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The rms voltage output of the generator is 1.94 × 10⁻ ⁵ V.
RMS is an acronym for root mean squared. An RMS value is more than just the "amount of AC power that causes the same heating impact as an analogous DC power" or something along those lines.
No. of loop = 795
Diameter of the coil = 10.5 cm
Radius of the coil = 5.25 cm
Magnetic Field, B = 0.45 T
Time, t = 70.0 rev/s
[tex]V_{rms} =\frac{NwAB}{\sqrt{2} }[/tex]
Where,
N = No. of loop
A = Area of the coil
B = Magnetic Field
[tex]V_{rms}[/tex] = Voltage rms
Area of the coil = πr²
= 86.57 cm²
w = 2π/t
=( 2 × 3.141)/70.0
= 0.089
[tex]V_{rms} =\frac{795*0.089*86.57* 0.45}{\sqrt{2} }\\\\V_{rms} =\frac{2756.36}{\sqrt{2} }\\\\\\V_{rms} =\frac{2756.36}{1.414 }\\\\V_{rms} = 1.94 * 10^-^5 V[/tex]
Therefore, the rms voltage output of the generator is 1.94 × 10⁻ ⁵ V.
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