Kirchoff's Laws for Currents in a Circuit

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The discussion focuses on applying Kirchhoff's Laws to determine the currents through resistors in a circuit with two batteries and three resistors. The batteries have EMFs of 9.0 V and 17.0 V, while the resistors are valued at 15 Ω, 20 Ω, and 34 Ω. The participant has successfully identified the current directions but seeks assistance in calculating their magnitudes. Key equations referenced include Kirchhoff's Loop Rule and Series Law. The thread emphasizes the need for clear calculations to solve the problem effectively.
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Homework Statement


Determine the magnitudes and directions of the currents through each resistor shown in Fig. 19-38. The batteries have emfs of [PLAIN]http://www.webassign.net/images/scriptE.gif1 = 9.0 V and [PLAIN]http://www.webassign.net/images/scriptE.gif2 = 17.0 V and the resistors have values of R1 = 15 [PLAIN]http://www.webassign.net/images/omegacap.gif, R2 = 20 [PLAIN]http://www.webassign.net/images/omegacap.gif, andR3 = 34[PLAIN]http://www.webassign.net/images/omegacap.gif.

Homework Equations


Kirchoff's Loop Rule: I1+I2+I3=0
Kirchoff's Series Law?: V1+V2+V3=0

The Attempt at a Solution


I've actually gotten the direction for all three, I just need some serious help calculating the magnitudes.
19_38.gif
 
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Show us your equations.

Chet
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
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