Created By : awnish

Reviewed By : Rajashekhar Valipishetty

Last Updated : Apr 10, 2023

Magnetic Field of Straight Current-Carrying Wire Calculator is a user-friendly tool that helps to explains the magnetic field generated by a long and straight current-carrying wire. Simply provide current and distance from the wire in the fields and hit the calculate button to check the strength of the magnetic field produced around the wire in a short span of time.

Choose a Calculation
Current:
Distance:

### How to Find Magnetic Field?

See the detailed explanation of calculating the magnetic field around a wire. Obtain the simple steps, guidelines and follow them to get the strength of the magnetic field easily.

• Find the distance from the wire and current flowing through the wire.
• Multiply the double of π with the distance.
• Multiply the current with the permeability of the free space constant.
• Divide the above product by product from step 2 to get the magnetic field.

### Magnetic Field of a Wire

The magnetic field is defined as an invisible space around the magnet. The magnetic field measurement can be done with its strength and direction.

Maxwell's equation says that flowing electric current always produces the magnetic field. The electric current passes through a straight wire means the magnetic field lines from the concentric circles and the magnetic field strength depends on the distance from the wire and current flowing through it.

We generally use the right-hand thumb rule or cross-product to find the magnetic field around the wire.

The formula to calculate the Magnetic Field of Straight Current-Carrying Wire is

B = μo * I/(2πd)

Where,

μo is the permeability of free space that has a constant value. μo = 4π x 10-7 Tm/A

B is the strength of the magnetic field produced at a distance

d is the distance from the wire

I is the current

Example

Question: If 10 A of current flowing through a straight long wire and the distance from the wire is 3 m. Find the strength of the magnetic field around the wire?

Solution:

Given that

Current I = 10 A

Distance from the wire d = 3 m

The magnetic field around the wire is B = μo * I/(2πd)

B = [4π x 10-7 x 10]/(2π x 3)

= 0.666 x 10-6

Therefore, the magnetic field around the wire is 0.666 x 10-6 T.

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### FAQs on Magnetic Field of Straight Current-Carrying Wire

1. What is the magnetic field of a wire?

The magnetic field is an invisible space around the magnet or magnetic object. Magnetic fields are generated when the electric current/charge moves within the vicinity of the magnet. The magnetic field of a wire can be calculated using the right-hand thumb rule.

2. What is the Right-Hand Thumb Rule?

As per the right-hand thumb rule, we have to keep the thumb in the direction of current flow, the remaining four closed fingers represent the magnetic field.

3. How is the magnetic field of a current-carrying straight conductor?

The magnetic field created by a current carrying straight wire depends inversely on the distance from it and directly on the current passing through it.

4. How to calculate the magnetic field around a wire?

The formula to find the magnetic field around the wire is B = μo * I/(2πd). Here, I is the current, d is the distance from the wire, μo is the permeability of free space, and B is the strength of the magnetic field.