1.

A time varing current i is passed through a resistance R as shown in figure. The total heat generated in the resistance is

Answer»

`11 i_(0)^(2) Rt_(0)`
`13 i_(0)^(2) Rt_(0)`
`17 i_(0)^(2) Rt_(0)`
`15 i_(0)^(2) Rt_(0)`

SOLUTION :(b) TOTAL heat produced =
`int_(0)^(t_(0)) ((3 i_(0))/(t_(0)) t )^(2) Rdt + (3 i_(0))^(2) R (2 t_(0) - t_(0)) + i_(0)^(2) R (3 t_(0) - 2 t_(0))`
`= 3 i_(0)^(2) Rt_(0) + 9 i_(0)^(2) Rt_(0) + i_(0)^(2) Rt_(0) = 13 i_(0)^(2) Rt_(0)`


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