The inductance that must be connected to a capacitor is 5* 10⁻²¹ H.
If f is the frequency and λ is the wavelength of an electromagnetic wave, we know the relation between them as v = f * λ
The frequency is same as the frequency of oscillation of the current in the LC circuit of the generator.
f = 1/(2π* √LC)
where, C is the capacitance
L is the inductance
So, λ/(2π* √LC) = c
Given that, λ = 550* 10⁻⁹ m
C = 17 * 10⁻² F
c is the speed of light
Making L as subject, we have
L = λ²/(4π² C* c²) = (550* 10⁻⁹)² / [4π²(17 * 10⁻²) (3* 10⁸)²] = 5* 10⁻²¹ H
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