What is the magnetic flex through the loop when theta is 0degree? Express your a
ID: 1538427 • Letter: W
Question
What is the magnetic flex through the loop when theta is 0degree? Express your answer two significant figure and include the appropriate units. What is the magnetic flex through the loop when theta is 30degree? Express your answer two significant figure and include the appropriate units. What is the magnetic flex through the loop when theta is 60degree? Express your answer two significant figure and include the appropriate units. What is the magnetic flex through the loop when theta is 90degree? Express your answer two significant figure and include the appropriate units.Explanation / Answer
When = 0° , the plane of the circular loop is at right angles to the magnetic flux, and maximum flux will link with the loop.
That maximum flux linkage ( ) will be given by the product of the Magnetic Flux Density ( B ) and the cross sectional area ( a ) of the loop, where B = 7.3×102 T ; and
Area a = r² ........................................... [ where : r = d/2 = 0.07 m ]
= B a
=> = B*r ²
= > = 7.3×102*( 0.07²* )
=> = 1.12*10-3 Wb ............................... [ maximum flux linkage at = 0° ]
When = 90° the plane of the loop is parallel to the magnetic flux and there is zero flux linkage, [ i.e. = 0 Wb ]
When the loop is rotated, the vertical component of the loops radius reduces proportional to the cosine of , while the component of the loop's radius in the z-axis direction (into the diagram i.e. at right angles to the plane of the diagram) remains unchanged so the effective area of the loop (that is able to link with the flux) becomes
a = r ( r cos )
a = r ² cos
= B r ² cos
= 0.5 B r ² when = 60° ................ [ cos 60° = 0.5 ]
= 0.5 × 1.12*10-3 Wb = 5.61*10-4 Wb at = 60°
= 0.866 × 1.12*10-3 Wb = 9.69*10-4 Wb at = 30°
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