A resistor with a resistance of 10 ohms is connected to a power supply that provides a voltage of 20 volts. Calculate the current flowing through the resistor.

Question

BlackTom AI · Accepted Answer

Ohm's law (V = I·R) gives the direct relationship between voltage (V), current (I), and resistance (R). Rearranging yields I = V / R, which is the key formula needed here.

1) Relevant knowledge points and concepts
- Ohm’s law: V = I·R.
- Units: voltage in volts (V), resistance in ohms (Ω), current in amperes (A).
- To find current, divide the voltage by the resistance: I = V / R.

2) Step-by-step reasoning
- Given: V = 20 V and R = 10 Ω.
- Apply Ohm’s law rearranged for current: I = V / R.

3) Calculations with intermediate steps
- I = 20 volts / 10 ohms
- Compute the division: 20 ÷ 10 = 2
- Include units: 2 (volts per ohm) = 2 amperes
- Therefore I = 2.00 A

4) Why the correct answer is correct
- The formula directly yields 2 A when the given numeric values are substituted. Units are consistent (V/Ω = A), so the numeric result 2 corresponds to 2.00 A, matching the precision of the options.

5) Why the other options are incorrect
- 0.50 A would result from mistakenly computing R / V (10 ÷ 20 = 0.5) instead of V / R; this inverts the relationship.
- 3.00 A is not obtainable from V = 20 V and R = 10 Ω; it would imply V = 30 V for the same resistance (I = 30/10 = 3), which contradicts the given data.
- 1.00 A would correspond to V = 10 V with R = 10 Ω (I = 10/10 = 1), again inconsistent with the given 20 V.

6) Conclusion
- Using I = V / R with V = 20 V and R = 10 Ω yields I = 2.00 A. This confirms the provided correct answer: 2.00 A.

A resistor with a resistance of 10 ohms is connected to a power supply that provides a voltage of 20 volts. Calculate the current flowing through the resistor.单项选择题

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