JEE Main2013PhysicsCurrent ElectricityActual

Which of the four resistances P, Q, R and S generate the greatest amount of heat when a current flows from A to B ?

Options

Correct answer

B. S

Step-by-step solution

aligned & R ₁= P + Q =2 +4 =6 & R ₂= R + S =1 +2 =3 & I ₁ R ₁= I ₂ R ₂ & I ₁= R ₂ R ₁ I ₂= 3 6 I ₂= I ₂ 2 aligned or I ₂=2 I ₁ Heat flow H = I ^2 Rt For Q , H _ Q = I ₁^2 Qt = I ₂^2 4 4 t = I ₂^2 t For S , H _ S = I ₂^2 St = I ₂^2 2 t =2 I ₂^2 t Greatest amount of heat generated by S .

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