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Problem 19 Easy Difficulty

Figure P 18.19 shows a Wheatstone bridge, a circuit used to precisely measure an unknown resistance R by varying $R_{\mathrm{var}}$ until the ammeter reads zero current and the bridge is said to be "balanced." If the bridge is balanced with $R_{\mathrm{var}}=9.00 \Omega,$ find (a) the value of the unknown resistance $R$ and $(b)$ the current in the $1.00 \Omega$ resistor. (Hint: With the bridge balanced, the wire through the ammeter can effectively be removed from the circuit, leaving two pairs of resistors in parallel.)

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Video Transcript

in the first word of this problem, we're going to help lead the unknown resistance in order to kill clearly known resistance. Let me ride the formula R equals to our X divided by our one multiplied by two. Let's call it a quick one. While sitting the weather's into this Gordon, we will get articles to mine 0.0 long divided by 3.0 all multiplied by 1.0 This will give us so. Articles too. Three point generals, you know. Oh, in part b of the question, we're going to kill. Play the current flowing through the resist off resistance 1.0 I'll let these resistances I want in order to kill Claire. This I won't let me Let me find the will you for effective resistance off that section, Ari one equals two are two plus our as a desire and Otto are in Siri's combination. So the French people resistance will be killed clergy. Through this formula, there scored equation too. No writing the Williams for our two and our we would get rd one equals to 1.0 plus 3.0 This will give us rd one equals two. 4.0 No, the current will be I want equals two We wanted by everyone. Let's call it a question. Three. Putting the wells in tow equation too. We will get I want B equals 29.0 world divided by 4.0 So the answer will be two point to five from bad, so end of the question.

Other Schools
Top Physics 102 Electricity and Magnetism Educators
Elyse G.

Cornell University

Andy C.

University of Michigan - Ann Arbor

Marshall S.

University of Washington

Jared E.

University of Winnipeg

Physics 102 Electricity and Magnetism Bootcamp

Lectures

Join Bootcamp