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Each of two identical uniform metal bars has a resistance $R .$ If they are welded together along one-third of their lengths (see Figure $19.54 ),$ what is the resistance of this combination in terms of $R ?$

$$R_{e q}=1.5 \mathrm{R}$$

Physics 102 Electricity and Magnetism

Chapter 19

Current, Resistance, and Direct-Current Circuit

Electric Charge and Electric Field

Gauss's Law

Electric Potential

Capacitance and Dielectrics

Current, Resistance, and Electromotive Force

Direct-Current Circuits

Electromagnetic Induction

Rutgers, The State University of New Jersey

University of Washington

Simon Fraser University

Hope College

Lectures

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we have two rods on 1/3 off their land are joined together now because we know that ranges link the resistance is proportional to linked. We know that this part which has a link 2/3 ofthe l other resistance 2/3 ofthe are on this part. Has the resistance are white tree similarly here? This part has the resistance Army three on this part Has the resistance to a tree are And this system can be thought of as a circuit with resistance two but three are then this bite Where? That too. Roger. In parallel. Excuse us this and then the remaining the remainder This part in this case, this this one will be our victory. This will be our victory and this will be to our victory. Now that we have this, we can see that the equal and resistance off this part is our by six. No, because these were simply in Siri's. Our total assistance, our new will be the sum off this tree to what we are less are by six. Let's do by three are which hears us. So you might do are if we do the math. This is the resistance off this system.

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