A circular conductor encloses a uniform magnetic field that is perpendicular to the page (not shown), pointing inward and increasing. The magnetic field outside the circular loop is zero. Suppose the changing magnetic flux induces a 7.5-V emf in the conductor and the conductor's resistance is 1.0 0. Imagine connecting two voltmeters to the conductor (see figure below). The clockwise distance from A to B is one-fourth the circumference, Because the resistance of a wire is proportional to its length, this portion of the loop has resistance R1 = 0.25 0. Likewise, the clockwise distance from B to A is three-fourths the circumference, so this portion's resistance is R2 - 0.75 0. It may seem incredible, but what a voltmeter measures depends on its placement; it can be shown that V- V-E. Find the voltage measured by both meters. Hint: Kirchhoff's loop rule (and other rules) may be applied to a loop that does not enclose the changing magnetic flux. (Indicate the direction with the sign of your answer.) Path I R2- 0.75 2 (v R 0.25 0 90.0 Path 2

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A circular conductor encloses a uniform magnetic field that is perpendicular to the page (not shown), pointing inward and
increasing. The magnetic field outside the circular loop is zero. Suppose the changing magnetic flux induces a 7.5-V emf in the
conductor and the conductor's resistance is 1.0 0. Imagine connecting two voltmeters to the conductor (see figure below). The
clockwise distance from A to 8 is one-fourth the circumference. Because the resistance of a wire is proportional to its length, this
portion of the loop has resistance Ry = 0.25 0. Likewise, the clockwise distance from 8 to A is three-fourths the circumference,
so this portion's resistance is R2 = 0.75 0. It may seem incredible, but what a voltmeter measures depends on its placement; it
can be shown that V - V - E. Find the voltage measured by both meters. Hìnt: Kirchhoff's loop rule (and other rules) may be
applied to a loop that does not enciose the changing magnetic flux. (Indicate the direction with the sign of your answer.)
V -
V2 =
Path I
R- 0.75 1
(vR 0.25 0
90.0
Path 2
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Transcribed Image Text:DETAILS MY NOTES ASK YOUR TEACHER A circular conductor encloses a uniform magnetic field that is perpendicular to the page (not shown), pointing inward and increasing. The magnetic field outside the circular loop is zero. Suppose the changing magnetic flux induces a 7.5-V emf in the conductor and the conductor's resistance is 1.0 0. Imagine connecting two voltmeters to the conductor (see figure below). The clockwise distance from A to 8 is one-fourth the circumference. Because the resistance of a wire is proportional to its length, this portion of the loop has resistance Ry = 0.25 0. Likewise, the clockwise distance from 8 to A is three-fourths the circumference, so this portion's resistance is R2 = 0.75 0. It may seem incredible, but what a voltmeter measures depends on its placement; it can be shown that V - V - E. Find the voltage measured by both meters. Hìnt: Kirchhoff's loop rule (and other rules) may be applied to a loop that does not enciose the changing magnetic flux. (Indicate the direction with the sign of your answer.) V - V2 = Path I R- 0.75 1 (vR 0.25 0 90.0 Path 2 Need Help? Read it
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