A $10\,\,m$ long wire of $20\,\,{\rm{\Omega }}$ resistance is connected with a battery of $3\,\,volt$ e.m.f. (negligible internal resistance) and a $10\,\,{\rm{\Omega }}$ resistance is joined to it is series. Potential gradient along wire in volt per meter is

JEE PHYSICS MCQ: CURRENT ELECTRICITY

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Application +4 | -1

10\,\,m

long wire of

20\,\,\mathrm{\Omega }

resistance is connected with a battery of

3\,\,volt

e.m.f. (negligible internal resistance) and a

10\,\,\mathrm{\Omega }

resistance is joined to it is series. Potential gradient along wire in volt per meter is

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Correct option: C

0.2

Option C (0.2) is correct because the potential gradient is calculated by dividing the potential difference across the wire by its length.

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\mathrm{\rho }

3\,\,{\mathrm{m}^3}

3\,\,\mathrm{\Omega }

4.7\,\, \times \,\,{10^6}\,\,\mathrm{\Omega }\,\, \pm \,\,5\,\,\%

22.5\,cm