An antenna is placed in a dielectric medium of dielectric constant 6.25. If the maximum size of that antenna is 5.0 mm. it can radiate a signal of minimum frequency of GHz. (Given μ r =1 for dielectric medium)

Question

An antenna is placed in a dielectric medium of dielectric constant 6.25. If the maximum size of that antenna is 5.0 mm. it can radiate a signal of minimum frequency of GHz. (Given μ r =1 for dielectric medium) (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

C prime=(C/√μ r ε r )=(3 × 108/√6.25)=(3 × 108/2.5) f λ=1.25 × 108 s ⇒ f (5 × 10-3 × 4)=1.25 × 108 f =6.25 GHz So f ≈ 6

Q. An antenna is placed in a dielectric medium of dielectric constant $6.25$ . If the maximum size of that antenna is $5.0 mm$ . it can radiate a signal of minimum frequency of _____ $G Hz$ .
(Given $μ_{r} = 1$ for dielectric medium)

$C^{'} = \frac{C}{μ _{r} ε _{r}} = \frac{3 \times 1 0 ^{8}}{6.25} = \frac{3 \times 1 0 ^{8}}{2.5}$
$f λ = 1.25 \times 1 0^{8} s$
$\Rightarrow f (5 \times 1 0^{- 3} \times 4) = 1.25 \times 1 0^{8}$
$f = 6.25 G Hz$
So $f \approx 6$

Q. An antenna is placed in a dielectric medium of dielectric constant 6.25. If the maximum size of that antenna is 5.0mm. it can radiate a signal of minimum frequency of _____ GHz. (Given μr​=1 for dielectric medium)

C′=μr​εr​​C​=6.25​3×108​=2.53×108​ fλ=1.25×108s ⇒f(5×10−3×4)=1.25×108 f=6.25GHz So f≈6

Q. An antenna is placed in a dielectric medium of dielectric constant $6.25$ . If the maximum size of that antenna is $5.0 mm$ . it can radiate a signal of minimum frequency of _____ $G Hz$ .
(Given $μ_{r} = 1$ for dielectric medium)

$C^{'} = \frac{C}{μ _{r} ε _{r}} = \frac{3 \times 1 0 ^{8}}{6.25} = \frac{3 \times 1 0 ^{8}}{2.5}$
$f λ = 1.25 \times 1 0^{8} s$
$\Rightarrow f (5 \times 1 0^{- 3} \times 4) = 1.25 \times 1 0^{8}$
$f = 6.25 G Hz$
So $f \approx 6$