A He nucleus makes a full rotation in a circle of radius 0.8 meter in 2 sec. The value of the ma

step 1 As we know that b is equal to mu not i by 2 r for circular coil. Now we also know that i is equa

A He nucleus makes a full rotation in a circle of radius 0.8...

A He nucleus makes a full rotation in a circle of radius $0.8$ meter in $2 \mathrm{sec}$. The value of the mag. field $\mathrm{B}$ at the centre of the circle will be $\quad$ Tesla. (a) $\left(10^{-19} / \mu_{0}\right)$ (b) $10^{-19} \mu_{0}$ (c) $2 \times 10^{-10} \mathrm{H}_{0}$ (d) $\left[\left(2 \times 10^{-10}\right) / \mu_{0}\right]$

A He nucleus makes a full rotation in a circle of radius $0.8$ meter in $2 \mathrm{sec}$. The value of the mag. field $\mathrm{B}$ at the centre of the circle will be $\quad$ Tesla.
(a) $\left(10^{-19} / \mu_{0}\right)$
(b) $10^{-19} \mu_{0}$
(c) $2 \times 10^{-10} \mathrm{H}_{0}$
(d) $\left[\left(2 \times 10^{-10}\right) / \mu_{0}\right]$

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Key Concepts

Current from a Moving Charge

When a charged particle moves along a closed path, it effectively constitutes an electric current. The current is calculated by dividing the charge by the period of rotation. This concept connects the discrete movement of a charge to the macroscopic notion of current, which is fundamental in analyzing electromagnetic phenomena.

Magnetic Field Due to a Current Loop

A current loop produces a magnetic field similar to that of a magnetic dipole. The magnetic field at the center of a circular current loop is given by the formula B = (??I)/(2R), where I is the current and R is the radius of the loop. This relationship is key to understanding how moving charges generate magnetic fields in classical electromagnetism.

Circular Motion of Charged Particles

The study of charged particles in circular motion is essential in linking kinematics with electromagnetic effects. As a charged particle rotates, its periodic motion gives rise to a steady current, and this motion can be characterized by parameters such as period and radius. This concept is crucial for analyzing systems like particles in cyclotrons or electrons in magnetic fields.

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