High School

Three resistors having values of 4 Ω, 6 Ω, and 10 Ω are connected in parallel. This circuit is connected to a 12 V battery. What is the current in the 10 Ω resistor?

A. 0.550 A
B. 5.20 A
C. 1.20 A
D. 2.00 A

Answer :

Final answer:

Using Ohm's law, the current through a 10 Ω resistor connected in parallel to a 12 V battery is found to be 1.20 A, which is answer C.

Explanation:

To find the current in the 10 Ω resistor which is connected in parallel with other resistors to a 12 V battery, we can use Ohm's law. Ohm's law states that V = IR, where V is the voltage across the resistor, I is the current through the resistor, and R is the resistance of the resistor. For a resistor in parallel, the voltage across it is the same as the voltage of the battery.

So for the 10 Ω resistor:

V = IR
12 V = I ⋅ 10 Ω
I = å∈å 12 V / 10 Ω
I = 1.20 A

Therefore, the correct answer is C. 1.20 A. This is the current that flows through the 10 Ω resistor.