If the current flowing through a resistor is 3A and the voltage across it is 9V,

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Question: If the current flowing through a resistor is 3A and the voltage across it is 9V, what is the resistance? (2022)

Options:

Correct Answer: 3Ω

Exam Year: 2022

Solution:

Using Ohm\'s Law, R = V / I = 9V / 3A = 3Ω.

If the current flowing through a resistor is 3A and the voltage across it is 9V, what is the resistance? (2022)

If the current flowing through a resistor is 3A and the voltage across it is 9V, what is the resistance? (2022)

Step 1: Identify the values given in the problem. We have a current (I) of 3A and a voltage (V) of 9V.
Step 2: Recall Ohm's Law, which states that Resistance (R) is equal to Voltage (V) divided by Current (I). The formula is R = V / I.
Step 3: Substitute the values into the formula. Replace V with 9V and I with 3A: R = 9V / 3A.
Step 4: Perform the division. Calculate 9 divided by 3, which equals 3.
Step 5: Write down the result. The resistance (R) is 3Ω.

Ohm's Law – Ohm's Law states that the current (I) through a conductor between two points is directly proportional to the voltage (V) across the two points and inversely proportional to the resistance (R). It is expressed as R = V / I.