An arrow of mass 100 g carries charge +1 C at its tip. If it hits a person, the charge would flow to ground in about 0.001 s through body resistance 100 Ω. The arrow is fired horizontally at 50 m/s toward a target 10 m east. A vertical magnetic field may be applied to deflect it.

Physics · Magnetic effect of current

JEE Advanced

An arrow of mass 100 g carries charge +1 C at its tip. If it hits a person, the charge would flow to ground in about 0.001 s through body resistance 100 Ω. The arrow is fired horizontally at 50 m/s toward a target 10 m east. A vertical magnetic field may be applied to deflect it.

Sub-question 1

Assuming constant current during discharge, what total heat is dissipated in the body?

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Sub-question 2

What magnetic field makes the arrow turn through 90° while its eastward displacement is 10 m? Neglect gravity.

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