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Question

Physics Question on Current electricity

In a triode valve, the plate resistance is 10000Ω10000\, \Omega and the anode load resistance is 30000Ω30000\, \Omega. If the amplification factor is 3636 , then the voltage gain is :

A

9

B

27

C

36

D

108

Answer

27

Explanation

Solution

Voltage amplification (gain) is given by
A=μ1+rpRLA=\frac{\mu}{1+\frac{r_{p}}{R_{L}}}
where μ\mu is amplification factor, rpr_{p} is plate resistance and RLR_{L} is load resistance.
Given, μ=36,rp=10000Ω,RL=30000Ω\mu=36,\, r_{p}=10000\, \Omega, R_{L}=30000\, \Omega
Putting in the relation, we obtain
A=361+1000030000A =\frac{36}{1+\frac{10000}{30000}}
=361+13=\frac{36}{1+\frac{1}{3}}
=36×34=\frac{36 \times 3}{4}
=27=27