First slide

Magnetic field due to a straight current carrying wire

Question

Statement 1: Magnetic field due to an infinite straight conductor varies inversely as the distance from it.
Statement 2: The magnetic field at the centre of the circular coil is zero.

Easy

A

Both statements 1 and 2 are correct
B

Statement 1 is correct statement 2 is incorrect
C

Statement 1 is incorrect statement 2 is correct
D

Both statements 1 and 2 are incorrect

Solution

The magnetic field at a point due to current flowing through an infinitely long conductor is given by
$B = \frac{μ_{0}}{4 π} \frac{2 l}{a}$
where, A is the distance of that point from conductor. Now according to right hand thumb rule, it follows that magnetic field is in the form of concentric circles, whose centres lie on the straight conductor . The magnetic field at the centre of the circular coil is $\frac{μ_{0} i}{2 r}$

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