• # question_answer Regarding units of $C{{R}^{2}}$ (C = capacitance and R = resistance e), study the following statements: (i) henry                         (ii) $\frac{\text{volt - second}}{\text{ampere}}$ (iii) $\frac{\text{volt }}{\text{ampere}}$              (iv) $\frac{\text{joule }}{\text{amper}{{\text{e}}^{2}}}$ The correct statements are A) (i), (ii) and (iii) B) (i), (ii) and (iv) C) (iii) and (iv)          D) (ii) and (iii)

[b] Time constant in $C-R$and $L-R$ circuits are CR and$\frac{L}{R}$respectively. Hence          $CR\equiv L$ or              $C{{R}^{2}}\equiv L$ i.e., units of $C{{R}^{2}}$ and L are same. Now   $|e|=L\left( \frac{di}{dt} \right)$ and $U=\frac{1}{2}L{{i}^{2}}$ Therefore, units of L or $C{{R}^{2}}$ are Henry, $\frac{volt-\sec ond}{ampere}$ and$joule/amper{{e}^{2}}.$
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