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In the multiloop circuit shown below, all the resistors have resistance of 4.0 o

ID: 1307719 • Letter: I

Question

In the multiloop circuit shown below, all the resistors have resistance of 4.0 ohm and all the (ideal) batteries have an emf of 4.0 V. What is the current through the resistor labeled R? For questions 9 and 10, you are considering the circuit diagram to the right, which is composed of four resistors and two batteries. There are also three points (a, b, and c) in the circuit you that you will be examining (these are just points in the wire and have no circuit elements at those locations). Consider the currents through these points to be Ia, Ib, and Ic, respectively. When referring to current in these questions, please note that we are always referring to conventional current. Which of the following loop equations are possibly correct for this circuit? Which of the following equations correctly describes the relationship between the magnitudes of Ia and Ib?

Explanation / Answer

1) applying KVL,

E+E+E+E+i*R-E=0

or 3E+iR=0

or i=3E/R

=3 A (d)

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