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Standard X

Physics

Ohm's Law

A wire has a ...

Question

A wire has a resistivity of 0.0001Ωm, a length of 2 m and a square cross-section of side 1 mm. If a potential difference of 50 V is maintained across the ends of the wire, what is the current flowing through it?

1 volt

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1 A

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0.5 A

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0.25 A

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Solution

The correct option is D 0.25 A
Given,
$ρ = 0.0001 Ω m; l = 2 m; A = (10^{- 3})^{2} = 10^{- 6} m^{2}$
$R = ρ \frac{l}{A} = 10^{- 4} \times \frac{2}{10^{- 6}} = 200 Ω$
$C u r r e n t, I = \frac{V}{R} = \frac{50 V}{200 Ω} = 0.25 A$

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A wire has a resistivity of 0.0001Ωm, a length of 2 m and a square cross-section of side 1 mm. If a potential difference of 50 V is maintained across the ends of the wire, what is the current flowing through it?

The correct option is D 0.25 AGiven, ρ=0.0001 Ωm;l=2 m;A=(10−3)2=10−6 m2 R=ρlA=10−4×210−6=200 Ω Current, I=VR=50 V200 Ω=0.25 A

The correct option is D 0.25 A
Given,
$ρ = 0.0001 Ω m; l = 2 m; A = (10^{- 3})^{2} = 10^{- 6} m^{2}$
$R = ρ \frac{l}{A} = 10^{- 4} \times \frac{2}{10^{- 6}} = 200 Ω$
$C u r r e n t, I = \frac{V}{R} = \frac{50 V}{200 Ω} = 0.25 A$