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A capacitor consists of two parallel plates, each with an area of 17.0 cm2 , separated by a distance of 0.150 cm . The material that fills t
Question
A capacitor consists of two parallel plates, each with an area of 17.0 cm2 , separated by a distance of 0.150 cm . The material that fills the volume between the plates has a dielectric constant of 5.00. The plates of the capacitor are connected to a 400 V battery.
What is the capacitance of the capacitor?
What is the charge on either plate?
How much energy is stored in the charged capacitor?
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Physics
4 years
2021-07-27T02:34:22+00:00
2021-07-27T02:34:22+00:00 1 Answers
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Answers ( )
Answer:
Explanation:
Area of plate
A = 17cm² = 0.00017m²
Separation distance
d = 0.15cm = 0.0015m
Dielectric material k = 5
The plate of the capacitor are connected to
Voltage =400V
a. Capacitance of the capacitor?
Capacitance of the capacitor can be determine by
C = kεA/d
ε = 8.854 × 10^-12F/m
C=5×8.854×10^-12×0.00017/0.0015
C = 5.017 × 10^-12 F
C = 5.017 pF.
The capacitance of the capacitor is 5.017 picoFarad
b. The charge on a capacitor is given as
q = CV
q = 5.017 ×10^-12 × 400
q = 2.007 × 10^-9
q = 2.007 nC
Each plate has a charge of 2.007nC but one is positive and the other is negative
Q1 = +2.007nC
Q2 = – 2.007nC
So the charge on each plate is ±2.007 nano Coulombs
c. Energy stored in a capacitor is given as
E = ½CV²
E = ½ × 5.017×10^-12 × 400²
E = 4.0136 ×10^-7 J
So the energy stored by the capacitor is 4.0136 × 10^-7 J.