An iron wire with a diameter of 2 mm will be used to connect a voltage source to a 100 kΩ resistor. Numbers for conductivity and resistivity can be found in the textbook. (a) What is the current needed to flow through the resistor if the resistor is to produce 1 mW of heat? (b) What is the voltage drop across the 100 kΩ resistor if it has the current you found in (a)? (c) How long would your iron wire have to be to produce a 0.01 V drop along the length of the wire, assuming the current you found in (a)?

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
Publisher:OpenStax
Chapter9: Current And Resistance
Section: Chapter Questions
Problem 46P: An electronic device designed to operate at any temperature in the range from 10.0C to 55.0C...
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An iron wire with a diameter of 2 mm will be used to connect a voltage
source to a 100 kΩ resistor. Numbers for conductivity and resistivity can be found in
the textbook.
(a) What is the current needed to flow through the resistor if the resistor is to produce
1 mW of heat?
(b) What is the voltage drop across the 100 kΩ resistor if it has the current you found
in (a)?
(c) How long would your iron wire have to be to produce a 0.01 V drop along the
length of the wire, assuming the current you found in (a)?
(d) How much power is lost through the iron wire (assume the length you find in (c))?

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