A 6.8 Ω resistor and a 15 Ω resistor are connected in parallel across a 17.7 V supply. Calculate the current in 6.8 Ω resistor.

Question

A 6.8 Ω  resistor and a 15 Ω resistor are connected in parallel across a 17.7 V supply. Calculate the current in 6.8 Ω resistor.

BlackTom AI · Accepted Answer

The problem provides two resistors in parallel across a 17.7 V supply and asks for the current through the 6.8 Ω resistor.

Key principle: In parallel circuits, the voltage across each component is the same as the supply, and the current through each resistor is I = V / R for that resistor.

Step 1: Identify the voltage across the resistors. Since they are in parallel, V = 17.7 V across both the 6.8 Ω and the 15 Ω resistor.

Step 2: Calculate the current through the 6.8 Ω resistor using I = V / R = 17.7 V / 6.8 Ω.

Step 3: Perform the division: 17.7 ÷ 6.8 ≈ 2.603... A.

Step 4: Apply appropriate rounding for a typical answer: I ≈ 2.60 A, which can be reported as 2.6 A.

In summary, the current through the 6.8 Ω resistor is approximately 2.6 amperes, consistent with Ohm's law for a resistor in parallel with a fixed supply voltage.

A 6.8 Ω resistor and a 15 Ω resistor are connected in parallel across a 17.7 V supply. Calculate the current in 6.8 Ω resistor.简答题

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