A student uses dimensional analysis to analyze the time () it takes for a capacitor (C) to discharge through a resistor (R). They correctly identify that depends on R and C. However, they are unable to derive the precise relationship . What limitation of dimensional analysis explains this?
Dimensional analysis cannot reveal purely numerical relationships between variables.
The analysis requires knowledge of the initial charge on the capacitor, which is not provided.
Dimensional analysis cannot handle exponential decay processes.
The relationship between , R, and C is logarithmic, not a power law.
Related Questions
If the formula for the velocity of a wave is given by , where is tension and is mass per unit length. Using dimensional analysis, which aspect of this formula cannot be derived?
The dimensions of velocity
The dimensions of tension
The dimensions of mass per unit length
That the relationship is a square root
