It takes 52,000 Joules to heat a cup of coffee to boiling from room temperature. How long a piece of 20 cm wide Aluminum foil would it take to make a capacitorlarge enoughto hold this amount of energy if one were to use plastic garbage bag with a 2.6 x 10-5m thickness that breaks down at 610 volts as a dielectric

L = 1.11 x m, is the length of piece of 20 cm wide Aluminum foil to make capacitor large enough to hold 52000 J of energy.

Explanation:

Solution:

Data Given:

Heat Energy = 52000 J

Dielectric Constant of the plastic Bag = 3.7 = K

Thickness = 2.6 x m =d

V = 610 volts

A = width x Length

width = 20 cm = 20 x m

Length = ?

So,

we know that,

U = 1/2 C Δ

U = 52000 J

C = ?

V = 610 volts'

So,

U = 1/2 C Δ  

52000 J = (0.5) x (C) x ()

C = 0.28 F

And we also know that,

C =

E = 8.85 x

K = 3.7

A = 0.20 x L

d = 2.6 x m

Plugging in the values into the formula, we get:

0.28 =

Solving for L, we get:

L = 1.11 x m,

is the length of piece of 20 cm wide Aluminum foil to make capacitor large enough to hold 52000 J of energy.  

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