What is the magnetic field at a point due to a long straight current-carrying conductor using Biot-Savart Law?
Practice Questions
1 question
Q1
What is the magnetic field at a point due to a long straight current-carrying conductor using Biot-Savart Law?
μ₀I/(2πr)
μ₀I/(4πr²)
μ₀I/(2r)
μ₀I/(4r)
The magnetic field B at a distance r from a long straight conductor carrying current I is given by B = μ₀I/(2πr) according to Biot-Savart Law.
Questions & Step-by-step Solutions
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Q
Q: What is the magnetic field at a point due to a long straight current-carrying conductor using Biot-Savart Law?
Solution: The magnetic field B at a distance r from a long straight conductor carrying current I is given by B = μ₀I/(2πr) according to Biot-Savart Law.
Steps: 7
Step 1: Understand that a long straight conductor carries an electric current (I).
Step 2: Know that the magnetic field (B) is created around the conductor due to this current.
Step 3: Recall the Biot-Savart Law, which helps us calculate the magnetic field due to a current-carrying conductor.
Step 4: Identify the distance (r) from the conductor where you want to find the magnetic field.
Step 5: Use the formula from the Biot-Savart Law: B = μ₀I/(2πr).
Step 6: In the formula, μ₀ is the permeability of free space, I is the current, and r is the distance from the conductor.
Step 7: Plug in the values of I and r into the formula to calculate the magnetic field B.
