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In a circuit with a 24V battery and two 12Ω resistors in parallel, what is the t
In a circuit with a 24V battery and two 12Ω resistors in parallel, what is the total current supplied by the battery?
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Practice Questions
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Q1
In a circuit with a 24V battery and two 12Ω resistors in parallel, what is the total current supplied by the battery?
1A
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4A
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Total resistance R = 1/(1/12 + 1/12) = 6Ω; Total current I = V/R = 24V / 6Ω = 4A.
Questions & Step-by-step Solutions
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Q
Q: In a circuit with a 24V battery and two 12Ω resistors in parallel, what is the total current supplied by the battery?
Solution:
Total resistance R = 1/(1/12 + 1/12) = 6Ω; Total current I = V/R = 24V / 6Ω = 4A.
Steps: 9
Show Steps
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.
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