Answer:
The average emf induced in the coil is [tex]5.6\times10^{-3}\ mV[/tex].
Explanation:
Given that,
Number of turns = 1000 turns
Area = 85 cm²
Time = 0.090 s
Its plane is perpendicular to Earth's magnetic field.
Angle = 0°
Magnetic strength [tex]B=6.0\times10^{-5}\ T[/tex]
We need to calculate the magnetic flux
Using formula of magnetic flux
[tex]\phi=BA\cos\theta[/tex]
Put the value into the formula
[tex]\phi=6.0\times10^{-5}\times85\times10^{-4}\times\cos0^{\circ}[/tex]
[tex]\phi =6.0\times10^{-5}\times85\times10^{-4}\times1[/tex]
[tex]\phi=5.1\times10^{-7}\ Wb[/tex]
We need to calculate the average emf induced in the coil
[tex]\epsilon=\dfrac{d\phi}{dt}[/tex]
Put the value into the formula
[tex]\epsilon=\dfrac{5.1\times10^{-7}}{0.090}[/tex]
[tex]\epsilon=0.0000056\ N[/tex]
[tex]\epsilon =5.6\times10^{-3}\ mV[/tex]
Hence, The average emf induced in the coil is [tex]5.6\times10^{-3}\ mV[/tex].
