1 . V 1 = I 1 R 1 I 1 = V 1 R 1 Substitute 12 V for V 1 and 2 Ω for R 1 to compute the current through the resistor. I 1 = 12 V 2 Ω = 6 A Substitute I 2 for I , R 2 for R and V 2 for V in equation (1) to obtain the expression for potential difference across resistor R 2 . V 2 = I 2 R 2 I 2 = V 2 R 2 Substitute 12 V for V 2 and 4 Ω for R 2 to compute the current through the resistor. I 2 = 12 V 4 Ω I 2 = 3 A Substitute I 3 for I , R 3 for R and V 3 for V in equation (1) to obtain the expression for potential difference across resistor R 3

11th Edition

ISBN: 9780134159386

Author: Dale Ewen, Neill Schurter, Erik Gundersen

Publisher: PEARSON

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Chapter 17.10, Problem 7P

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Solution Summary: The author explains the formula for Ohm's law. The net potential difference of the circuit is the sum of voltage drops across the resistances connected in parallel.

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Chapter 17 Solutions