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The answer is D - the book vaguely explains that due to symmetry the current through R3 would never exist. Can you explain more in depth, as to why? What properties, or like the loop rule or something?

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Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

A copper wire loop is constructed so that its radius,r, can change. It is held near a solenoid that has a constant current through it.


a) Suppose that the radius of the loop was increasing. Use Lenz's law to explain why there would be an induced current through the wire. Indicate the direction of that current.
b) check your answer regarding the direction of the induced current by considering the magnetic force that is exerted on the charge in the wire of the loop.
c) find the direction of the magnetic moment of the loop
d) find the direction of the force exerted on the loop by the solenoid.

Image for A copper wire loop is constructed so that its radius,r, can change. It is held near a solenoid that has a consB-field lines run from the left to right through both the loop and solenoid)

 

Sketch, in a plot like the one below, the voltage as one moves around the outer loop in the circuit from part A, from point C through V1 to point D, through R1 to A, through V2 to B, then back to C. Assume point C is at zero volts. Label specific voltages on the y-axis; in other words, the graph should show quantitatively the change in voltages through this loop. The graph has been started for you (dashed line).

3.  Explain specifically how one could use the graph above to determine the current flow (direction and magnitude) through resistor R1, which has a resistance of 5 Ohms.

A coil of wire is connected to a power supply, and a currentruns in the coil. A single loop of wire is located near the coil,with its axis on the same line as the axis of the coil. The radiusof the loop is 2 cm.




At time t1 the magnetic field at the center of the loop, due to thecoil, is 0.4 T, in the direction shown in the diagram; the currentin the coil is constant.

(a) What is the absolute value of the magnetic flux through theloop at time t1?
Φ mag = T m2
(b) What approximations or assumptions did you make in calculatingyour answer to part (a)?

Check all that apply.

1.The magnitude of the magnetic field due to the coil is uniformover the area of the loop.
2.The magnetic field outside the loop is zero.
3. The magnetic field due to the coil is uniform in direction overthe area of the loop.


(c) What is the direction of the "curly" electric field inside thewire of the loop at time t1? (Remember that at this time thecurrent in the coil is constant.)
E = 0

At a later time t2, the current in the coil begins todecrease.

(d) Now what is the direction of the "curly" electric field in theloop?
counter-clockwise
At time t2 the rate of change of the magnetic field at the centerof the loop, due to the coil, is -0.36 T/s.
(e) At this time, what is the absolute value of the rate of changeof the magnetic flux through the loop?
|dΦmag/dt| = T m2/s
(f) At this time, what is the absolute value of the emf in theloop?
|emf| = V
(g) What is the magnitude of the electric field at location P,which is inside the wire?
|E| = V/m
(h) Now the wire loop is removed. Everything else remains as it wasat time t2; the magnetic field is still changing at the same rate.What is the magnitude of the electric field at location P?
|E| = V/m

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