Problem $7$:$$ A $2\mathrm{.}66$m diameter university communications satellite dish receives TV signals that have a maximum electric field strength $($for one channel$)$ of $8\mathrm{.}87$V$/$m$.$

Part $($a$)$ What is the intensity, in watts per squared meter, of this wave?

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

I $=\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$W$/$m$2$

Part $($b$)$ What is the power, in watts, received by the antenna?

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

P $=\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$W

Part $($c$)$ If the orbiting satellite broadcasts uniformly over an area of $1\mathrm{.}501013$m$2($a large fraction of North America$),$ how much power, in watts, does it radiate?

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

P $=\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$W