Calculating Resistance and Power in a Simple Circuit

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Homework Help Overview

The discussion revolves around calculating resistance and power in a simple circuit, specifically addressing the relationships between voltage, current, and resistance using Ohm's Law and Kirchhoff's Circuit Laws.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants explore the implications of voltage drops across resistors and question the interpretation of given voltages in the context of the circuit's emf. There is discussion about the application of Kirchhoff's laws and the need to represent the circuit visually. Some participants express uncertainty about the calculations for power dissipation and the appropriate equations to use.

Discussion Status

Participants are actively engaging with the problem, clarifying concepts and exploring different interpretations of the circuit behavior. Some guidance has been offered regarding the application of Kirchhoff's laws, but there is still uncertainty regarding the calculation of power dissipation.

Contextual Notes

There are indications of confusion regarding the voltage values provided in the problem and how they relate to the overall circuit analysis. Participants mention the need for additional resources such as textbooks or notes to aid in understanding the concepts discussed.

warnexus
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Homework Statement



resistance_zpsabfe4bea.jpg


Homework Equations



current = (emf)/(resistance)

power = (Capacitance)(Voltage)/ (2)

The Attempt at a Solution



i might be misunderstanding the question but when in part A when it says 5V across it, does it mean if the emf was 5 V instead of the given 12 V?

current = (5V)/(270 ohm)
current = .04 Amperes

current is same in a capacitors

.04 = 5V(Resistance_2)
Resistance = 120 ohms
 
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warnexus said:

Homework Statement



resistance_zpsabfe4bea.jpg


Homework Equations



current = (emf)/(resistance)

power = (Capacitance)(Voltage)/ (2)

The Attempt at a Solution



i might be misunderstanding the question but when in part A when it says 5V across it, does it mean if the emf was 5 V instead of the given 12 V?

current = (5V)/(270 ohm)
current = .04 Amperes

current is same in a capacitors

.04 = 5V(Resistance_2)
Resistance = 120 ohms
No. It does not mean that you replace the 12V with 5V.

Do you know Kirchhoff's Circuit Laws?

In this series circuit, the sum of the voltage drops across the resistors is equal to the emf of the battery.

According to Ohm's Law, the voltage drop across a resistor of resistance, R, which has current, I, flowing through it is I∙R .
 
charges gain energy at emf and lose energy in resistors. what you stated previously would mean the voltage drop is 12 V. i thought you would only use kirchhoff's law if there is more than one emf or if the circuit is connected in a complex way

let see at emf there is a gain of 12 V. part a says 5 V across so that's a 5 V voltage drop in R_2. that would also mean a 7 V drop in R_1. since a gain of 12 V added with (-12 V drop) must sum to zero based on the kirchhoff's law
 
Last edited:
warnexus said:
charges gain energy at emf and lose energy in resistors. what you stated previously would mean the voltage drop is 12 V
A voltage drop of 5V across R2 means there is a voltage drop of 7V across R1 because the source emf is 12V .
 
SammyS said:
A voltage drop of 5V across R2 means there is a voltage drop of 7V across R1 because the source emf is 12V .

yes that is right. apparently I need to draw a CW(Clock wise loop to represent the state of emf) in this region of the circuit

i noticed I also need to find power dissipation which are in joules. which would mean I cannot used the stored energy equation. how would I go about finding power dissipation?
 
Last edited:
warnexus said:
yes that is right. apparently I need to draw a CW(Clock wise loop to represent the state of emf) in this region of the circuit

i noticed I also need to find power dissipation which are in joules. which would mean I cannot used the stored energy equation. how would I go about finding power dissipation?
Do you have a textbook or notes? This is very basic stuff.
 

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