Created By : Vaibhavi Kumari

Reviewed By : Rajashekhar Valipishetty

Last Updated : May 07, 2023

Check the magnetic force operating on a straight current-carrying wire with our free Electromagnetic Force on Current-Carrying Wire Calculator. This helpful calculator can save you time and effort when calculating the result. All you have to do is enter the magnetic field, current, and wire length information, then press the calculate button to get the result as quickly as possible.

Choose a Calculation
Magnetic field (B):
Current (I):
Length (L):

### Electromagnetic Force - Definition

When an electric current flows through a wire and a magnetic field surrounds it, the moving electrons feel the force. The other name for this force is the electromagnetic force.

### Electromagnetic Force on Current-Carrying Wire Equation

Following is the formula for calculating the strength of the magnetic force operating on a straight current-carrying wire.

F = I x B x L x sin(α)

I = F/(B x L x sin(α))

B = F/(I x L x sin(α))

• Where,
• F = magnetic force of the wire
• I = current flowing through the wire
• L = length of the wire
• B = strength of the magnetic field
• α = angle formed by the current direction and the magnetic field direction.

### How to Calculate Magnetic Force on a Straight Wire?

The steps for obtaining electromagnetic force on a straight current-carrying wire are as follows. To check the result in a short period, follow these simple procedures.

• Step 1: Examine the amount of current flowing through the wire, the magnetic field's strength, the wire length, and the angle between the current and the magnetic field.
• Step 2: Multiply the current, magnetic field, and wire length.
• Step 3: Calculate the angle value's sine function.
• Step 4: To check the magnetic force, multiply the product by the result.

### How to Use the Electromagnetic Force on a Current-Carrying Wire Calculator?

The process for using the electromagnetic force on a current-carrying wire calculator is as follows

• Step 1: Input the unknown's magnetic field, current, length, and x in the appropriate input fields.
• Step 2: Select the "Calculate unknown" option to calculate the electromagnetic force.
• Step 3: Finally, the magnetic force of the object will be displayed in the output field.

### Example on Electromagnetic Force on Current-Carrying Wire

Question 1: A magnetic field exerts a force of 8.0 x 10^-3 N in the positive y-direction on a wire of length 1.5 m carrying an electric current of 0.7 A is perpendicular to the magnetic field and in the negative direction. Calculate the magnitude.

Solution:

Given:

Length of the wire L = 1.5 m

Current I = 0.7 A

Magnetic force F = 8.0 x 10^-3 N

Angle α = 90°

B = F/(L x I x sin(α))

B = (8.0 x 10-3)/(1.5 x 0.7 x sin(90°))

= 7.61 x 10^-3

Therefore, the strength of the magnetic is 7.61 x 10^-3 T.

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

### FAQs on Electromagnetic Force on Current-Carrying Wire

1. On a current-carrying wire, what is the magnetic force?

F = IL x B is the magnetic force on a current-carrying wire in a magnetic field. When a current flows through a magnetic field, the magnetic field acts on the wire in a direction that is perpendicular to both the current and the magnetic field.

2. Is a magnet affected by a current-carrying wire?

A permanent magnet can be acted upon by a current-carrying wire or coil. If the magnetic field strength and/or current increase, the force increases.

3. What happens if you put a current-carrying wire next to another current-carrying wire?

When a current-carrying conductor is put in a magnetic field, it is subjected to a mechanical force that can cause the conductor to move.

4. What forms around the wire when current travels through it?

When an electric current passes through a wire, it heats (current heating effect) and creates a magnetic field around it ( magnetic effect of current).

5. Is it possible for a current-carrying wire to be neutral?

The rate of flow of charges, or electrons, is known as current. As a result, a current-carrying wire is electrically neutral.