4.6 A 3.0 cm wire carrying a current of 10 A is placed inside a solenoid perpendicular to its axis. The magnetic field inside the solenoid is given to be 0.27 T. What is the magnetic force on the wire?

<p><strong>4.6 </strong>Length of the wire, l = 3 cm = 0.03 m</p><p>Current flowing in the wire, I = 10 A</p><p>Magnetic field, B = 0.27 T</p><p>Angle between current and the magnetic field, <span contenteditable="false"> <math> <mi>θ</mi> </math> </span>= 90<span contenteditable="false"> <math> <mo>°</mo> </math> </span></p><p>Magnetic force exerted on the wire is given as</p><p>F= BI<span contenteditable="false"> <math> <mrow> <mrow> <mi>l</mi> <mi mathvariant="normal">sin</mi> </mrow> <mo>? </mo> <mrow> <mi>θ</mi> </mrow> </mrow> </math> </span> = 0.27<span contenteditable="false"> <math> <mo>×</mo> <mn>10</mn> <mo>×</mo> <mn>0.03</mn> <mrow> <mrow> <mi mathvariant="normal">sin</mi> </mrow> <mo>? </mo> <mrow> <mn>90</mn> <mo>°</mo> </mrow> </mrow> </math> </span> = 8.1 <span contenteditable="false"> <math> <mo>×</mo> <msup> <mrow> <mrow> <mn>10</mn> </mrow> </mrow> <mrow> <mrow> <mo>-</mo> <mn>2</mn> </mrow> </mrow> </msup> </math> </span>N</p>

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