Answer:
The largest voltage is 0.02 V.
(d) is correct option.
Explanation:
Given that,
Range = 20 dB
Smallest voltage = 200 mV
We need to calculate the largest voltage
Using formula of voltage gain
[tex]G_{dB}=10 log_{10}(\dfrac{V_{out}^2}{V_{in}^{2}})[/tex]
[tex]20 =10 log_{10}(\dfrac{V_{out}^2}{V_{in}^{2}})[/tex]
[tex]2=log_{10}(\dfrac{V_{out}^2}{V_{in}^{2}})[/tex]
[tex]10^2=\dfrac{V_{out}^2}{V_{in}^{2}}[/tex]
[tex]\dfrac{V_{out}}{V_{in}^}=10[/tex]
[tex]V_{in}=\dfrac{V_{out}}{10}[/tex]
[tex]V_{in}=\dfrac{200}{10}[/tex]
[tex]V_{in}=20\ mV[/tex]
[tex]V_{in}=0.02\ V[/tex]
Hence, The largest voltage is 0.02 V.
