A simple pendulum with bob of mass m and conducting wire of length L swings(is hanging ) under gravity thro' an angle 2theetha. The earth's magnetic feild component in the direction perpendicular to swing is B. the max potential diff induced across pendulum is?
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Area covered by the pendulum = radius * angle covered
A = L * 2θ
Magnetic field= B (perpendicular to the plane of the swing)
Magnetic flux = φ = B * area = 2 B L θ
The time period of the pendulum = T = 2π * √(L/g)
Frequency of pendulum swing = f = 1/2π * √(g/L)
Potential difference induced between the ends of the pendulum rod/wire
= V = - dφ/dt = - φ * f = - 1/2π * 2 BL θ * √(g/L)
= - (Bθ/π) √(Lg)
A = L * 2θ
Magnetic field= B (perpendicular to the plane of the swing)
Magnetic flux = φ = B * area = 2 B L θ
The time period of the pendulum = T = 2π * √(L/g)
Frequency of pendulum swing = f = 1/2π * √(g/L)
Potential difference induced between the ends of the pendulum rod/wire
= V = - dφ/dt = - φ * f = - 1/2π * 2 BL θ * √(g/L)
= - (Bθ/π) √(Lg)
kvnmurty:
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