Determine the existing power factor (no units) of the circuit shown below. Assume a function generator frequency of 1 kHz.

(Note: Assume the 10 ohm resistor is negligible.)

Calculate the frequency (in Hz) at which series resonance occurs for the circuit shown below. 

DO NOT INCLUDE YOUR UNITS IN THE ANSWER AS THIS QUIZ QUESTION GRADES ONLY NUMERICAL VALUES.

Determine the phase angle (in degrees) between the two sine waves displayed on the oscilloscope screen below.

DO NOT INCLUDE YOUR UNITS IN THE ANSWER AS THIS QUIZ QUESTION GRADES ONLY NUMERICAL VALUES.

The oscilloscope settings are as follows:

CH1: 5 Volts / DIV

CH2: 5 Volts / DIV

Time/DIV: 0.2 ms / DIV

Match the reactance of the component with its behaviour as the source frequency is increased.

Z_C - impedance of capacitor

Z_L - impedance of inductor

Z_R - impedance of resistor

The resonance of a series RLC circuit occurs when the inductive and capacitive reactances are equal in magnitude. These reactances therefore cancel each other because they are 180 degrees apart in phase. The cancelling of the reactances of L and C causes the RLC circuit to behave like a simple resistor of the magnitude of its R value. The circuit impedance is lowest at the resonant frequency and hence the current flow through the device is maximized at resonance. 

An aluminium plate has a hole with diameter of  at room temperature. Calculate the temperature that needs to be achieved to get a increment of  of the area of the hole. Use 5 decimals.

Question 1.2.2

What is the flag found?

Flag format: apuCTF{flag}

Question 1.2.1

Question 1.1.2

What is the flag found?

Flag format: apuCTF{flag}

Question 1.1.1

What are the algorithms use to decipher the text?