Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Two infinitely long linear conductors are arranged perpendicular to each other and are in mutually perpendicular planes as shown in figure. If I1 = 2A along the y-axis and I2

Two infinitely long linear conductors are arranged perpendicular to each other and are in mutually perpendicular planes as shown in figure. If I1 = 2A along the y-axis and I2 = 3A along negative z-axis and AP = AB = 1 cm. The value of magnetic field strength \overrightarrow{B}  at P is 

Option: 1

(3\times 10^{-5}T)\widehat{j}+\left ( -4\times 10^{-5} T\right )\widehat{k}


Option: 2

(3\times 10^{-5}T)\widehat{j}+\left (4\times 10^{-5} T\right )\widehat{k}


Option: 3

(4\times 10^{-5}T)\widehat{j}+\left ( 3\times 10^{-5} T\right )\widehat{k}


Option: 4

(-3\times 10^{-5}T)\widehat{j}+\left ( 4\times 10^{-5} T\right )\widehat{k}


Answers (1)

best_answer

 

Magnetic Field Due to a Straight Wire -

B=\frac{\mu_{o}i}{4\pi r}(\sin\phi_{1}+\sin\phi_{2})

- wherein

 

 

For Infinite Length -

\phi_{1}=\phi_{2}=90^{\circ}

B=\frac{\mu_{o}}{4\pi}\:\frac{2i}{r}\:

- wherein

 

 

Magnetic field strength at P due to I1

\overrightarrow{B}_{1} = \frac{\mu _{0}I_{1}}{2\pi (AP)}\widehat{k} = \frac{4\pi \times 10^{-7}\times 2}{2\pi \times 1\times 10^{-2}}\widehat{k} = (4\times 10^{-5}T)\widehat{k}

Magnetic field strength at P due to I2

\overrightarrow{B}_{2} = \frac{\mu _{0}I_{2}}{2\pi (BP)}\widehat{j} = \frac{4\pi \times 10^{-7}\times 3}{2\pi \times 2\times 10^{-2}}\widehat{j} = (3\times 10^{-5}T)\widehat{j}

Hence , \overrightarrow{B}= (3\times 10^{-5}T)\widehat{j}+ (4\times 10^{-5}T)\widehat{k}

Posted by

shivangi.shekhar

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

Andhra launches free JEE, NEET coaching to over 1 lakh govt school students
anam-khan

JoSAA Counselling 2025 LIVE: BTech registration starts at josaa.nic.in for IIT, NIT, IIIT admissions
anam-khan

Kota: 17-year old student from UP preparing for JEE dies of electrocution in hostel

Latest Question