What is the total voltage across a parallel circuit with two branches, one with 10Ω and 20Ω resistors, if the total current is 3A?

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Q: What is the total voltage across a parallel circuit with two branches, one with 10Ω and 20Ω resistors, if the total current is 3A?

Solution: Using the formula V = I * R_eq. First, find R_eq = 1 / (1/10 + 1/20) = 6.67Ω. Then, V = 3A * 6.67Ω = 20V.

Steps: 8

Step 1: Identify the resistors in the parallel circuit. We have a 10Ω resistor and a 20Ω resistor.
Step 2: Use the formula for equivalent resistance (R_eq) in a parallel circuit: R_eq = 1 / (1/R1 + 1/R2).
Step 3: Substitute the values of the resistors into the formula: R_eq = 1 / (1/10 + 1/20).
Step 4: Calculate the values inside the parentheses: 1/10 = 0.1 and 1/20 = 0.05. So, 0.1 + 0.05 = 0.15.
Step 5: Now calculate R_eq: R_eq = 1 / 0.15 = 6.67Ω.
Step 6: Use the total current (I) to find the total voltage (V) using the formula V = I * R_eq.
Step 7: Substitute the total current and equivalent resistance into the formula: V = 3A * 6.67Ω.
Step 8: Calculate the total voltage: V = 20V.