Capacitors connected in parallel to store a charge of 1.49 C?

AI Thread Summary
To determine how many 1.48 µF capacitors are needed in parallel to store a charge of 1.49 C at 105 V, the calculation must yield an exact whole number. Rounding is not acceptable since capacitors cannot be purchased in fractions. The discussion suggests that the answer should be rounded up to 9589 capacitors. Participants confirm the importance of using whole numbers in practical applications. This highlights the necessity of precise calculations in capacitor arrangements.
McAfee
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Homework Statement


rIbhP.png

How many 1.48 µF capacitors must be connected in parallel to store a charge of 1.49 C with a potential of 105 V across the capacitors?


Homework Equations


Refer to the attempt at a solution.

The Attempt at a Solution


10AcM.jpg

Also, for the answer exact number, no tolerance. I tried just rounding the number but that didn't work. I not sure. Does it mean I should round the answer up to 9589?
 
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Hi McAfee! :smile:

(i haven't checked your figures)
McAfee said:
How many 1.48 µF capacitors must be connected in parallel to store a charge of 1.49 C with a potential of 105 V across the capacitors?
…
Also, for the answer exact number, no tolerance. I tried just rounding the number but that didn't work. I not sure. Does it mean I should round the answer up to 9589?

yes, of course …

you can't buy 0.16 of a capacitor, can you? :biggrin:​
 
tiny-tim said:
Hi McAfee! :smile:

(i haven't checked your figures)


yes, of course …

you can't buy 0.16 of a capacitor, can you? :biggrin:​


You are right. Thanks for the help.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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