MCQ
The electric flux is $\phi=\alpha \sigma+\beta \lambda$ where $\lambda$ and $\sigma$ are linear and surface charge density, respectively, $\left(\frac{\alpha}{\beta}\right)$ represents
- Acharge
- Belectric field
- ✓displacement
- Darea
✓
Answer
Correct option: C.
displacement
(C)
$\begin{array}{l}\phi=\alpha \sigma+\beta \lambda \\ {[\phi]=[\alpha \sigma]=[\beta \lambda]} \\ {[\alpha]=\frac{[\phi]}{[\sigma]}} \\ {[\beta]=\frac{[\phi]}{[\lambda]}=\frac{[ Q / L ]}{[ Q / \text { Area }]}=\left[\frac{\alpha}{\beta}\right]=\frac{[\lambda]}{[\sigma]}} \\ {\left[\frac{\alpha}{\beta}\right]= L }\end{array}$
$\begin{array}{l}\phi=\alpha \sigma+\beta \lambda \\ {[\phi]=[\alpha \sigma]=[\beta \lambda]} \\ {[\alpha]=\frac{[\phi]}{[\sigma]}} \\ {[\beta]=\frac{[\phi]}{[\lambda]}=\frac{[ Q / L ]}{[ Q / \text { Area }]}=\left[\frac{\alpha}{\beta}\right]=\frac{[\lambda]}{[\sigma]}} \\ {\left[\frac{\alpha}{\beta}\right]= L }\end{array}$
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