Electromagnetic Force on Current-Carrying Wire Calculator

The following are the steps to get the electromagnetic force on a straight current carrying wire. Follow these simple steps to check the result in a short span of time.

• Check the amount of current flowing through the wire, the strength of the magnetic field, wire length and angle between current and magnetic field.
• Multiply the current, magnetic field and length of the wire.
• Get the sine function of the angle value.
• Again multiply the product by the obtained value to check the magnetic force.

When the electric current is flowing a wire and the magnetic field is around it then the moving electrons will experience the force. The force is called electromagnetic force.

The equation to calculate the strength of the magnetic force acting on the straight current-carrying wire is given here.

F = I x B x L x sin(╬▒)

I = F/(B x L x sin(╬▒))

B = F/(I x L x sin(╬▒))

Where,

F is the magnetic force of the wire

I is the current flowing through the wire

L is the length of the wire

B is the strength of the magnetic field

╬▒ is the angle between the direction of current and direction of the magnetic field

Example

Question: A wire of length 180 cm carrying an electric current of 0.5 A in the negative direction and perpendicular to the magnetic field experience a force of 6.0 x 10^-3 N in the positive y direction due to a magnetic field. Find the magnitude.

Solution:

Given that

Length of the wire L = 1.8 m

Current I = 0.5 A

Magnetic force F = 6.0 x 10^-3 N

Angle ╬▒ = 90┬░

The formula to find magnitude B = F/(L x I x sin(╬▒))

B = (6.0 x 10^-3)/(1.8 x 0.5 x sin(90┬░))

= (6.0 x 10^-3)/(0.9)

= 6.66 x 10^-3

Therefore, the strength of the magnetic is 6.66 x 10^-3 T.

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1. What is the magnetic force on a current-carrying wire?

When the current is passing through a wire, then a magnetic field is around that wire. The electric field in the wire is proportional to the magnitude of the charge.

2. How to find the magnetic force on the straight current-carrying wire?

The simple formula to find the magnetic force on a straight current-carrying wire is F = IBL x sin╬▒. Here, I is the current flowing through the wire, B is the magnetic field strength, L is the wire length and ╬▒ is the angle between the direction of the current and magnetic field. Substitute the values in the equation and compute to get the result easily.

3. What are the characteristics of the magnetic field due to the current carrying conductor?

The following are the characteristics of the magnetic field produced due to a current-carrying conductor.

• It lies in a plane perpendicular to the conductor
• The reverse direction of current flow reverses the magnetic field direction.
• The strength of the field is directly proportional to the magnitude of the current.

4. What is the force on a current-carrying wire that is parallel to a magnetic field?

The force acting on a current-carrying wire that is parallel to the magnetic field will be zero. Because the magnitude of the force depends on the angle between the current and magnetic field direction.