If the current in a circuit is split into two branches with resistances R1 = 2Ω

₹0.0

📥 Instant PDF Download
♾ Lifetime Access
🛡 Secure & Original Content

What’s inside this PDF?

Question: If the current in a circuit is split into two branches with resistances R1 = 2Ω and R2 = 4Ω, what is the current through R1 if the total current is 6A?

Options:

Correct Answer: 3A

Solution:

Using the current division rule, I1 = I_total * (R2 / (R1 + R2)) = 6A * (4Ω / (2Ω + 4Ω)) = 6A * (4/6) = 4A.

If the current in a circuit is split into two branches with resistances R1 = 2Ω

Practice Questions

If the current in a circuit is split into two branches with resistances R1 = 2Ω and R2 = 4Ω, what is the current through R1 if the total current is 6A?

Questions & Step-by-Step Solutions

If the current in a circuit is split into two branches with resistances R1 = 2Ω and R2 = 4Ω, what is the current through R1 if the total current is 6A?

Step 1: Identify the total current in the circuit, which is given as 6A.
Step 2: Identify the resistances of the two branches: R1 = 2Ω and R2 = 4Ω.
Step 3: Use the current division rule formula: I1 = I_total * (R2 / (R1 + R2)).
Step 4: Substitute the values into the formula: I1 = 6A * (4Ω / (2Ω + 4Ω)).
Step 5: Calculate the total resistance in the denominator: 2Ω + 4Ω = 6Ω.
Step 6: Substitute this value back into the formula: I1 = 6A * (4Ω / 6Ω).
Step 7: Simplify the fraction: 4Ω / 6Ω = 2/3.
Step 8: Multiply the total current by the simplified fraction: I1 = 6A * (2/3) = 4A.

Current Division Rule – The principle that describes how current is distributed among parallel branches in a circuit based on their resistances.
Ohm's Law – The relationship between voltage, current, and resistance, which is fundamental in analyzing electrical circuits.

If the current in a circuit is split into two branches with resistances R1 = 2Ω

What’s inside this PDF?

If the current in a circuit is split into two branches with resistances R1 = 2Ω

Practice Questions

Questions & Step-by-Step Solutions

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?