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A wire 1.80 m long carries a current of13.0 A and makes an angle of 35.0°with a uniform magnetic field of magnitudeB=1.50 T. Calculate the magnetic force on the wire.

Short Answer

Expert verified

The magnetic force on the wire is 20.1N.

Step by step solution

01

Listing the given quantities

  • Current in the conductor,i=13.0A
  • Magnetic field,B=1.50T
  • Length of the conductor,L=1.80m
  • The angle between current and field, θ=35°
02

Understanding the concept of magnetic force

By using the formulas of magnetic force in terms of current and magnetic field and substituting the given quantities, we can find the magnitude of the magnetic force.

Formula:

Magnetic force, FB=iLBsinθ

03

Calculation of magnetic force on the wire

The magnetic force is given by:

FB=iLBsinθ

Where

i=Current,L=Lengthoftheconductor,B=Magneticfield,θ=Anglebetweencurrentandfield

Therefore,

role="math" localid="1662458941501" FB=13.01.801.50sin35°=20.1N

The magnetic force on the wire is 20.1N.

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