In a circuit with a 24V battery and two 12Ω resistors in parallel, what is the t

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Question: In a circuit with a 24V battery and two 12Ω resistors in parallel, what is the total current supplied by the battery?

Options:

Correct Answer: 4A

Solution:

Total resistance R = 1/(1/12 + 1/12) = 6Ω; Total current I = V/R = 24V / 6Ω = 4A.

In a circuit with a 24V battery and two 12Ω resistors in parallel, what is the total current supplied by the battery?

In a circuit with a 24V battery and two 12Ω resistors in parallel, what is the total current supplied by the battery?

Step 1: Identify the voltage of the battery, which is 24V.
Step 2: Identify the resistance of each resistor, which is 12Ω.
Step 3: Since the resistors are in parallel, use the formula for total resistance: R = 1 / (1/R1 + 1/R2).
Step 4: Substitute the values: R = 1 / (1/12 + 1/12).
Step 5: Calculate the sum inside the parentheses: 1/12 + 1/12 = 2/12 = 1/6.
Step 6: Now, take the reciprocal: R = 1 / (1/6) = 6Ω.
Step 7: Use Ohm's Law to find the total current: I = V / R.
Step 8: Substitute the values: I = 24V / 6Ω.
Step 9: Calculate the total current: I = 4A.

Ohm's Law – The relationship between voltage (V), current (I), and resistance (R) in an electrical circuit, expressed as V = I * R.
Parallel Resistor Calculation – The method to calculate total resistance in a parallel circuit, where the total resistance R is found using the formula 1/R = 1/R1 + 1/R2.