equations, relationships and rearranging

Question 1

what is the relationship between resistors in a series circuit

Answer 1

all resisters are added

Question 2

what is the relationship between resistors in a parallel circuit

Answer 2

adding more reduces the total resistance it is inversely proportional

Question 3

consider a cylinder immersed in liquid show the upthrust is the difference between the force due to water pressure at the bottom f2 and at the top f1 (5-6 marks) state the equations best to write it down

Answer 3

-a submerged object will experience pressure = force/ area
- volume of a cylinder = πr^2H or L
-pressure of a fluid = densitygravityheight
-substitute force and area f1/πr^2 f2/πr^2
-now we have the pressure equation on both sides f1/πr^2=ρgh and f2
-now we need to get area on the other side so f1 = (ρgh)πr^2 this is also for f2
-we have both equations lets combine them
ρgh1πr^2-ρgh2πr^2=f1-f2
-cancel out ρg*πr^2(h1-h2)=f1-f2
-this now shows us the upthrust is equal to the weight of displaced fluid, this is known as archenemies principal