Question

If a display has a dynamic range of 20 dB and the smallest voltage it can handle is 200 mV, then the largest voltage it can handle is_________V.

a. 20

b. 2.0

c. 0.2

d. 0.02

Answer 1

The largest voltage is 0.02 V.

(d) is correct option.

Step-by-step explanation:

Given that,

Range = 20 dB

Smallest voltage = 200 mV

We need to calculate the largest voltage

Using formula of voltage gain

`G_(dB)=10 log_(10)((V_(out)^2)/(V_(in)^(2)))`

`20 =10 log_(10)((V_(out)^2)/(V_(in)^(2)))`

`2=log_(10)((V_(out)^2)/(V_(in)^(2)))`

`10^2=(V_(out)^2)/(V_(in)^(2))`

`(V_(out))/(V_(in)^)=10`

`V_(in)=(V_(out))/(10)`

`V_(in)=(200)/(10)`

`V_(in)=20\ mV`

`V_(in)=0.02\ V`

Hence, The largest voltage is 0.02 V.