A radio receiver antenna that is 2 m long is oriented along the direction of the electromagnetic wave and receives…

Q: A radio receiver antenna that is 2 m long is oriented along the direction of the electromagnetic wave and receives a signal of intensity 5 × 10-16 W / m2. The maximum instantaneous potential difference across the two ends of the antenna is

(a) 1.23 μV

(b) 1.23 mV

(c) 1.23 V

(d) 12.3 μV

Ans: (a)

Sol: Energy Density $ u = \frac{1}{2}\epsilon_0 E_0^2 $

$ \frac{I}{c} = \frac{1}{2}\epsilon_0 E_0^2 $

Find E0 then , V0 = E0 d , where d= 2m