Question:
Let \(\ell\), r, C and V represent inductance, resistance, capacitance and voltage, respectively. The dimension of \(\frac{\ell}{rCV}\) in SI units will be :
Let \(\ell\), r, C and V represent inductance, resistance, capacitance and voltage, respectively. The dimension of \(\frac{\ell}{rCV}\) in SI units will be :
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\(\frac{\ell}{r}\) has the dimension of time (L/R time constant) and \(CV=q\) has dimension of charge \(=\) current \(\times\) time.
Updated On: Nov 5, 2026
- [A-1]
- [LTA]
- [LA-2]
- [LT2]
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The Correct Option is A
Solution and Explanation
\(\frac{\ell}{r}\) is the L/R time constant, so \([\ell/r]=[T]\).
\(CV=q=It\), so \([CV]=[AT]\).
\(\left[\frac{\ell}{rCV}\right]=\frac{[T]}{[AT]}=[A^{-1}]\).
Answer: (1) [A-1]
\(CV=q=It\), so \([CV]=[AT]\).
\(\left[\frac{\ell}{rCV}\right]=\frac{[T]}{[AT]}=[A^{-1}]\).
Answer: (1) [A-1]
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