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## Homework Statement

State and use simple assumptions to show that ' Power is proportional to V^5' is the expected relationship for a pure tungsten filament bulb.

## Homework Equations

V=IR

I=dq/dt

Q=mcT

## The Attempt at a Solution

I tried to use a simple model where the rate of heat loss is proportional to the difference in temperature.

From there things got complex and i can't seem to see how to derive this