| Direction: Q.6 to Q.10 |
| The flow of charge in a particular direction constitutes the electric current. Current is measured in Ampere. 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 is flowing across that area per unit time. |
| Current density at a point in a conductor is the ratio of the current at that point in the conductor to the area of cross-section of the conductor of that point. |
| The given figure shows a steady current flows in a metallic conductor of non-uniform cross-section. Current density depends inversely on area, so, here \[{{J}_{1}}>{{J}_{2}}\], as \[{{A}_{1}}<{{A}_{2}}\]. |
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| Read the above passage carefully and give the answer of the following questions. |
A) \[2.5\times {{10}^{-10}}A\]
B) \[1.6\times {{10}^{-10}}A\]
C) \[7.5\times {{10}^{-9}}A\]
D) \[8.2\times {{10}^{-11}}A\]
Correct Answer: B
Solution :
(b) \[1.6\times {{10}^{-10}}A\] \[q={{10}^{6}}\times 1.6\times {{10}^{-19}}C\] \[=1.6\times {{10}^{-13}}C\] \[t={{10}^{-3}}s\] \[l=\frac{{{q}_{1}}}{t}=\frac{1.6\times {{10}^{-13}}}{{{10}^{-3}}}=1.6\times {{10}^{-10}}A\]
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