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Note: Use principles of physics to solve the problem and then verify your answer

ID: 2030663 • Letter: N

Question

Note: Use principles of physics to solve the problem and then verify your answer using the simulation.

(a) When you are setting up equations to solve for the unknowns in a multiloop circuit you are free to choose directions for the currents in each branch of the circuit. When you solve for the unknowns how will you know whether the direction you chose for a particular current is the direction that current actually goes?
If you chose the wrong direction for a particular current the current will be negative. In this case you'll have to solve the entire problem again, setting up new equations based on the correct current direction, because the value you got for this current does not mean anything.
If you chose the wrong direction for a particular current the current will be negative. That's perfectly fine, though, because the magnitude of the current will be correct.
If you chose the wrong direction for a particular current the current will be negative. In addition, when you solve for the other unknowns they will be incorrect because of the way the equations link the unknowns.

(b) Without changing anything else, reverse the direction shown for the current labeled I2 by selecting one of the buttons in the "I2 goes..." part of the simulation window. What impact does reversing the direction you choose for this current have? Select all that apply.
The arrow showing which way I2 goes on the circuit diagram reverses direction.
The sign on I2 is flipped.
The current I2 reverses direction in the circuit.
The junction equation (shown above the three loop equations) changes.
All three loop equations change.
Every sign in the "right loop" and "left loop" equations is flipped.
The sign in front of each term involving I2 in the loop equations is flipped.
All three currents change direction.

(c) Which of the following statements about this situation are true? Select all that apply.
Increasing the voltage of battery 3 always results in an increase in the magnitude of I3, the current through that battery.
Because of the way the three batteries are arranged, and when at least one of the batteries has a non-zero voltage, the current labeled I2 is always larger in magnitude then either of the other two currents.
Because of the way the three batteries are arranged, and when at least one of the batteries has a non-zero voltage, the current labeled I3 is always directed up through battery 3.
Because of the way the three batteries are arranged, and when at least one of the batteries has a non-zero voltage, the current labeled I2 is always directed down through battery 2.
If resistors 1 and 3 have equal resistance values the magnitude of their currents must also be equal.
The point of highest potential in the circuit is always the point at the top center of the circuit, where the green, blue, and red branches meet.

Explanation / Answer

a) Assuming a wrong direction for the currents in the circuit only yields negative value with correct magnitude.We must use the negative value in figuring out remaining equations.But we must bear in mind that actual current directions are opposite to assumed ones if calculated values are negative and also must specify the same.

Diagram for remaining questions not given, so unable to solve.

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