In a parallel circuit with a 12V source and two resistors (4Ω and 6Ω), what is t

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Question: In a parallel circuit with a 12V source and two resistors (4Ω and 6Ω), what is the total current supplied by the source?

Options:

Correct Answer: 3A

Solution:

Total current I = V / Rtotal; Rtotal = 1 / (1/4 + 1/6) = 2.4Ω; I = 12V / 2.4Ω = 5A.

In a parallel circuit with a 12V source and two resistors (4Ω and 6Ω), what is the total current supplied by the source?

In a parallel circuit with a 12V source and two resistors (4Ω and 6Ω), what is the total current supplied by the source?

Step 1: Identify the voltage of the source, which is 12V.
Step 2: Identify the resistors in the circuit, which are 4Ω and 6Ω.
Step 3: Calculate the total resistance (Rtotal) for the parallel circuit using the formula: Rtotal = 1 / (1/R1 + 1/R2).
Step 4: Substitute the values of the resistors into the formula: Rtotal = 1 / (1/4 + 1/6).
Step 5: Find a common denominator for the fractions (4 and 6), which is 12.
Step 6: Rewrite the fractions: 1/4 = 3/12 and 1/6 = 2/12.
Step 7: Add the fractions: 1/4 + 1/6 = 3/12 + 2/12 = 5/12.
Step 8: Now, calculate Rtotal: Rtotal = 1 / (5/12) = 12/5 = 2.4Ω.
Step 9: Use Ohm's Law to find the total current (I) supplied by the source: I = V / Rtotal.
Step 10: Substitute the values: I = 12V / 2.4Ω.
Step 11: Calculate the total current: I = 5A.

Ohm's Law – The relationship between voltage (V), current (I), and resistance (R) in an electrical circuit, expressed as V = I * R.
Parallel Circuit Resistance – In a parallel circuit, the total resistance (Rtotal) is found using the formula 1/Rtotal = 1/R1 + 1/R2 + ... for all resistors.
Current Calculation – The total current supplied by the source can be calculated using the total resistance and the voltage of the source.