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Moving Charges And Magnetism

Question

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An electron is projected with a speed of 10⁵ ms^–1 at right angles to a magnetic field of 0.019 G. Calculate the radius of the circle described by the electron.

Solution

Given,
Speed of an electron, v = 10⁵ m/s
Magnetic field, B = 0.019 G = 0.019 $\times 10^{- 4} T$

Therefore,
Radius of the circle described by the electron, $r = \frac{mv}{qB}$ .

= $\frac{9.1 \times 10^{- 31} \times 10^{5}}{1.60 \times 10^{- 19} \times 0.019 \times 10^{- 4}}$

= 29.9 cm

is the calculated radius of the circle.

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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