Using Ohm's Law and simplification of the circuit, what are the resistor, power, current, and voltage values?

This is part of a study guide for a test. For some reason, solutions aren't included in study guide/textbook examples. Without answers, I have no idea if I'm solving them right or will be going in to the exam with notes full of wrong circuit analyses.

I appreciate the help immensely!

I'm confident with simplifying the circuit, so I'm pasting just the other questions:

b) What is the total current comes out of 3V battery?
c) What is Power delivered by Battery?
d) What is the current passing through resistor R1?
e) What is voltage at location E?
f) If you know current passing R1, and voltage at E. What is voltage at location A? (2 points)
g) Once you know voltage at location A and location C, what is current passing through R2?
h) How much power dissipated on R2?
i) What’s the current passing through resistor R4 and R3?
j) What is voltage of location B?
k) What is voltage of location D?
l) What if power supply is not 3V battery, but rather 0.1 amp current source, what is the voltage at
location E ?

2017-05-24T02:48:32Z

My simplified circuit has a resistance of 286 ohms. Confirmation of that is appreciated, or not if I'm wrong.

Technobuff2017-05-24T04:46:59Z

Favorite Answer

A simplified circuit would eliminate R4 by adding its value to R3, and putting that in parallel with R2. Everything to the right of point B is eliminated, no function in a circuit.
You could then simplify it further by working out the equivalency of the 2 paralleled resistances, leaving that in series with R1 across the battery.
In the end, you could add the equivalent value to R1, and represent the circuit with just 1 resistor in series with the battery.
R4 and R3 in series = 200 ohms. This is in parallel with R2 of 200 ohms, so equivalent resistance is 100 ohms.
a) This is in series with R1 of 100 ohms, to final circuit resistance = 200 ohms, and the fully simplified circuit would be a 200 ohm resistor across the 3V. battery.
b) Current I = (E/R) = (3/200) = 0.015A.
c) Power = (EI) = (3 x 0.015) = 0.045W.
d) R1 would pass all the circuit current in the unsimplified circuit, = 0.015A.
e) Voltage relative to ground = 3V. at E.
f) V at A = 3v - (V drop acrossR1) = 3 - (0.015A x 100 ohm) = 1.5V.
g) The 1.5V. is between C and A, so current through r2, I = (E/R) = (1.5/200) = 0.0075A.
h) Power dissipated in R2 = (EI) = (1.5 x 0.0075) = 0.01125 W.
i) R4 and R3 have a current of (0.015 - 0.0075) = 0.0075 A. passing through both.
j) Voltage at B = 1.5 - (IR) = 1.5 - (0.0075 A x 60) = 1.05V.
k) It will be 1.05V. relative to ground, but all that circuit after point B is not doing anything.
l) Source 0.1A., voltage at E would be (IR) = (0.1 x 200) = 20 V. (200 ohm is the equivalent resistance of the circuit).

Anonymous2017-05-24T01:51:11Z

Idk