(a)
Find the resistance of the heater.
(a)
Answer to Problem 103P
The resistance of the heater is
Explanation of Solution
Write the equation for resistance from power.
Here,
Conclusion:
Substitute
Therefore, the resistance of the heater is
(b)
Find the current in the wire.
(b)
Answer to Problem 103P
The current in the wire is
Explanation of Solution
Write the equation for current from power.
Here,
Conclusion:
Substitute
Therefore, the current in the wire is
(c)
Find the diameter of the wire.
(c)
Answer to Problem 103P
The diameter of the wire is
Explanation of Solution
The wire has a circular cross section, then write the equation for area of this cross section.
Here,
Write the equation for resistance of the wire.
Here,
Write the equation for resistivity.
Here,
Substitute equation III and V in equation IV.
Rewrite the above equation to get diameter of the wire,
Conclusion:
Substitute
Therefore, the diameter of the wire is
(d)
Find the current in the wire when it is turned on.
(d)
Answer to Problem 103P
The current in the wire when it is turned on is
Explanation of Solution
Write the equation for resistance.
Here,
Write the equation for current
Conclusion:
Substitute
Substitute the above value in equation VIII.
Substitute
Therefore, the current in the wire when it is turned on is
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