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(a) What is the internal resistance of a voltage source if its terminal voltage drops by 2.00 V when the current supplied increases by 5.00 A? (b) Can the emf of the voltage source be found with the information supplied?

$R = 0.4 \Omega$

Physics 102 Electricity and Magnetism

Chapter 21

Circuits, Bioelectricity, and DC Instruments

Direct-Current Circuits

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So we want to find the internal resistance of some golden shores where we know that if the current is increased by five amps, then the resulting terminal hold ege will actually be decreased by two goals. So we have this expression, these two expressions here that depict the relationship between the initial and final current and terminal voltages. This is they're trying to find for the internal resistance. What we want to do is we want to put this second equation into terms where we can actually get the internal resistance expressed in the equation. So what I'm gonna do is I'm gonna rewrite the terminal voltage in terms of the MF and the voltage lost due to the internal resistance. So once I do that So basically, just show that the increase in the voltage drop due to internal resistance is going to the same as the voltage lost. So that voltage Austin, the terminal voltage is just going to be increased by two in the voltage due to the internal assistance. So now I can rewrite this voltage in terms of the current and the internal resistance. So here we will get is this expression right here And then just to some algebra, we can bring our over this expression to the other side, take our out and we'll get this expression right here. Onda, We know what the relationship between the initial and the final current is. I assume we arranged this. This first formula right here we're gonna get is our times five equal to two and then solving for or that gives us an internal resistance of point for OEMs. Now, with the information that we've been given, um, let's see if we confined what the MF whether it's even possible to determine what the IMF is in this case. So first we have to lay out all the functions that we have, all the relationships that relate the unknowns to each other. So we know what the relationship between the terminal voltages and we have two expressions with the mass terminal voltage, the current in the internal resistance. We also have this expression that relates the initial and final terminal voltages, and we have an expression for the initial and final current. So if we count the number of unknowns that we have, we actually have five. So we have video Absalon Io BT and the internal resistance. So that's five unknowns. But in this case, we only have four equations to relate these unknowns to each other. And when solving for a system of equations, you always need the same amount of equations as you do unknowns. So in this case, we would not be able to solve for the MF without additional information.

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