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The voltage across a wire is (100pm5)V a...

The voltage across a wire is `(100pm5)V` and the current passing through it is `(10pm0.2)` A. Find the resistance of the wire.

Text Solution

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Voltage `V = (100 pm 5) V`
Current I = (10 pm 0.2) A`
Resistance R = ?
Then resistance R is given by Ohm.s law R = V/I = 100/10 = 10 Omega `
` (Delta R)/(R ) = ( (DeltaV)/(V) + (Delta I)/(I) )`
`Delta R = ((Delta V)/(V) + (Delta I)/(I) R = (5/100 + (0.2)/(10) ) 10`
` = (0.05 + 0.02)10 = 0.07 xx 10 = 0.7`
The resistance ` R = (10 pm 0.7) rho `
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