Polystyrene Capacitor
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find the equivalent capacitance?
Suppose that the capacitance of a capacitor in the absence of a dielectric is 18.8 pF, and the capacitor is charged to a potential difference of 13.0 V. If the battery is disconnected, and a slab of polystyrene (κ = 2.56) is inserted between the plates, calculate the energy difference U(initial) - U
Initial Capacitance (c)
= 18.8 pF
Initial Voltage (V) = 13 V
So initial charge (q)
= (18.8 * 13) pC
Initial Potential Energy (u)
= ( q * q )/( 2 * c)
=(18.8*13*13*18.8)/(2*18.8)
After inserting the slab, only charge remains constant and all other quantities change.
New Capacitance (C) = c * k
= (18.8 * 2.56) pF
New Potential Energy (U)
= ( q * q )/( 2 * c * k)
Difference of Energies (dU)
= (u - U) = 968.05313 pJ.
(Solve it and you will get this answer.)
GOOD LUCK.....
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