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Problem 48 Hard Difficulty

For the circuit shown in Figure P 18.48, the voltmeter reads 6.0 $\mathrm{V}$ and the ammeter reads 3.0 $\mathrm{mA}$ . Find (a) the value of $R,$ (b) the emf of the battery, and (c) the voltage across the 3.0 $\mathrm{k} \Omega$ resistor. (d) What assumptions did you have to make to solve this problem?

Answer

a. 2000 \Omega
b. 15 \mathrm{V}
c. 9.0 \mathrm{V}
d. no answer available

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Video Transcript

in this particular problem, Wood meter reading is given a 64 I'm into reading is given us three million beer. We need to find the value of the register are in step, eh? So we'll start with that. We can use a simple forms law in this case. So right here using homes low we are is equal to I r might be played by resistance. Therefore, it is six Ward, which is given I r is giving us three million Pierre Mighty play. They are Therefore our music will do six Ford do. I didn't buy three, including Minister Ministry, which is coming? Yes, 2000 homes which we can ready does even to kill homes. And this is the value off our that we have. So that's Marc. This is an answer for the step, eh? No. Instead, be We need to find the value off the battery. That is absolute. Now we need to look like a view in the loop. Celebrated That is applying. Gave you that is good jobs. Word is law in the loop, which is mation does some off or did this all you can see as potential differences? It grows all the components in the loop? Yeah, is zero. So now we are moving and the clock ways as per the conventional direction of the current from positive to negative. And accordingly, I have put the polarities across the distress that is our as well a strictly lobes to start here. So absolute minus off Tricky looms might be played by good. And I are So this is a working shop across regular again, minus are and my deployed by cutting tour is equal. Do serial Now let's put the values to find the value of absolute That is a battery so absolute minus 3000 into value Fire is streaming the impious three indoor dentistry Ministry minus value of our is 2000 My deployed by three include and extra minus tree music will do here. So therefore Absalom minus nine minus six is equal to zero. No, what? We get it as Absalon is equal to 96 which is equal to 15 words. So while you have the battery, dashed is 15 walls and that is the answer for step. Be no step. See, we need to comfort the wattage across three glow Select the world stage It grows three kilo ohm resistor be we three key home This is what we need to find out. So in this case also we can simply use the arms law because since we know that got in flowing through three cologne music will do the same current which is going through are which is equal to three million pier which is given okay for using simply Oh miso what we get here as well Didja Karan streaking rooms is equal to got interviewed is flowing through it multiplied by that a distance, right, That is freaky. So it is equal to three million Pierre into three kilo which is coming as nine words. Therefore wordage across to glow is equal to nine holes. This is a typical answer that we have got here. No, In the next year it has been asked that what assumptions are we making in order to solve this particular problem so well with the exemptions, step by step principal will write all the devices. Here are all compliments you can see used in this circuit. I fancy dude to be idea Next batteries in during the resistance is dance. He learned where you also potential difference what I am sure difference. It gross. And Amedeo is said to be negligible. So these exemptions I made you're so the thrilled I'm here. This will be the final answer for step T.

Top Physics 102 Electricity and Magnetism Educators
Andy C.

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Hope College

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University of Sheffield

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