Created By : Vaibhavi Kumari

Reviewed By : Rajashekhar Valipishetty

Last Updated : May 10, 2023

The Magnetic Field of Straight Current-Carrying Wire Calculator is an easy-to-use tool that describes the magnetic field produced by a long, straight current-carrying wire. To examine the strength of the magnetic field formed around the wire in a short period, simply enter the current and distance from the wire in the fields and press the calculate button.

Choose a Calculation
Distance(d):
Current in second wire(Ib):
Current in first wire(Ia):

### Magnetic Force Between Two Wires

The force produced by charge motion is known as a magnetic force. Simply put, the magnetic force between two moving charges is the influence of a magnetic field formed by the other one of the charges.

The magnetic force between current-carrying wires is usually calculated using the cross product. The equation for the magnetic force between wires is F/L = μo x Ia x Ib /(2πd)

• Where, Ia, Ib = current flowing in the first and second wires
• d = distance between the wires
• F/L = force per unit length
• μo = permeability of free space that has a constant value. μo = 4π x 10^-7 Tm/A

If two wires come into contact with each other, attraction and repulsion will occur. When two wires transmit current in the same direction, they attract rather than repel each other.

• Where, μo = permeability of free space.
• μo = 4π x 10^-7 Tm/A
• B = magnetic field strength produced at a distance
• d = distance from the wire
• I = current

### How do you Calculate Magnetic Force of Current Carrying Wires?

Examine the easy procedures for calculating the magnetic force between two parallel, straight wires carrying electricity. To get the output quickly, follow the guidelines and requirements.

• Step 1: Get the current flowing via two wires and the distance between them.
• Step 2: Find the product of the distance and the double π of it.
• Step 3: Multiply the current flowing between two wires by the free space permeability constant.
• Step 4: To calculate the magnetic force, divide the product from step 1 by the product from step 2.

For more concepts check out physicscalculatorpro.com to get quick answers by using this free tool.

### How to Use the Magnetic Force Between Current-Carrying Wires Calculator?

The following is the procedure how to use the Magnetic Force Between Current-Carrying Wires calculator

• Step 1: Input the unknown value's current in the first wire, second wire and distance between two wires and x in the appropriate input fields.
• Step 2: To acquire the result, click the "Calculate the Unknown" button.
• Step 3: Finally, the output field will show the magnetic force quickly and easily.

### Magnetic Force on a Current Carrying Wire Examples

Question 1: If the first wire has 17 A of current flowing through it, the second wire has 20 A of current flowing through it. Find the magnetic force between two wires if the distance between them is 15 m.

Solution:

Given: Current in the first wire Ia = 17 A

Current in the second wire Ib = 20 A

Distance between two wires d = 15 m

F/L = μ0 x Ia x Ib /(2πd)

= 4π x 10^-7 x 17 x 20/(2π x 15)

= 4.53x 10^-6 N

Hence, the magnetic force between two wires is 4.53x 10^-6 N

### FAQs on Force on Current Carrying Wires in Magnetic Field

1. What is the formula for the magnetic force between wires?

F/L = μ0 x Ia x Ib / (2πd) is the magnetic force between two parallel, long, and straight current-carrying wires. F/L stands for force per unit length, d for the distance between wires, and Ia and Ib for current flowing in the first and second wires, respectively.

2. How can I use the Magnetic Force Between Current-Carrying Wires Calculator to calculate magnetic force?

In the calculator's input boxes, enter the current flow in the first and second wires, as well as the distance between the wires. To quickly compute the magnetic force value, simply press the calculate button.

3. The magnetic force is calculated using which equation?

To calculate the force on a current-carrying wire, Sal uses the formula F=ILB.

4. What is the formula for calculating magnetic fields?

In a magnetic field, the amount of the force on a wire carrying current I with length L is determined by the equation F=ILBsinθ. The force is parallel to the current and the field.

5. What is the relationship between the force on the wire and the magnetic field?

The magnetic force acting on a current-carrying wire is perpendicular to both the wire and the magnetic field, with the right-hand rule directing the direction.