1. Sep 7, 2009

### cmerickson21

1. The problem statement, all variables and given/known data
An AM Radio station broadcasts isotropically(equally in all directions) with an average power of 4.00kW. A dipole receiving antenna 65.0cm long is at a location 4.00 mi from the transmitter. Compute the amplitude of the emf that is induced by this signal between the ends of the receiving antenna.

2. Relevant equations
$$P$$$$_{avg}$$=S$$_{}avg$$A
E$$_{max}$$=$$\sqrt{\mu_{\circ}$$cP$$_{avg}$$/2$$\pi$$r^2}
B$$_{max}$$=$$\frac{E_{max}}{C}$$

3. The attempt at a solution
Used the avg power to find the E$$_{max}$$ to be .0058V/M. tHen used this to find the B$$_{max}$$ to be 1.9305*10^-11T. I am not sure how to calculate the emf from this.

2. Sep 7, 2009

### Redbelly98

Staff Emeritus
Use the fact that the antenna is 65.0 cm long, and the value of Emax that you found.

3. Sep 7, 2009

### cmerickson21

what equation would I use those in?

4. Sep 7, 2009

### Redbelly98

Staff Emeritus
Here's a hint: the units on Emax are V/m ... which could also be converted to V/cm if you like. You have the length in cm, as well as the number of Volts per cm ... so how many Volts?