मराठी

A metal wire of resistance 6 Ω is stretched so that its length is increased to twice its original length. Calculate its new resistance.

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प्रश्न

A metal wire of resistance 6 Ω is stretched so that its length is increased to twice its original length. Calculate its new resistance.

संख्यात्मक
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उत्तर

R1 = 6Ω, R2 = ?

l1 = l, l2 = 2l

a1 = a, a2 = `a/2`

p1 = p2

`(R_1a_1)/(l_1) = (R_2a_2)/(l_2)`

`6xxa/l = (R_2xxa/2)/(2l)`

`6 = (R_2xx1/2)/2`

`6 = R_2 xx1/2xx1/2`

6 × 2 × 2 = R2

R2 = 24Ω

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