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Two heating coils A and B made of the same material are connected in parallel across yhe mains.The length and diameter of A are twice those of B.In which will more heat be produced and by how much?

Two heating coils A and B made of the same material are connected in parallel across yhe mains.The length and diameter of A are twice those of B.In which will more heat be produced and by how much?

Grade:12

1 Answers

sanatan sharma
26 Points
9 years ago

RB =(ρl)/(∏(x/2)2)                                              let x be the diameter of the coil B

RB = (4ρl)/(∏x2)

RA = (ρ2l)/(∏x2)

on comparing the resistance of these two we will get 

2RA = RB

applying the formula P= V2/R

since the value of RA is smaller than RB then the heat energy will be more in the A coil.

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