The gain, G, of an amplifier in decibels may be written G ¼ 20 log 10ð Þ Vout=Vin , where Vout and Vin are the output and input voltages of the amplifier respectively. A student finds the output...

The gain, G, of an amplifier in decibels may be written G ¼ 20 log 10ð Þ Vout=Vin , where Vout and Vin are the output and input voltages of the amplifier respectively. A student finds the output voltage of an amplifier to be (122 3) mV and the input voltage to be (33 2) mV. Calculate the gain of the amplifier and the uncertainty in the gain. Hint: if you are going to use the method for combining uncertainties discussed in Section 4.5.2, then it is useful to know that if