Problem $6$:$$ An antenna with power P $=1\mathrm{.}4103$ W is radiating spherical electromagnetic waves. Consider a place which is d $=775$ m away from the antenna.

Randomized Variables

P $=1\mathrm{.}4103$ W

d $=775$ m

Part $($a$)$ Express the average intensity of the wave, I, in terms of P and d$.$

Expression$$:

I $=\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

Select from the variables below to write your expression. Note that all variables may not be required.

$,$ $,$ $0,$ $,$ $,$ c$,$ d$,$ Emax, g$,$ h$,$ i$,$ j$,$ m$,$ P$,$ t

Part $($b$)$ Express I in terms of the electric field magnitude Emax, the speed of light c$,$ and the permeability of free space $0.$

Expression$$:

I $=\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

Select from the variables below to write your expression. Note that all variables may not be required.

$,$ $,$ $0,$ $,$ $,$ c$,$ d$,$ Emax, g$,$ h$,$ i$,$ j$,$ m$,$ P$,$ t

Part $($c$)$ Find Emax$2$ in terms of P$,$ d$,$ c$,$ and $0.$

Expression$$:

Emax$2=\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

Select from the variables below to write your expression. Note that all variables may not be required.

$,$ $,$ $0,$ $,$ $,$ c$,$ d$,$ Emax, g$,$ h$,$ i$,$ j$,$ m$,$ P$,$ t

Part $($d$)$ Solve for the numerical value of Emax in volts per meter.

Numeric$$: A numeric value is expected and not an expression.

Emax $=\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$