Calculate Charge on Catfish Parallel Plate Capacitor

[hotstuff]

(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

 

[geosonel]

(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.

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

$$Charge \ = \ Capacitance \, \times \, Voltage \ = \ (1.51 \, \times \, 10^{-11}) \, \times \, (350) \ = \ 5.29 \, \times \, 10^{-9} \, Coulombs$$

 

[thepatientmental]

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!