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Problem 26 Medium Difficulty

Figure P 18.26 shows a voltage divider, a circuit used to obtain a desired voltage $\Delta V_{\text { out }}$ from a source voltage $\mathcal{E}$ . Determine the required value of $R_{2}$ if $\boldsymbol{E}$ $=5.00 \mathrm{V}, \quad \Delta V_{\mathrm{out}}=1.50 \mathrm{V},$ and $R_{1}=1.00 \times 10^{3} \Omega .$ (Hint: Use Kirchhoff's loop rule, substituting $\Delta V_{\mathrm{out}}=I R_{2},$ to find the
current. Then solve Ohm's law for $R_{2} .)$

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Video Transcript

now, in this particular sum, I have modified the diagram by writing the component of Algiers across it, and in order to find the garden, which is running through it, let us understand that their jobs were digital first. All right. They're cool ass. That is gave you. And we're starting with the step, eh? To some of the war do differences. Some off world age differences. A gross the circuit. What we can see. Even the loop is zero dead before we can mention that some awful Gijs is equal to zero. Now, using this gay video, we can ride the loopy question as we're actually going clockwise in this case, starting from positive terminal off the battery that is absolute minus. I multiplied by our bond minus. I might be played that article because I is the same Gonna be just scrolling through autumn in an article and dad and sees easy Quinto seer dead for Absalon, minus I into armament. Ianto, Artem is denoted as we out. So instead of I r to automation, to be out here is equal to zero day four. In order to comfort the value of I, it is going to be absolute minus we out upon high one. Now let's substitute the values off the same. Therefore, hi he's equal to while you're off in Memphis. Firewood minus B out is given as 1.5 worked so fine minus 1.5 Would upon the value of register are one is 1000 homes. Therefore, if we calculate that we get the value of current, which is going to the circuit, he's off 3.5 into tenderness to my industry amperes. We just put the bracket good and this is the answer for Stimpy, that is, a value of current flowing to the circuit is off 3.5 million peers. Let's start with the step be We need to find the value off the register our toe. So Asper Home Joe Potential difference. I write it down. Potential difference. It's gross. An ideal conductor is proportional to current flowing through it. Therefore, the next step we can see that we out is proportional to the eye. So by using simply alms low, we can mention that we out is equal to current multiplied by its register dead. For since we know the values off the out and I, we can get the value of Phi Tau as the out along I. The value of me out is given as 1.5 words and value of the current is 3.5 in pretenders to minus three beers. When we saw this, we get the value off register. Are too is full 28 0.6 forms. This is the answer to the step be.

Top Physics 102 Electricity and Magnetism Educators
Christina K.

Rutgers, The State University of New Jersey

Marshall S.

University of Washington

Farnaz M.

Other Schools

Jared E.

University of Winnipeg

Physics 102 Electricity and Magnetism Bootcamp

Lectures

Join Bootcamp