The slope of the graph of the time constant vs. resistance should be 1/C, where C is the capacitance. This is because the time constant (τ) of an RC circuit is equal to the product of the resistance (R) and the capacitance (C), τ = R * C. By rearranging the equation and solving for R, we get R = τ/C, which shows that resistance is inversely proportional to capacitance.
Similarly, the slope of the graph of the time constant vs. capacitance should be 1/R, where R is the resistance. This is because, using the same equation as above, when we solve for C, we get C = τ/R, showing that capacitance is inversely proportional to resistance.
What should be the slope of the graph of the time constant vs. resistance? What should be the slope of the graph of the time constant vs. capacitance?
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