The Alchemist
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Homework Statement
Explain why the noise power across a resistor in thermal equilibrium is limited in contradiction to the formula for the noise V_{RMS} = \sqrt{4RkT\Delta f}
which states that if we measure with infinite bandwidth we have infinitely large power
Homework Equations
V_{RMS} = \sqrt{4RkT\Delta f}
The Attempt at a Solution
So the formula states that if a system measures the noise power of a resistor with infinite bandwidth is the noise power is infinitely large. But the noise power cannot exceed the internal energy of the resistor, which is not infinitely large. But I don't know where and why the formula can't hold anymore.
Thanks in advance