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Question: Two wires PQ and QR, carry equal currents I as shown in Fig. One end of both the wires extends to in...

Two wires PQ and QR, carry equal currents I as shown in Fig. One end of both the wires extends to infinity. ŠPQR = q. The magnitude of the magnetic field at O on the bisector angle of these two wires at a distance r from point Q is–

A

μ04π\frac { \mu _ { 0 } } { 4 \pi }

B

μ04π\frac { \mu _ { 0 } } { 4 \pi }

C

μ04π\frac { \mu _ { 0 } } { 4 \pi }

D

Answer

Explanation

Solution

BPQ = μ0I4π(ssinθ/2)\frac { \mu _ { 0 } \mathrm { I } } { 4 \pi ( \mathrm { s } \sin \theta / 2 ) } (cos0ŗ + cos q/2)BPQ\overrightarrow { \mathrm { B } } _ { \mathrm { PQ } }= μ0I4πr\frac { \mu _ { 0 } \mathrm { I } } { 4 \pi \mathrm { r } } .

(1+cosθ/2)sinθ/2\frac { ( 1 + \cos \theta / 2 ) } { \sin \theta / 2 } \odot =

\ Bnet = \odot