CBSE Class 10 Answered
Why resistance will increase to 3 times when length is increased 3 times and will not increase to 9 times?
Asked by ms0851000 | 11 Mar, 2019, 05:38: PM
Expert Answer
R = ρ l/ A ... (1)
If l increases by 3 times then the changed resistance Rc is given as,
Rc = ρ(3 l)/ A
Thus, this can be written as,
Rc = 3(ρl/ A) ... (2)
From (1) and (2),
Rc = 3 R
Hence, resistance increases by 3 times with an increase in its length by 3 times.
Also, from the formula, it is clear that resistance is directly proportional to the length of the wire.
Answered by Shiwani Sawant | 11 Mar, 2019, 06:09: PM
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