In figure, AB is a $$non-conducting$$ rod. Equal charges of magnitude q are fixed at various points on the rod as shown. The rod is rotated uniformly about an axis passing through O and perpendicular to its length such that linear speed at the end A or B of the rod is $$3$$ $$ms-1$$. Magnetic field at O is

Question

Infinity Learn · Accepted Answer

Since the rod is a rigid body, every point has same angular velocity u $$=$$ $$1$$ $$rad/s$$. For points at a distance of $$1m$$, $$v1$$ $$=$$ I $$m/s$$ For points at a distance of $$2$$ m, $$v2=$$ $$2$$ $$m/s$$ If a charge rotating in a circle constitutes a current I.$$B=$$μ$$oi2r$$, where $$i=qt=qv2$$$$π$$r Since field due to rotation bf all charges are in same direction,, $$B=$$∑μ$$oqv4$$$$π$$$$r2=$$μ$$oq4$$$$π$$$$1+1+12+12+13+13$$

In figure, AB is a non-conducting rod. Equal charges of magnitude q are fixed at various points on the rod as shown. The rod is rotated uniformly about an axis passing through O and perpendicular to its length such that linear speed at the end A or B of the rod is 3 ms^-1. Magnetic field at O is

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In figure, AB is a non-conducting rod. Equal charges of magnitude q are fixed at various points on the rod as shown. The rod is rotated uniformly about an axis passing through O and perpendicular to its length such that linear speed at the end A or B of the rod is 3 ms-1. Magnetic field at O is

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In figure, AB is a non-conducting rod. Equal charges of magnitude q are fixed at various points on the rod as shown. The rod is rotated uniformly about an axis passing through O and perpendicular to its length such that linear speed at the end A or B of the rod is 3 ms^-1. Magnetic field at O is