Question

An infinitely large thin dielectric sheet of positive
charge has area density of charge σ. If point A is at
distance a and point B at distance 3a from this sheet
then potential difference between B and A, VB - VA
will be​

Answer 1

2σa/$E_{0}$

Explanation:

Given that,

Infinite Large Thin dielectric sheet has +ve charge

Distance at point A = a

Distance at point B = 3a

As we know,

V = E * d

E = σ/$E_{0}$

∴ V = σ/$E_{0}$ * d

$V_{B}$ = (σ * 3a)/$E_{0}$

$V_{A}$ = (σ * a)/$E_{0}$

Thus,

$V_{B} - V_{A}$ = [(σ * 3a)/$E_{0}$] - [ (σ * a)/$E_{0}$ ]

= 2σa/$E_{0}$

Thus, 2σa/$E_{0}$ is the difference between $V_{B} - V_{A}$.

Learn more: Potential Difference

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