What is the Equivalent Resistance and Current in this Electrical Circuit?

AI Thread Summary
The discussion focuses on calculating the equivalent resistance and current in a given electrical circuit with specified resistances and battery voltage. The equivalent resistance can be determined by recognizing that resistors R2, R3, and R4 are in parallel, while R1 is in series with this equivalent resistance. To find the currents through each resistor, Kirchhoff's laws and Ohm's Law are applicable. The participants emphasize the importance of understanding the configuration of the resistors to solve the problem effectively. The conversation highlights the collaborative effort to clarify the approach to the calculations.
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Homework Statement


In Fig. 27-29, R1 = 85.8 Ω, R2 = R3 = 67.5 Ω, R4 = 89.7 Ω, and the ideal battery has emf ε = 6.0 V. (a) What is the equivalent resistance? What is i in (b) resistance 1, (c) resistance 2, (d) resistance 3, and (e) resistance 4?

http://edugen.wiley.com/edugen/courses/crs1141/art/qb/qu/c27/Fig27_42.gif



Homework Equations



I in = I out

The Attempt at a Solution



I don't even know where to begin with this problem. I can't figure out how to use the formula of I in = I out with this problem.
 
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For a)

you can see R2, R3, and R4 are all in parallel, so you can find an equivalent resistance for those three, and R1 is in series with that equivalent resistor, so you can find the equivalent resistance. Does that get you going?

The second part asking for the currents can be done with Kirchoff's laws and Ohm's Law
 
R2, R4, & R3 are in parrallel, find the equivilent R for those seperate, then take what you got for that and then find the equivilent R for a series using what you got before as well as R1. That should get you started with the first part.

Whoops, looks like someone beat me to it. :)
 
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