A wire has a diameter of 0-2 mm and a length of 50 cm- The specific resistance of it-s material is 40- 10-6 ohm cm- The current through it- when a potential difference of 2 V is applied across it- is

The correct option is C 0.314 A Given: l = 50 cm, ρ = 40 × 10^ 6 nbsp;Ω cm, r = 0.1 mm = 0.01 cm nbsp;The resistance R is give ...

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Standard XII

Physics

Two Parallel Currents

A wire has a ...

Question

A wire has a diameter of $0.2 m m$ and a length of $50 c m$ . The specific resistance of it's material is $40 \times 10^{- 6}$ $o h m c m$ . The current through it, when a potential difference of $2 V$ is applied across it, is

3.14 A

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31.4 A

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0.314 A

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0.0314 A

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Solution

The correct option is C $0.314 A$
Given: $l = 50$ cm, $ρ = 40 \times 10^{- 6} Ω$ cm, $r = 0.1$ mm $= 0.01$ cm
The resistance R is given by,
$R = \frac{ρ l}{A} = \frac{40 \times 10^{- 6} \times 50}{π \times (0.01)^{2}} \approx 6.37 Ω$
Now the current through it when a potential difference of 2V is applied across it is:
$i = \frac{V}{R} = \frac{2}{6.37} = 0.314$ A.

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A wire has a diameter of 0.2mm and a length of 50cm. The specific resistance of it's material is 40×10−6ohmcm. The current through it, when a potential difference of 2V is applied across it, is

The correct option is C 0.314AGiven: l=50 cm, ρ=40×10−6Ωcm, r=0.1 mm =0.01 cm The resistance R is given by,R=ρlA=40×10−6×50π×(0.01)2≈6.37ΩNow the current through it when a potential difference of 2V is applied across it is:i=VR=26.37=0.314 A.

A wire has a diameter of $0.2 m m$ and a length of $50 c m$ . The specific resistance of it's material is $40 \times 10^{- 6}$ $o h m c m$ . The current through it, when a potential difference of $2 V$ is applied across it, is