the resistance of a metal is given by r=v/i,where v is the potential difference and i is the current in a circuit the potential difference across the resistance is V=(10±0.5)V and current in resistance, I=(2±0.2)A
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R = V/I
V =( 10 ±0.5) v
I = (2 ± 0.2)A
R = 10/2 = 5 ohm
V= IR
differentiate
dV = idR + Rdi
divide by ( IR) both sides
dv/IR = idR/IR + Rdi/iR
dV/V = dR/R + di/i
so, average error
±∆V/V = ±∆R/R ± ∆I/I
for maximum error in R
∆R/R = ∆V/V + ∆I/I
∆R/5 = 0.5/10 + 0.2/2
∆R = 0.25 + 0.5 = 0.75
so, Ract = ( R ±∆R ) = (5 ±0.75) ohm
V =( 10 ±0.5) v
I = (2 ± 0.2)A
R = 10/2 = 5 ohm
V= IR
differentiate
dV = idR + Rdi
divide by ( IR) both sides
dv/IR = idR/IR + Rdi/iR
dV/V = dR/R + di/i
so, average error
±∆V/V = ±∆R/R ± ∆I/I
for maximum error in R
∆R/R = ∆V/V + ∆I/I
∆R/5 = 0.5/10 + 0.2/2
∆R = 0.25 + 0.5 = 0.75
so, Ract = ( R ±∆R ) = (5 ±0.75) ohm
vishagh:
Tysm..!!!! :) ryt answer
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