For the circuit shown, we wish to find the currents I1, I2, and I3. Use Kirchhoff’s rules to obtain equations for (a) the upper loop, (b) the lower loop, and (c) the junction on the left side. In each case, suppress units for clarity and simplify, combining the terms. (d) Solve the junction equation for I3. (e) Using the equation found in part (d), eliminate I3 from the equation found in part (b). (f) Solve the equations found in parts (a) and (e) simultaneously for the two unknowns I1 and I2. (g) Substitute the answers found in part (f) into the junction equation found in part (d), solving for I3. (h) What is the significance of the negative answer for I2? 18.0 V5.00 N8.00 N12.0 V11.0 N7.00 N+5.00 N I36.0 VFigure P27.22+

a) Going counterclockwise around the upper loop and suppressing units, Kirchoff’s loop rule gives,

Answered: 18.0 V 5.00 N 8.00 N 12.0 V 11.0 N 7.00…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter38: Refraction And Images Formed By Refraction

Section: Chapter Questions

Problem 70PQ: A Fill in the missing entries in Table P38.70. Table P38.70

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For the circuit shown, we wish to find the currents I₁, I₂, and I₃. Use Kirchhoff’s rules to obtain equations for (a) the upper loop, (b) the lower loop, and (c) the junction on the left side. In each case, suppress units for clarity and simplify, combining the terms. (d) Solve the junction equation for I₃. (e) Using the equation found in part (d), eliminate I₃ from the equation found in part (b). (f) Solve the equations found in parts (a) and (e) simultaneously for the two unknowns I₁ and I₂. (g) Substitute the answers found in part (f) into the junction equation found in part (d), solving for I₃. (h) What is the significance of the negative answer for I₂?

18.0 V
5.00 N
8.00 N
12.0 V
11.0 N
7.00 N
+
5.00 N I
36.0 V
Figure P27.22
+

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