Volt/amp Question: You Got V=14.74? I=0.72A? Need Help

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The discussion revolves around calculating voltage and current in a circuit with given resistances. The initial calculations yield V=14.74V and I=0.72A, but confusion arises regarding the readings on the voltmeter and ammeter. Participants suggest using Kirchhoff's Current Law (KCL) to write equations for the circuit nodes to find the correct values. It is emphasized that the voltage drop across an ideal ammeter is zero, which may simplify the calculations. Ultimately, solving the KCL equations for the circuit will provide clarity on the current and voltage readings.
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Homework Statement


whats are the readings at the voltmeter and the ampmeter?
hw009.jpg


You can see my work, I got V=14.74? and I=0.72A? I need help.
thanks.
 
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From what I can tell your equivalent resistances are ok.

If the supply is 12V - YOUR calculation for current gives you the current through R1.

This splits at the next junction - in inverse proportion to the resistances of R2 and R3.
 
I made a mistake on the resistors on my paper (so that's wrong) here's what tried.

I simplified the resistors and got 20/3 ohms plus 10ohms = 16.67ohms

then I found voltage
current

v=ir
14=Ix16.67
I=0.84 amps.

But that is the circuits current how do you find it at the metre? same sort of thing is confusing me with the voltmeter.then I went back to the volt meter with the 20 Ohm resistor so

v=IR
v=.84x20
v=16.8Volts?
 
I don't see simplificcation solving this circuit. Just write the 2 KCL equations and solve them simultaneously...
 
berkeman said:
I don't see simplificcation solving this circuit. Just write the 2 KCL equations and solve them simultaneously...

how do you do that, so you find current and voltage and plug into

i1+i2+i3...=0
v1+v2+v3=0

Im stuck.
 
brentwoodbc said:
how do you do that, so you find current and voltage and plug into

i1+i2+i3...=0
v1+v2+v3=0

Im stuck.

There are two summing nodes that I see where I would write the 2 KCL equations (sum of currents into a node must equal zero). The first node is between the two 10 Ohm resistors and the Ammeter, and the second node is on top of the final 20 Ohm resistor.

Write those two equations, and you should be able to solve the circuit. It's true that the voltage drop across an ideal ammeter is zero, so you can probably collapse the circuit and solve, but since they are asking for the I and V, my first instinct would be just to solve the full KCL, and recognize the simplification later.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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