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A possitive charge of 5 C and a negative charge of 2.5 coloumb is flowing through a wire in 5 x 10-3 seconds . Current flowing
1. 0.5 × 10-3 A
2. 5A
3. 0.5 A
4. 5 × 10A

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Correct Answer - Option 4 : 5 × 10A

CONCEPT:

Electric current:

  • The flow of electric charges through a conductor constitutes an electric current.
  • Quantitatively, electric current in a conductor across an area held perpendicular to the direction of flow of charge is defined as the amount of charge flowing across that area per unit time i.e.,

\({\rm{Electric\;curernt\;}}\left( {\rm{I}} \right) = \frac{{{\rm{Electric\;charge}}\;\left( {\rm{Q}} \right)}}{{{\rm{Time\;}}\left( {\rm{t}} \right)}}\)

  • SI unit of current is ampere and it is denoted by the letter A.

CALCULATION:

Given: positive charge q+ = 5 C, negative charge q- = 2.5 C, and time taken = 5 ×10-3 sec

\(\Rightarrow Current =\mathrm{\frac{net\: charge}{time\: taken}}=\mathrm{\frac{q_{+}-q_{-}}{time\: taken}}\) 

\(\Rightarrow Current =\boldsymbol{\mathrm{}\frac{5-2.5}{5× 10^{-3}}}=5 \times 10^2A\)

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