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A device can be modeled using a voltage source in series with a resistance. That

ID: 1808215 • Letter: A

Question

A device can be modeled using a voltage source in series with a resistance. That device is shown in Figure P2.1. Draw the circuit elements inside the device A set of resistors was connected to the terminals of the device, one at a time, and the voltage at the device terminals, v., was measured in each case. The results are shown in Table P2.1. Then, a 10[ Ohm ] resistor was connected to the terminals of the device. Using KVL and Ohm's law write an equation that includes VT and iT Find the power absorbed by this 10[ Ohm ] resistor, when it is connected to the device terminals. (PWA Problem 4 in Module 1)

Explanation / Answer

assuming the device to be a voltage source of voltage V and internal resistance R,

when external ressitance =5 ohm,

current=-3.32/5=-0.664 A

so using KVL,

-3.32-0.664*R=v

similarly for external resistance=15 ohms

current=-24.2/15=-1.613A

so using KVL,

-24.2-1.613*R=v

solving for R and V,

R=22 ohm

v=-11.3 volt


so when 10 ohm is connected ,current be let i.

then i*10+i*22=-11.3

i=-0.353 A

power=10^2*0.353=35.3 W

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