What is the total current flowing through a circuit with a 10V battery and two 5Ω resistors in parallel?

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Q: What is the total current flowing through a circuit with a 10V battery and two 5Ω resistors in parallel?

Solution: Equivalent resistance R_eq = 1/(1/5 + 1/5) = 2.5Ω. Total current I = V/R_eq = 10V/2.5Ω = 4A.

Steps: 9

Step 1: Identify the voltage of the battery, which is 10V.
Step 2: Identify the resistance of each resistor, which is 5Ω.
Step 3: Since the resistors are in parallel, use the formula for equivalent resistance: R_eq = 1 / (1/R1 + 1/R2).
Step 4: Substitute the values into the formula: R_eq = 1 / (1/5 + 1/5).
Step 5: Calculate the sum inside the parentheses: 1/5 + 1/5 = 2/5.
Step 6: Take the reciprocal of 2/5 to find R_eq: R_eq = 1 / (2/5) = 5/2 = 2.5Ω.
Step 7: Now, use Ohm's law to find the total current: I = V / R_eq.
Step 8: Substitute the values: I = 10V / 2.5Ω.
Step 9: Calculate the total current: I = 4A.