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A charge 0.5 C passes through a cross se...

A charge `0.5 C` passes through a cross section of a conductor in `5 s`. Find the current.

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To find the current when a charge of 0.5 C passes through a cross-section of a conductor in 5 seconds, we can use the formula for electric current. ### Step-by-Step Solution: 1. **Understand the Formula for Current**: The electric current (I) is defined as the rate of flow of charge. The formula is given by: \[ I = \frac{\Delta Q}{\Delta T} \] where: - \(I\) is the current in amperes (A), - \(\Delta Q\) is the charge in coulombs (C), - \(\Delta T\) is the time in seconds (s). 2. **Identify the Given Values**: From the problem, we have: - \(\Delta Q = 0.5 \, \text{C}\) (the charge), - \(\Delta T = 5 \, \text{s}\) (the time). 3. **Substitute the Values into the Formula**: Now we can substitute the values of \(\Delta Q\) and \(\Delta T\) into the formula: \[ I = \frac{0.5 \, \text{C}}{5 \, \text{s}} \] 4. **Calculate the Current**: Performing the division: \[ I = \frac{0.5}{5} = 0.1 \, \text{A} \] 5. **State the Final Answer**: Therefore, the current is: \[ I = 0.1 \, \text{A} \]
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