1. The curve \(\Gamma\) is given by:
\[ y = b e^{-x/a}. \]
At \(x = 0\), the curve crosses the \(y\)-axis at \(y = b\).
2. The straight line \(L\) is given by:
\[ \frac{x}{a} + \frac{y}{b} = 1 \implies y = b \left(1 - \frac{x}{a}\right). \]
3. Check the intersection point of \(\Gamma\) and \(L\):
4. For the \(x\)-axis:
Thus, \(L\) touches \(\Gamma\) at the point where \(\Gamma\) crosses the \(y\)-axis.
A quantity \( X \) is given by: \[ X = \frac{\epsilon_0 L \Delta V}{\Delta t} \] where:
- \( \epsilon_0 \) is the permittivity of free space,
- \( L \) is the length,
- \( \Delta V \) is the potential difference,
- \( \Delta t \) is the time interval.
The dimension of \( X \) is the same as that of: