A potential difference of 1.00 V is maintained across a 10.0-0 resistor for a period of 20.0 s. What total charge passes by a point in one of the wires connected to the resistor in this time interval?
A potential difference of 1.00 V is maintained across a 10.0-0 resistor for a period of 20.0 s. What total charge passes by a point in one of the wires connected to the resistor in this time interval?
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Transcribed Image Text:**Physics Problem: Calculating Total Charge Through a Resistor**
A potential difference of 1.00 V is maintained across a 10.0 Ω resistor for a period of 20.0 s. What total charge passes by a point in one of the wires connected to the resistor in this time interval?
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Here is how you can solve this problem:
1. **Determine the Current (I):**
Use Ohm's Law: \( V = I \times R \).
- Rearrange to find \( I = \frac{V}{R} \).
- Substitute the given values: \( I = \frac{1.00 \, \text{V}}{10.0 \, \Omega} = 0.1 \, \text{A} \).
2. **Calculate Total Charge (Q):**
Use the formula: \( Q = I \times t \).
- Substitute the known values: \( Q = 0.1 \, \text{A} \times 20.0 \, \text{s} = 2.0 \, \text{C} \).
Therefore, the total charge that passes by a point in the wire is 2.0 Coulombs.
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