Question: If a resistor is connected to a 9V battery and the current flowing through it is 3A, what is the resistance of the resistor?
Options:
1 Ω
3 Ω
9 Ω
27 Ω
Correct Answer: 9 Ω
Solution:
Using Ohm\'s Law, R = V / I = 9 V / 3 A = 3 Ω.
If a resistor is connected to a 9V battery and the current flowing through it is
Practice Questions
Q1
If a resistor is connected to a 9V battery and the current flowing through it is 3A, what is the resistance of the resistor?
1 Ω
3 Ω
9 Ω
27 Ω
Questions & Step-by-Step Solutions
If a resistor is connected to a 9V battery and the current flowing through it is 3A, what is the resistance of the resistor?
Step 1: Identify the values given in the problem. We have a voltage (V) of 9 volts and a current (I) of 3 amperes.
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 9 and I with 3: R = 9 V / 3 A.
Step 4: Perform the division. Calculate 9 divided by 3, which equals 3.
Step 5: State the result. The resistance of the resistor is 3 ohms (Ω).
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) of the conductor, expressed as R = V / I.
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