Answer:
-1.25837 V
Explanation:
[tex]B=24nTsin(\omega t)[/tex]
Time differentiated magnetic field is given by
[tex]\dfrac{dB}{dt}=\dfrac{d24ntsin(\omega t)}{dt}\\\Rightarrow \dfrac{dB}{dt}=24nT\dfrac{dsin(\omega t)}{dt}\\\Rightarrow \dfrac{dB}{dt}=24nT\omega cos\omega t[/tex]
[tex]cos\omega t=1[/tex]
Maximum emf is given by
[tex]\epsilon=-A\dfrac{dB}{dt}\\\Rightarrow \epsilon=-A24nT\omega cos\omega t\\\Rightarrow \epsilon=-A24nT\omega 1\\\Rightarrow \epsilon=-\pi 0.125^2\times 24\times 10^{-9}\times 2\pi 170\times 10^{6}\\\Rightarrow \epsilon=-1.25837\ V[/tex]
The maximum emf induced in the antenna is -1.25837 V