why cant I multiply the charge density by the total sphere volume?. Whats the difference between summing up over the whole region and just multiplying by the volume?
That’s exactly what we’re doing in the integral. The density is different at every single point, so we chop up space into infinitely many tiny blocks, the amount of charge in each block is the density times the volume of each block, and then we add them up. Mathematically, an integral helps us evaluate what the total charge is when we add up the charge contributed by each infinitely small block.
why cant I multiply the charge density by the total sphere volume?. Whats the difference between summing up over the whole region and just multiplying by the volume?
That’s exactly what we’re doing in the integral. The density is different at every single point, so we chop up space into infinitely many tiny blocks, the amount of charge in each block is the density times the volume of each block, and then we add them up. Mathematically, an integral helps us evaluate what the total charge is when we add up the charge contributed by each infinitely small block.
Awesome, Thanks
thanks, bro!
Great explanation. Thank you
Adam Chavez you’re welcome, glad it helped :)
Great work, thank you