JEE Class main Answered
a long wire with current I is bifurcated as shown in the figure dividing curent equally.The magnetic feild at point (0,a) is :
Asked by adityasrivastava703 | 05 Jan, 2020, 22:16: PM
Expert Answer
Let us assume the wire along the +y-axis direction in which cureent (i/2) is passing is semi infinite with
respect to test point P(0,a), i.e, length of wire is upto +∞
Similarly , we assume, the wire along the -y-axis direction in which cureent (i/2) is passing is semi infinite with
respect to test point P(0,a), i.e, length of wire is upto -∞
we determine the magnetic induction due to current (i/2) passing along +y-axis direction and -ve y-axis direction separately
Figure given below shows the procedure of getting magnetic induction due to current (i/2) in +y-axis direction
Let us consider small current element (i/2)dy at Q(-a,y) .
Magnetic induction dB at P(0,a) due to this small current element is given by ,
dB = [ (μo i ) / 8π ] { dy / [ (y-a)2 + a2 ] } ......................(1)
Magnetic induction B due to full length of wire
..............................(2)Similarly we calculate magnetic induction B due to current (i/2) passing in -y-direction as shown below
dB = [ (μo i ) / 8π ] { dy / [ (y+a)2 + a2 ] } ......................(2)
................(3)from eqn.(2) and (3), we see that both magnetic induction vectors are equal in magnitude but in opposite in direction.
Hence net magnetic induction at point P(0,a) is zero
Answered by Thiyagarajan K | 06 Jan, 2020, 08:46: AM
Application Videos
-
efficiency of transformer
In this video, the relation between number of turns of primary and secondar... -
Impedance of AC circuit
This video explains the impedance of an AC circuit due to resistances and r... -
LCR circuit problems - 1
This video explains the approach of solving the resistance and inductance o... -
LCR circuit problems - 2
This video describes the calculation of effective current and phase differe... -
LCR circuit problems - 3
This video focuses on the calculation of circuit impedance and potential di...
Concept Videos
-
Magnetic Flux - Part 1
This video deals with establishing a relation between electricity & magneti... -
Establish relation between electricity and magnetism ...
Establish relation between electricity & magnetism. Faraday's experiments &... -
Magnetic Flux - Exam Decoded
This video contains pratice questions on magnetic flux. -
Law of Faraday and Lenz - Part 1
This video explains Faraday's law, Lenz's law and their applications. -
Law of Faraday and Lenz - Part 2
This video contains practice questions and numerical problems on Faraday's ...
JEE main - Physics
Asked by sumalathamadarapu9 | 23 Oct, 2024, 22:06: PM
ANSWERED BY EXPERTJEE main - Physics
Asked by py309649 | 13 Oct, 2024, 13:39: PM
ANSWERED BY EXPERTJEE main - Physics
Asked by coolskrish | 13 Oct, 2024, 12:50: PM
ANSWERED BY EXPERTJEE main - Physics
Asked by midnightmoon3355 | 09 Oct, 2024, 09:09: AM
ANSWERED BY EXPERTJEE main - Physics
Asked by rambabunaidu4455 | 03 Oct, 2024, 16:03: PM
ANSWERED BY EXPERTJEE main - Physics
Asked by ratchanavalli07 | 17 Sep, 2024, 07:46: AM
ANSWERED BY EXPERTJEE main - Physics
Asked by yayashvadutta45 | 15 Sep, 2024, 19:47: PM
ANSWERED BY EXPERTJEE main - Physics
Asked by adithireddy999 | 03 Sep, 2024, 09:35: AM
ANSWERED BY EXPERTJEE main - Physics
Asked by vaishalinirmal739 | 29 Aug, 2024, 18:07: PM
ANSWERED BY EXPERTJEE main - Physics
Asked by vradhysyam | 26 Aug, 2024, 17:17: PM
ANSWERED BY EXPERT