Question

The charge will flow through a galvanometer of resistance 200Ω connected to a 400Ω circular coil of 1000 turns wound on a wooden stick 20 mm in diameter, if a magnetic field B = 0.012 T parallel to the axis of the stick decreased suddenly to zero, is near ______.

Options

• 6.3 µC

• 630 µC

• 0.63 µC

• 63 µC

Answer 1

The charge will flow through a galvanometer of resistance 200Ω connected to a 400Ω circular coil of 1000 turns wound on a wooden stick 20 mm in diameter, if a magnetic field B = 0.012 T parallel to the axis of the stick decreased suddenly to zero, is near 6.3 µC.

Explanation:

Given, R = 200Ω, R_L = 400Ω,

N = 1000, d = 20 mm = 20 × 10^-3 m

B₂ = 0.012 T and B₁ = 0

∴ q = `(DeltaPhi)/R = (Npi(d^2/4)(B_2 - B_1))/R_{eq}`

= `(1000 xx pi xx 10^-4 xx (0.012 - 0))/((200 + 400)`

= `6.3 xx 10^-6` C = 6.3 µC