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\begin{tabular}{|l} Question 8 \\ A 5 mC charge is in a \( 25 \mathrm{~N} / \mathrm{C} \) electric field. What is the force on the charge? \\ \hline\end{tabular}

Ask by Dawson Griffin. in the United States
Jan 21,2025

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Answer

The force on the charge is 0.125 newtons.

Solution

To determine the force exerted on a charge placed in an electric field, you can use **Coulomb's Law**, which is given by the equation: \[ F = q \times E \] Where: - \( F \) is the force in newtons (N), - \( q \) is the charge in coulombs (C), - \( E \) is the electric field in newtons per coulomb (N/C). **Given:** - Charge, \( q = 5 \, \text{mC} = 5 \times 10^{-3} \, \text{C} \) (since \( 1 \, \text{mC} = 10^{-3} \, \text{C} \)), - Electric field, \( E = 25 \, \text{N/C} \). **Calculation:** \[ F = q \times E = 5 \times 10^{-3} \, \text{C} \times 25 \, \text{N/C} = 0.125 \, \text{N} \] **Answer:** The force on the charge is **0.125 newtons**.

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Beyond the Answer

To find the force acting on a charge in an electric field, you can use the formula: \( F = qE \), where \( F \) is the force, \( q \) is the charge, and \( E \) is the electric field strength. In this case, with a charge of 5 mC (which is \( 5 \times 10^{-3} \) C) and an electric field of \( 25 \, \mathrm{N/C} \), you would calculate: \( F = (5 \times 10^{-3} \, \mathrm{C}) \times (25 \, \mathrm{N/C}) = 0.125 \, \mathrm{N} \). So, the force on the charge is 0.125 N! Now, imagine this in action! If you place that tiny 5 mC charge in that electric field, it feels a little nudge, pushing it away as if the field is saying, "Hey, move that way!" It’s like having a friendly shove when you're trying to cross the street—just a little help from the physics of electric fields!

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