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(Solved): 1 I. 2or A small circular metal ring of radius r is concentric with a large circular metal ring of r ...
1 I. 2or A small circular metal ring of radius r is concentric with a large circular metal ring of radius 20r. Current in the outer ring flows clockwise due to an un- pictured power supply. By adjusting the power supply, you can adjust I, the current in the large ring. The graph below shows i(t). ar is concentric with a large circular
metal ring of radius 20r. Current in the
outer ring flows clockwise due to an
unpictured power supply. By adjusting
the power supply, you can adjust I, the
current in the large ring. The graph
pictured shows I(t).
a. Sketch a rough, qualitative graph of the current in the small ring as a function of
time. Let 'positive' current correspond to current flowing clockwise in the ring.
b. The small ring is made of a copper wire of cross-sectional area a. What is the
resistance of the small ring? Let \rho _(Cu) be the resistivity of copper. Call your answer
R.
c. Using the Biot-Savart law, find the magnetic field, B (magnitude and direction)
due to the large ring at the center of the small ring when the current in the large
ring is -0.8I_(o). The direction can be described by words such as "into the page" or
"out of the page." Answer in terms of r,I_(o), and known constants.
d. When the current in the large ring is -0.8I_(o), what is the current in the small ring?
Neglect the small ring's self-inductance. Answer in terms of R,r,I_(o),t_(1),t_(2),t_(3), and
known constants. The B field can be taken as uniform over the small ring.