A long vertical wire carrying a current of 10A in the upward direction is placed in a region where a horizontal magnetic field of magnitude(`2.0 xx 10^-3)` T exists from south to north. Find the point where the resultant magnetic field is zero.

Explanation

To solve the problem of finding the point where the resultant magnetic field is zero, we can follow these steps:

### Step 1: Understand the Setup
We have a long vertical wire carrying a current of 10 A in the upward direction. There is also a horizontal magnetic field of magnitude \( B_H = 2.0 \times 10^{-3} \, \text{T} \) directed from south to north.

### Step 2: Determine the Direction of the Magnetic Fields
Using the right-hand rule, we can determine the direction of the magnetic field created by the current in the wire. If the current is flowing upward, the magnetic field around the wire will circulate in a counter-clockwise direction when viewed from above.

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