A current flows through a conductor arranged in one plane as shown in figure. The equation of ellipse guiding the diversion of current in the conductor is . Magnetic field due to given current distribution at O is given by . Then value of m + n is:
The element of current of conductor ACB and ADB symmetrical to each other induces same magnetic field, but directed oppositely. Hence, the field at the arbitrary point on AB induced by the entire conductor is zero, since the straight sections of the conductor do not induce a field on AB.
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A small coil C with N= 200 turns is mounted on one end of a balance beam and introduced between the poles of an electromagnet as shown in figure. The area of the coil is S = 1cm2, the length of the right arm of the balance beam is I = 30 cm. When there is no current in the coil the balance is in equilibrium. On passing a current I = 22 mA through the coil, equilibrium is restored by putting an additional weight of mass m = 60 mg on the balance pan. Find the magnetic induction field (in terms of x 10-1 T) between the poles of the electromagnet, assuming it to be uniform.
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