My Learning Cart
?
Categories
Account

If a long straight wire carries a current I, what is the magnetic field B at a d

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: If a long straight wire carries a current I, what is the magnetic field B at a distance r from the wire according to the Biot-Savart Law?

Options:

  1. B = (μ₀I)/(2πr)
  2. B = (μ₀I)/(4πr²)
  3. B = (μ₀I)/(r)
  4. B = (μ₀I)/(2r)

Correct Answer: B = (μ₀I)/(2πr)

Solution: 

The magnetic field B at a distance r from a long straight wire carrying current I is given by B = (μ₀I)/(2πr).

If a long straight wire carries a current I, what is the magnetic field B at a d

Practice Questions

Q1
If a long straight wire carries a current I, what is the magnetic field B at a distance r from the wire according to the Biot-Savart Law?
  1. B = (μ₀I)/(2πr)
  2. B = (μ₀I)/(4πr²)
  3. B = (μ₀I)/(r)
  4. B = (μ₀I)/(2r)

Questions & Step-by-Step Solutions

If a long straight wire carries a current I, what is the magnetic field B at a distance r from the wire according to the Biot-Savart Law?
Correct Answer: B = (μ₀I)/(2πr)
  • Step 1: Understand that a long straight wire carrying current creates a magnetic field around it.
  • Step 2: Identify the variables: I is the current in the wire, r is the distance from the wire, and μ₀ is a constant called the permeability of free space.
  • Step 3: Recall the formula for the magnetic field B around a long straight wire: B = (μ₀I)/(2πr).
  • Step 4: Recognize that this formula shows how the magnetic field B depends on the current I and the distance r from the wire.
  • Step 5: Use the formula to calculate the magnetic field B if you know the values of I and r.
  • Biot-Savart Law – The Biot-Savart Law describes how electric currents produce magnetic fields, specifically how the magnetic field varies with distance from a current-carrying wire.
  • Magnetic Field Calculation – Understanding how to calculate the magnetic field around a long straight wire using the formula B = (μ₀I)/(2πr).
  • Distance Dependence – Recognizing that the magnetic field strength decreases with increasing distance from the wire.
Soulshift Feedback ×

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

Not likely Very likely
Home Practice Performance eBooks