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प्रश्न
Two infinitely large plane thin parallel sheets having surface charge densities σ1 and σ2 (σ1 > σ2) are shown in the figure. Write the magnitudes and directions of the net fields in the regions marked II and III.
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उत्तर
In region II
The electric field due to the sheet of charge A will be from left to right (along the positive direction) and that due to the sheet of charge B will be from right to left (along the negative direction). Therefore, on region II, we have:
\[E = \frac{\sigma_1}{\epsilon_0} + \left( - \frac{\sigma_2}{\epsilon_0} \right)\]
\[ \Rightarrow E = \frac{1}{\epsilon_0}\left( \sigma_1 - \sigma_2 \right)\]
In region III
The electric fields due to both the charged sheets will be from left to right, i.e., along the positive direction. Therefore, in region III, we have:
\[E = \frac{\sigma_1}{\epsilon_0} + \frac{\sigma_2}{\epsilon_0}\]
\[ \Rightarrow E = \frac{1}{\epsilon_0}\left( \sigma_1 + \sigma_2 \right)\]
संबंधित प्रश्न
and ```vecE` and `vecB`denote electric and magnetic fields in a frame S and `vecE`→ and `vecB` in another frame S' moving with respect to S at a velocity `vecV` Two of the following equations are wrong. Identify them.
(a) `B_y^, = B_y + (vE_z)/c^2`
(b) `E_y^' = E_y - (vB_z)/(c^2)`
`(c) Ey = By + vE_z`
`(d) E_y = E_y + vB_z`
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