Magnetics 2 Question 15

15. An infinitely long conductor PQR is bent to form a right angle as shown in figure. A current I flows through PQR. The magnetic field due to this current at the point M is H1. Now, another infinitely long straight conductor QS is connected at Q, so that current is I/2 in QR as well as in QS, the current in PQ remaining unchanged. The magnetic field at M is now H2. The ratio H1/H2 is given by

(2000,2M)

(a) 1/2

(b) 1

(c) 2/3

(d) 2

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Answer:

Correct Answer: 15. (a, d)

Solution:

  1. H1= Magnetic field at M due to PQ+ Magnetic field at M due to QR. But magnetic field at M due to QR=0

Magnetic field at M due to PQ (or due to current I in PQ )

Now H2= Magnetic field at M due to PQ (current I )

  • magnetic field at M due to QS (current I/2 )
  • magnetic field at M due to QR

=H1+H12+0=32H1

H1H2=23

NOTE Magnetic field at any point lying on the current carrying straight conductor is zero.



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