Question

8. An antenna is designed by circulating a current around a circular loop of radius $R$ with its axis along the $z$ axis direction. The current has the form $I(\phi, t) = I_0 \cos(\omega t - \phi)$ where $\phi$ denotes the azimuthal angle of a point on the loop. a) Find the charge per unit length, $\lambda(\phi, t)$. (4) b) Find the radiated power. (8)

          8. An antenna is designed by circulating a current around a circular loop of radius $R$ with its axis along the $z$ axis direction. The current has the form

$I(\phi, t) = I_0 \cos(\omega t - \phi)$

where $\phi$ denotes the azimuthal angle of a point on the loop.
a) Find the charge per unit length, $\lambda(\phi, t)$.
(4)
b) Find the radiated power.
(8)

8. An antenna is designed by circulating a current around a circular loop of radius R with its axis along the z axis direction. The current has the form

I(ϕ, t) = I0 cos(ω t - ϕ)

where ϕ denotes the azimuthal angle of a point on the loop.
a) Find the charge per unit length, λ(ϕ, t).
(4)
b) Find the radiated power.
(8)

Added by Madison A.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Penny Riley

10/06/2023

Step 1

The charge density can be found using the formula: $\lambda(\phi, t) = \frac{I(\phi, t)}{v}$ where $v$ is the velocity of the charge carriers. In this case, the charge carriers are moving along the circular loop, so the velocity can be calculated as \(v = Show more…

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An antenna is designed by circulating a current around a circular loop of radius R with its axis along the z axis direction. The current has the form I(phi ,t)=I_(0)cos(omega t-phi ) where phi denotes the azimuthal angle of a point on the loop. a) Find the charge per unit length, lambda (phi ,t). b) Find the radiated power. 8. An antenna is designed by circulating a current around a circular loop of radius R with its axis along the z axis direction.The current has the form 1,t=1coswt- where denotes the azimuthal angle of a point on the loop a Find the charge per unit lengtht. (4) (8) bFind the radiated power.