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If a C.E. stage has a load Rl and transconductance gm, what is the factor by which the capacitance between the base and the collector at the input side gets multiplied?

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If a C.E. stage has a load Rl and transconductance gm, what is the factor by which the capacitance between the base and the collector at the input side gets multiplied?

(a) 1 + gmRl

(b) 1 – gmRl

(c) 1 + 2*gmRl

(d) 1 – 2*gmRl

I had been asked this question during an online exam.

The query is from Effect of Various Capacitors on Frequency Response topic in chapter Transistor Frequency Response of Analog Circuits

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The correct choice is (a) 1 + gmRl

Best explanation: The low frequency gain of the C.E. stage is gmRl. By the application of miller effect, we find that the capacitor between the base and the collector, looking into the input of the C.E. stage, will be increased by a factor of 1 + gmRl.

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