Solving Electric Current Homework

AI Thread Summary
The discussion focuses on solving a homework problem involving a battery's emf and internal resistance, connected to a variable resistance. The equations derived include E = Ir + I R for determining emf and r = (E - R)/I for internal resistance. A calculation for resistance producing a current of 3 amperes yields R = 1 ohm. Participants express uncertainty about using Kirchhoff's loop rule and correcting terms in their equations. The conversation emphasizes the importance of accurately applying circuit laws to find the required values.
Kandycat
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Homework Statement


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A battery with emf, E, and internal resistance, r, is connected to a variable resistance, R, at points X and Y, as shown above on the left. Varying R changes, both the current I and the terminal voltage Vxy. The quantities I and Vxy are measured for several values of R and the data are plotted in a graph, as shown above the right.

(a) Determine the emf of the battery.

(b) Determine the internal resistance of the battery.

(c) Determine the value of the Resistance that will produce a current I of 3 amperes.

(d) Determine the maximum current that the batter can produce.

Homework Equations



V=IR

The Attempt at a Solution



I attempted to use Kirchhoff's loop rule. I'm not sure if I should be using it or not.

(a) E - Ir - R = 0
E = Ir + R

(b) r = (E - R)/I

(c) V = IR
R = V/I = 3V/3A = 1 ohms

(d) I have no idea what to do.

Help?
 
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Kandycat said:

The Attempt at a Solution



I attempted to use Kirchhoff's loop rule. I'm not sure if I should be using it or not.

(a) E - Ir - R = 0
E = Ir + R

Instead of "R", that term should be "I R", the voltage across resistor R.
 
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