The current in a 100 watt lightbulb is 0.900 A . The filament inside the bulb…
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Question “The current in a 100 watt lightbulb is 0.900 A . The filament inside the bulb…”
1-What is the current density in the filament? (with units)
2-What is the electron current in the filament? (with units)
Answer
This problem can be solved using two concepts: current density and electrical current.
First, calculate the current density of the filament within the bulb by measuring current through the bulb and the area of cross-section of the bulb. Next, calculate the electron current inside the filament using current in a light bulb and the charge of the electron.
The current density of the filament inside the bulb is described as,
J refers to the current density. I refers to the current flows within the filament. A refers to the area of filament inside the bulb.
The bulb’s area is.
d is the diameter of the filament within the bulb.
The electron current that passes through the filament can be described as:
refers to the electron current, and refers to the charge of an electron.
(1)
The bulb’s area is.
to get A.
The bulb’s current density is determined by the filament.
To find J, substitute
with I and
with A.
(2)
The electron current that passes through the filament is called,
To find
, substitute
in place of I.
Part 1: Ans
The current filament density is
.
Part 2
The electron current flowing in the filament is
.
Conclusion
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