Question 1
A student connects a resistor to a 6 V battery and measures a current of 2 A. What is the resistance of the resistor?No clue? Show me the answer
Correct answer
Correct!
IncorrectStep-by-step walkthrough
Choose a solution method
Method #1Direct ApproachStep 1: Identify known and unknown quantities
We are given voltage and current . We need to find resistance .
Step 2: Select the correct form of Ohm's Law
To find resistance, use:
Step 3: Substitute values and calculate
Step 4: State the answer with units
The resistance of the resistor is 3 Ω. Always include the unit (Ω) with your answer.
Method #2Process of EliminationStep 1: Identify what is being asked
We need to find resistance given and using .
Step 2: Eliminate 12 Ω
12 Ω would result from multiplying , which is not the correct formula for resistance. Eliminate this option.
Step 3: Eliminate 0.33 Ω
0.33 Ω would result from , which is the reciprocal of the correct formula. This gives , not . Eliminate this option.
Step 4: Eliminate 8 Ω
8 Ω does not result from any standard rearrangement of Ohm's Law with these values. Eliminate this option.
Step 5: Select the correct answer
. The correct answer is 3 Ω.
Question 2
Which of the following correctly describes what the symbol represents in Ohm's Law?No clue? Show me the answer
Correct answer
Correct!
IncorrectStep-by-step walkthrough
Choose a solution method
Method #1Direct ApproachStep 1: Recall the meaning of I in Ohm's Law
In Ohm's Law (), the symbol represents electric current. The symbol comes from the French word intensité.
Step 2: Identify the correct unit
Electric current is measured in amperes (A), not coulombs. Coulombs (C) are the unit of electric charge, which is a different quantity.
Step 3: Select the correct answer
The correct description is electric current, measured in amperes (A).
Method #2Process of EliminationStep 1: Identify what is being asked
We need to identify the correct meaning and unit of the symbol in Ohm's Law.
Step 2: Eliminate 'measured in coulombs (C)'
Coulombs (C) are the unit of electric charge, not current. Current is the rate of flow of charge, measured in amperes. Eliminate this option.
Step 3: Eliminate 'electrical intensity, measured in volts (V)'
While does come from the French word intensité, it represents current, not a quantity measured in volts. Volts are the unit of voltage (). Eliminate this option.
Step 4: Eliminate 'electrical impedance, measured in ohms (Ω)'
Impedance (measured in ohms) is a concept from AC circuits, not the same as in Ohm's Law. Eliminate this option.
Step 5: Select the correct answer
represents electric current, measured in amperes (A).
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