Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5
Banner 6
Banner 7
Banner 8
Banner 9

Q.

A wire carrying current i has the configuration shown in figure. Two semi-infinite straight sections, each tangent to the same circle, are connected by a circular arc, of angle θ, along the circumference of the circle, with all sections lying in the same plane. What must θ (in rad) be in order for B to be zero at the center of circle?

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya

answer is 2.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

Detailed Solution

Magnetic field at O due to wire 1 isB→1=μ0i4πR⊙ and that due to wire 2 is B→2=μ0i4πR⊙⇒B→=B→1+B→2=μ0i2πR⊙ Magnetic field at the centre due to circular arc subtending angle θ at the centre is given byB→arc=μ0i2Rθ2π⊗ If B→net =0⇒B→+B→arc =0 ⇒  B→=-B→arc  ⇒  μ0i2πR⊙=-μ0i2Rθ2π⊗ ⇒  μ0i2πR=μ0i2Rθ2π⇒1π=θ2π⇒θ=2rad
Watch 3-min video & get full concept clarity
score_test_img

courses

No courses found

Get Expert Academic Guidance – Connect with a Counselor Today!

best study material, now at your finger tips!

  • promsvg

    live classes

  • promsvg

    progress tracking

  • promsvg

    24x7 mentored guidance

  • promsvg

    study plan analysis

download the app

gplay
mentor

Download the App

gplay
whats app icon
personalised 1:1 online tutoring