Aconducting rod of 1m length rotating with a frequency of 50rev/sec ab...
Given:
- Length of the conducting rod, L = 1 m
- Frequency of rotation, f = 50 rev/sec
- Magnetic field, B = 6.28 mT = 6.28 × 10⁻³ T
To Find:
The value of induced emf between the ends of the rod.
Solution:
1. Calculate the Angular Velocity:
The angular velocity, ω, can be calculated using the formula:
ω = 2πf
Given that f = 50 rev/sec, we can substitute the value:
ω = 2π × 50 = 100π rad/sec
2. Calculate the Magnetic Flux:
The magnetic flux, Φ, can be calculated using the formula:
Φ = B × A
Where A is the area of the loop. In this case, the area is given by the product of the length of the rod and the width of the rod.
Given that the length of the rod, L = 1 m, we can assume that the width of the rod is negligible.
Therefore, the area, A = L × w = 1 × 0 = 0 m²
Since the area is zero, the magnetic flux, Φ, will also be zero.
3. Calculate the Induced emf:
The induced emf, ε, can be calculated using the formula:
ε = -N dΦ/dt
Where N is the number of turns in the coil and dΦ/dt is the rate of change of magnetic flux.
In this case, the rod is rotating about its end, so the number of turns, N = 1.
Since the magnetic flux, Φ, is zero, the rate of change of magnetic flux, dΦ/dt, will also be zero.
Therefore, the induced emf, ε, will be zero.
Answer:
The value of the induced emf between the ends of the rod is 0V. (Option 3)
Aconducting rod of 1m length rotating with a frequency of 50rev/sec ab...
.157 volt ( e= Bwl^2/2)
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