An electron moves in a circular orbit with a uniform speed v. It produces a magnetic field B at the centre of the circle. The radius of the circle is proportional, to

$\frac{B}{v}$

$\frac{v}{B}$

$\sqrt{\frac{v}{B}}$

$\sqrt{\frac{B}{v}}$

Solution

$\sqrt{\frac{v}{B}}$

The time period of electron moving in angular orbit

$T = \frac{circumference of circular path}{speed} T = \frac{2 πr}{ν} and equivalent current due to electron flow I = \frac{e}{T} = \frac{e}{(\frac{2 πr}{ν})} I = \frac{eν}{2 πr}$

Magnetic field at centre of circle

$B = \frac{μ_{o} I}{2 r} = \frac{μ_{o} e ν}{4 π r^{2}} \Rightarrow r \propto \sqrt{\frac{ν}{B}}$

Some More Questions From Moving Charges And Magnetism Chapter

Two moving coil meters, M₁ and M₂ have the following particulars:
R₁ = 10 Ω N₁ = 30,
A₁ = 3.6 x 10^–3 m², B₁ = 0.25 T
R₂ = 14 Ω; N₂ = 42,
A₂ = 1.8 x 10^–3 m², B₂ = 0.50 T
(The spring constants k are identical for the two meters).
Determine the ratio of (a) current sensitivity and (b) voltage sensitivity of M₂ and M_1.

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Moving Charges And Magnetism

An electron moves in a circular orbit with a uniform speed v. It produces a magnetic field B at the centre of the circle. The radius of the circle is proportional, to

$\frac{B}{v}$

$\frac{v}{B}$

$\sqrt{\frac{v}{B}}$

$\sqrt{\frac{B}{v}}$

Some More Questions From Moving Charges And Magnetism Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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Moving Charges And Magnetism

An electron moves in a circular orbit with a uniform speed v. It produces a magnetic field B at the centre of the circle. The radius of the circle is proportional, to Bv vB vB Bv

Some More Questions From Moving Charges And Magnetism Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

An electron moves in a circular orbit with a uniform speed v. It produces a magnetic field B at the centre of the circle. The radius of the circle is proportional, to

$\frac{B}{v}$

$\frac{v}{B}$

$\sqrt{\frac{v}{B}}$

$\sqrt{\frac{B}{v}}$