Planet X has a magnetic field with strength 0.70 G in the southern direction. When a probe is placed 50 mm east of a vertical wire it measures a field of 0.50 G in the southern direction. What would a probe read if placed 20 mm east of the vertical wire?

0.20 G

Explanation:

The given parameters are;

The magnetic field strength of planet X = 0.70 G

The location of a probe in relation to the vertical wire = 50 m

The measurement of a probe placed 50 mm east of a vertical wire = 0.50 G

The location of the probe = 20 mm east of the vertical wire

Based on the given parameter,  the wire is a current carrying conductor with a magnetic field acting tangent to the magnetic field lines.

Given that the measured Earth magnetic field reduces, we have that the magnetic field of the wire cancels the magnetic field of the Earth

As the probe moves closer to the wire the measured magnetic field in the southern direction reduces

When the probe is placed 20 mm from the wire, the magnetic field reduces to 20/50 × 0.50 G = 0.20G

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