A 9.0 V battery is connected to a 6.0 Ω resistor and a 3.0 Ω resistor in parallel. What is the total current supplied by the battery?
Show the answer and explanation
Correct answer
D. 4.5 A
Principle or equation
For parallel resistors, the equivalent resistance is 1/R_eq = 1/R1 + 1/R2, and Ohm's law gives I = V/R_eq.
Why this answer is correct
1/R_eq = 1/6 + 1/3 = 1/6 + 2/6 = 3/6 = 1/2, so R_eq = 2.0 Ω. I = 9.0 V / 2.0 Ω = 4.5 A.
Example
If R1 = 4 Ω and R2 = 12 Ω in parallel, R_eq = 3 Ω, and with 12 V, I = 4 A.
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