Introduction to Electrical & Computer Engineering
Y‐Delta Transformations &
Wheatstone Bridge
Dr. Cynthia Furse
University of Utah
1
Y‐Delta Transformations
& Wheatstone Bridge
• Identifying Y‐Delta
• Y‐Delta (or T‐Pi) Transformations
• Wheatstone Bridge
2
Y‐Δ (also called T‐Π)
Series? No … Parallel? No…
Bridge Circuit with no two resistors sharing the same
current or same voltage
Circuits, Second Edition by Fawwaz T. Ulaby and Michel M. Maharbiz, © NTS
All rights reserved. Do not reproduce or
Press, Used with Permission by the Publisher
distribute.
© 2013 National Technology and Science Press
Y‐Δ (also called T‐Π)
Circuits, Second Edition by Fawwaz T. Ulaby and Michel M. Maharbiz, © NTS
All rights reserved. Do not reproduce or
Press, Used with Permission by the Publisher
distribute.
© 2013 National Technology and Science Press
Circuits, Second Edition
by Fawwaz T. Ulaby and
Michel M. Maharbiz, ©
NTS Press, Used with
All rights reserved.by
Do not
reproduce or
Permission
the
distribute.
© 2013 National Technology and Science
Publisher
Press
Circuits,
Second Edition
All rights reserved. Do not reproduce or
distribute.
by Fawwaz
T. Ulaby and
© 2013 National Technology and Science
Press
Michel
M. Maharbiz, ©
NTS Press, Used with
Permission by the
Publisher
Bridge Network Simplifications
Credit: Wikipedia (Y-Delta Transform)
7
Bridge Network Simplifications
Credit: Wikipedia (Y-Delta Transform)
8
Wheatstone Bridge
• Measurement
instrument based on
differential
measurement
• Balanced Condition:
• Determine unknown
resistance based on
“balanced” condition
Circuits, Second Edition by Fawwaz T. Ulaby and Michel M. Maharbiz, © NTS
Press, Used with Permission by the Publisher
Wheatstone Bridge
• Measurement
instrument based on
differential
measurement
• Balanced Condition:
• Determine unknown
resistance based on
“balanced” condition
For balanced
condition
Circuits, Second Edition by Fawwaz T. Ulaby and Michel M. Maharbiz, © NTS
Press, Used with Permission by the Publisher
Wheatstone Sensor
Circuits, Second Edition by Fawwaz T. Ulaby and Michel M. Maharbiz, © NTS
Press, Used with Permission by the Publisher
Y‐Delta Transformations
& Wheatstone Bridge
• Identifying Y‐Delta
• Y‐Delta (or T‐Pi) Transformations
• Wheatstone Bridge
12
Mountain Goats
Uinta Wilderness Area, Utah
13