Question

find magnetic field at point p which is 5m away from infinite wire making angle 37​

Answer 1

Answer:

B = [ μⁿ × i / 12.5 π ] OR B = [ μⁿ × i / 39 ]

Explanation:

★ LONG INFINITE CURRENT CARRYING WIRE ★

«★» MAGNETIC FIELD ( B )

» Distance of point from wire = d

» Permeability Constant = μⁿ

» Current in long INFINITE wire = i

» Angles made by point Near to wire at both the " ENDS OF WIRE " = Sin∅

[ " ONLY VALID FOR INFINITE AND SEMI - INFINITE CURRENT CARRYING WIRE " ]

" B = ( μⁿ × i / 4π × d ) × [ Sin∅¹ + Sin∅² ]"

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------------ FOR GIVEN CONDITIONS ---------

★ Current = i

★ d = 5 m ( Point P )

★ Sin∅¹ = 37° ( Below )

★ Sin∅² = 90° ( Top ;"As wire is Infinite" )

♣» MAGNETIC FIELD AT " POINT P "«♣

→B = ( μⁿ × i / 4π × 5 ) [ Sin∅¹ + Sin∅² ]

» B = ( μⁿ × i / 20π ) [ Sin 37° + Sin 90° ]

» B = ( μⁿ × i / 20π ) [ 3 / 5 + 1 ]

» B = ( μⁿ i / 20π ) [ 8 / 5 ]

» B = [ μⁿ × i × 8 / 100π ]

→» B = [ μⁿ × i / 12.5 π ] «←

OR

★» B = [ μⁿ × i / 39 ] «★

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ANSWER :- At point P at 5m from

At point P at 5m from " Infinite Current Carrying Wire " MAGNETIC FIELD IS ;

B = [ μⁿ × i / 39 ]

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