A) \[3.07\times {{10}^{-8}}\text{H}\]
B) \[2.07\times {{10}^{-8}}\text{H}\]
C) \[4.07\times {{10}^{-8}}\text{H}\]
D) \[6.07\times {{10}^{-8}}\text{H}\]
Correct Answer: A
Solution :
The frequency of radiowaves (speed\[c=3\times {{10}^{8}}m\text{/}s\]) transmitted \[f=\frac{c}{\lambda }=\frac{3\times {{10}^{8}}}{360}=8.3\times {{10}^{5}}Hz\] Frequency of series resonant circuit \[f=\frac{1}{2\pi \sqrt{LC}}\] or \[L=\frac{1}{{{(2\pi f)}^{2}}C}\] \[=\frac{1}{{{(2\times 3.14\times 8.3\times {{10}^{5}})}^{2}}\times 1.20\times {{10}^{-6}}}\] \[=3.07\times {{10}^{-8}}H\]You need to login to perform this action.
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