Physics, asked by kavya0503, 8 months ago

variation of i^² with time t is plotted in the graph for a resistor of resistance 10 ohm. total heat produced in the resistor is​

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Answers

Answered by paridhivarval
0

Answer:

Given, Q=at−bt

2

Current, i=

dt

dQ

=a−2bt

when i=0,a−2bt=0⇒t=t

0

=

2b

a

Thus, current flows from time t=0 to t=t

0

.

The heat produced is:

H=∫

0

t

0

i

2

Rdt

=R∫

0

t

0

[a

2

−4abt+4b

2

t

2

]dt

=R[a

2

t

0

−2abt

0

2

+

3

4b

2

t

0

3

]

=R[a

2

(a/2b)−2ab(a/2b)

2

+

3

4b

2

(a/2b)

3

]

=R[

2b

a

3

2b

a

3

+

6b

a

3

]

=

6b

a

3

R

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