Physics · Electrostatics
Consider a parallel plate capacitor (distance between the plates d, and permittivity ε0). The space charge density between the plates varies as ρ(x) = ρ0e-x. If the voltage V = 0 both at x = 0 and x = d, then the voltage V(x) at a distance x between the plates is given by [ρ0 is a constant of appropriate dimensions]:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1ρ0ε0[e-x + 1 - e-ddx - 1]✓
- 22ρ0ε0[e-x + 1 - e-ddx - 1]
- 3ρ02ε0[e-x + 1 - e-ddx - 1]
- 43ρ0ε0[e-x + 1 - e-ddx - 1]
Correct answer
ρ0ε0[e-x + 1 - e-ddx - 1]
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