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Answer on Electric Circuits Question for john

Question #14415

Joe was debugging part of an experimental apparatus, probing around with his voltmeter. Part of the apparatus had two obvious resistors in series with an unknown element, as shown in the diagram below:

The unknown element is hard to reach, so Joe put the negative (black) probe of his voltmeter at the interconnection of the two obvious resistors and then put the positive (red) probe at the other end of each resistor, measuring v1=1.4V and v2=0.9V.
What is the voltage (in Volts) v3 measured across the unknown element?


In the circuit shown there are four unknown elements and an independent voltage source.

The strength of the source V is given. Also, there are two known branch voltages: we know v1 and v2.
In terms of the known voltages, write an algebraic expression for the branch voltage v3. Be careful, algebraic expressions are case sensitive.


Write an algebraic expression for the branch voltage v4:


Write an algebraic expression for the branch voltage v5:

S1E7: KCL-0

While further poking around in his experiment, Joe found an exposed interconnect. It connected the positive output of the 5V power supply, a 3.3Ω resistor, and two unknown 2-terminal elements, as shown:

He couldn't trace where the other ends of the elements went. However, he had a nifty (very expensive!) Hall-effect clamp-on ammeter that he used to measure the three of the four currents entering the elements. He didn't have enough space to measure the current entering the fourth element. He found that i1=−0.7A, i3=3.0A, i4=1.3A.
What was the current (in Amperes) i2 into the fourth element?


Joe managed to get his ammeter probe around a wire and measured i5. What current (in Amperes) did he measure?


In the circuit shown there are six unknown elements.

By measurements we have values for three of the branch currents: i1, i2, and i3.
In terms of the known currents, write an algebraic expression for the current i4?


Write an algebraic expression for the current i5?


Write an algebraic expression for the current i6?

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