Problem: 1) A capacitor consists of two 6.0-cm-diameter circular plates separated by 1.0 mm. The plates are charged to 170V , then the battery is removed.A) How much energy is stored in the capacitor?B) How much work must be done to pull the plates apart to where the distance between them is 2.0 mm?

FREE Expert Solution

A)

Energy stored in the ca[acitor:

$\boxed{\mathbf{U}\mathbf{=}\frac{\mathbf{1}}{\mathbf{2}}\mathbf{C}{\mathbf{V}}^{\mathbf{2}}}$

Capacitance, C:

$\boxed{\mathbf{C}\mathbf{=}\frac{{\mathbf{\epsilon }}_{\mathbf{0}}\mathbf{A}}{\mathbf{d}}}$

A = πr², where r = D/2 = 6.0/2 = 3.0 cm

A = π(3.0 × 10^-2)² = 2.83 × 10^-3 m²