Calculate Charge on Catfish Parallel Plate Capacitor

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In summary, the estimated charge generated at each end of a catfish, treated as a parallel plate capacitor with plates of area 1.8 * 10-2 m2, separation 1. m, and filled with dielectric with a dielectric constant k = 95 and voltage of 350, is 5.29 * 10^-9 Coulombs. The difference in the calculated value and the value from the book may be due to careless errors.
  • #1
hotstuff
10
0
(c=keA/d
(b) Estimate the charge generated at each end of a catfish as follows: Treat the catfish as a parallel plate capacitor with plates of area 1.8 * 10-2 m2, separation 1. m, and filled with dielectric with a dielectric constant k = 95. with v=350. ans should be in C

seems easy enough but no getting the same ans at the back of the stupid book. this is what i have done so far.
find capacitance of parallel plate capacitor= c=keA/d = 8.85*10^-12*95*1.8*10m^2/1 = ans

and then use the q=cv= above ans*350 the back of the book is 5.3*10-9, i am getting 5.0 *10^-13 what is really good. any help appreciated
 
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  • #2
hotstuff said:
(c=keA/d
(b) Estimate the charge generated at each end of a catfish as follows: Treat the catfish as a parallel plate capacitor with plates of area 1.8 * 10-2 m2, separation 1. m, and filled with dielectric with a dielectric constant k = 95. with v=350. ans should be in C

seems easy enough but no getting the same ans at the back of the stupid book. this is what i have done so far.
find capacitance of parallel plate capacitor= c=keA/d = 8.85*10^-12*95*1.8*10m^2/1 = ans

and then use the q=cv= above ans*350 the back of the book is 5.3*10-9, i am getting 5.0 *10^-13 what is really good. any help appreciated
your approach is correct. book is also correct. check for careless errors.

[tex] Capacitance \ = \ \frac{(95)(8.85 \, \times \, 10^{-12})(1.8 \, \times \, 10^{-2})}{1.0} \ = \ 1.51 \, \times \, 10^{-11} \, Farads[/tex]

[tex] Charge \ = \ Capacitance \, \times \, Voltage \ = \ (1.51 \, \times \, 10^{-11}) \, \times \, (350) \ = \ 5.29 \, \times \, 10^{-9} \, Coulombs[/tex]
 
  • #3


Firstly, it is important to note that the formula for capacitance is C = ε₀ * k * A / d, where ε₀ is the permittivity of free space (8.85 * 10^-12 F/m). So, the correct calculation for the capacitance of the catfish parallel plate capacitor would be:

C = (8.85 * 10^-12 F/m) * 95 * (1.8 * 10^-2 m^2) / (1 m) = 1.5 * 10^-8 F

Next, to calculate the charge on each end of the catfish, we can use the formula Q = C * V, where Q is the charge, C is the capacitance, and V is the voltage. In this case, the voltage is given as 350 V. So, the charge on each end would be:

Q = (1.5 * 10^-8 F) * (350 V) = 5.3 * 10^-6 C

This is the same answer as the one given in the back of the book. It seems like you may have made a mistake in your calculation for the capacitance, which led to the incorrect answer. I hope this helps!
 

Related to Calculate Charge on Catfish Parallel Plate Capacitor

1. How do you calculate the charge on a catfish parallel plate capacitor?

To calculate the charge on a catfish parallel plate capacitor, you will need to use the formula Q = CV, where Q is the charge, C is the capacitance, and V is the voltage. The capacitance for a parallel plate capacitor can be calculated using the formula C = εA/d, where ε is the permittivity of the medium between the plates, A is the area of the plates, and d is the distance between the plates.

2. What is the capacitance of a catfish parallel plate capacitor?

The capacitance of a catfish parallel plate capacitor depends on the permittivity of the medium between the plates, the area of the plates, and the distance between the plates. It can be calculated using the formula C = εA/d.

3. How does the charge on a catfish parallel plate capacitor affect its capacitance?

The charge on a catfish parallel plate capacitor does not affect its capacitance. The capacitance is solely determined by the permittivity of the medium between the plates, the area of the plates, and the distance between the plates.

4. What factors affect the capacitance of a catfish parallel plate capacitor?

The capacitance of a catfish parallel plate capacitor is affected by the permittivity of the medium between the plates, the area of the plates, and the distance between the plates. Additionally, the type of material used for the plates and the voltage applied also affect the capacitance.

5. How can the charge on a catfish parallel plate capacitor be increased?

The charge on a catfish parallel plate capacitor can be increased by increasing the voltage applied to it or by decreasing the distance between the plates. This will result in a higher electric field between the plates, leading to a higher charge on the capacitor.

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