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Capacitors - Technical MCQs

Q1:

What is the total current for a 5 MHz, 1 Vac circuit that consists of a 27 pF capacitor and a 1 k resistor connected in parallel?

A 459 A

B 647 A

C 1.31 mA

D 1.85 mA

ANS:C - 1.31 mA

ITotal = sqrt [ (V/R)^2 + (V/Xc)^2 ].
ITotal = sqrt [ (1/1000)^2 + (2pi(5MHz)(27pico))^2].

NOTE:

XC= 1 over 1/2piFC.
Or in simplest term = 2piFC.

So it becomes ITotal = Sqrt [ V/R)^2 + (2piFC)^2].
ITotal = 1.31mA.