Which of the following is also known as the dual of Thevenin’s theorem?
a) Norton’s theorem
b) Superposition theorem
c) Maximum power transfer theorem
d) Millman’s theorem

Explanation

Frictional force = ` mu N`
` Let the cork move to a distance = dl`
` :. Workdone by frictional force = muN dl `
Before that the work will not start, that
means volume remain constant.
` rArr ((P_1)/(T_1))= ((P_2)/(T_2))`
` rArr (1/300) = ( P_2 / 600)`
` rArr (P_2) = 2 atm `
` :. Extra pressure = 2 atm - 1 atm `
` =1 atm `
` Workdone by 1 atm (Adl)`
` mu N dl = [1 atm][Adl]`
` N= (1 xx (10^5) xx pi ((5 xx (10^-2))^2)/0.2)`
` = (1 xx (10^5) xx pi xx 25 xx (10^-4)/0.2)`
Total circumference of work
` = 2 pi r (dN/dl)= (N/2 pi r)`
` = (1 xx (10^5) xx pi xx 25 xx (10^-4)/0.2 xx 2 pi r )`
` (1 xx (10^5) xx 25 xx (10^-4)/ 0.2 xx 2 xx 5 xx (10^-2))`
` = 1.25 xx (10^4) N/m`.