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Answer :
To find the total current of a 12 V battery in a circuit with resistors of 2 ohms, 4 ohms, and 6 ohms: calculate the total resistance (12 ohms) and apply Ohm's law, yielding 1 ampere of current.
To find the total current in the circuit, we need to determine the total resistance and then use Ohm's Law.
First, calculate the total resistance. Since the resistors are in series, the total resistance, Rtotal, is the sum of all individual resistances:
Rtotal = R1 + R2 + R3
= 2 Ω + 4 Ω + 6 Ω
= 12 Ω
Next, use Ohm's Law: V = IR, where V is the voltage, I is the current, and R is the resistance. Here, V = 12 V
and Rtotal = 12 Ω.
Rearranging the formula to solve for current,
I = V / R:
I = 12 V / 12 Ω
= 1 A
The total current in the circuit is 1 ampere.
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