Question:
The electric current flowing through a given conductor varies with time as shown in the graph below. The number of free electrons which flow through a given cross-section of the conductor in the time interval \( 0 \leq t \leq 20 \, \text{s} \) is
The electric current flowing through a given conductor varies with time as shown in the graph below. The number of free electrons which flow through a given cross-section of the conductor in the time interval \( 0 \leq t \leq 20 \, \text{s} \) is
Updated On: Sep 22, 2025
- \( 3.125 \times 10^{19} \)
- \( 1.6 \times 10^{19} \)
- \( 6.25 \times 10^{18} \)
- \( 1.625 \times 10^{19} \)
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The Correct Option is C
Solution and Explanation
The charge $Q$ is given as:
\[ Q = ne = \text{area under } I-t \text{ graph} \]
Substituting the values: \[ n = \frac{5000 \times 10^{-3}}{1.6 \times 10^{-19}} = 3.125 \times 10^{19} \]
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